Preliminary Design Review: Loads, Structures, and Mechanisms. Michael Cunningham, Shimon Gewirtz, Rajesh Yalamanchili, Thomas Noyes

Size: px
Start display at page:

Download "Preliminary Design Review: Loads, Structures, and Mechanisms. Michael Cunningham, Shimon Gewirtz, Rajesh Yalamanchili, Thomas Noyes"

Transcription

1 Preliminary Design Review: Loads, Structures, and Mechanisms Michael Cunningham, Shimon Gewirtz, Rajesh Yalamanchili, Thomas Noyes

2 Crew Cabin Structure Height of ~3.7m from heat shield to top of the cone Internal pressure of 60 kpa Power, Propulsion, and Thermal systems mass of 1853 kg o However, all following calculations use a gross mass of 4795 kg Chosen because it had the fewest external structures previous to the following design

3 Choice of Shell Material Considered aluminum, high strength steel, low strength steel, and titanium. Material Density (lb/in 3 ) σ u /ρ Aluminum High strength steel Low strength steel Titanium

4 Choice of Shell Material All materials would be able to withstand the stresses that they would undergo at a 0.1m wall thickness with a reasonable safety factor Chose aluminum because the only consideration left is mass, and aluminum is the least massive Specifically, chose aluminum alloy 7075 T6 because it is the strongest of all aluminum alloys

5 Load Analysis

6 Pressurization loads Cabin pressure of 60 kpa Max pressurization load occurs in a vaccum This max stress is 5.26 MPa Pressure is maximized along the edges and at the bottom of the capsule

7 Pressure Loads

8 Docking Loads Assume a Δv of 0.10 m/s, a damping coefficient of 2000 N-s/m and a Δt of sec based on research Use a damper to absorb the force This means there is a max force of 800 N acting on the craft.

9 Vibrational Loads Used SolidWorks to compute resonant frequencies Mode Frequency (Hz)

10 Vibrational Load Mode 2

11 Vibrational Load Mode 3

12 Vibrational Load Mode 4

13 Vibrational Load Mode 5

14 Vibrational Load Summary Mode 1 did not produce any meaningful displacement Modes 4 and 5 produced large displacements (27.78 mm and mm respectively) at high frequency and would very likely result in complete structural failure

15 Earth Launch Acceleration Force Assumed max acceleration of 4.8 g's based on notes Assumed Pressure force and propulsive thrust act on the craft Max acceleration force is N Due to 25 half cone angle, this force breaks down into: o o Axial force of N Lateral force of N

16 Deformation Due to Launch Force

17 Earth EDL Deceleration Force Assumed max deceleration of 10 g's because research indicated that this is near the upper limit for safe re-entry Based on research, assumed a temperature of 176 Celsius reaches the capsule Max deceleration force is N Assumed Pressure load, thermal load, and frictional deceleration force all act on capsule

18 Earth EDL Deceleration Force

19 Velocity at Impact with Water Will deploy parachute at Mach 2 Deploying at Mach 2 will give the craft sufficient time to decelerate to terminal velocity. Assumptions: o Radius of parachute = 8.08 m o C d = 0.62 o γ = -30 degrees

20 Velocity at impact with water calculation Used following formulas: o β = m/(c d *A) o V = sqrt(-2*g*β*sin(γ)) Velocity at impact is m/s Assumed a max g load of 6.2 g's at splashdown based on loads during Apollo 11

21 Stress at Impact with Water

22 Stress at Impact with Water Max stress felt by craft during splashdown is 6.05 MPa Stresses are concentrated along the bottom of the craft Max displacement is under 0.3 mm

23 Basic Design of Crew Propulsion Stage

24 Engine and Nozzle Design We determined that if we were to generate a thrust of 1.5 MN we would have a nozzle diameter of m^2 with an area ratio of ~ In addition the diameters of the two paired spherical fuel and oxidizer tanks are 1.57 m and 1.61 m respectively. The tanks are distributed around the nozzle with the nozzle protruding from the center.

25 Landing Structure

26 Landing Gear Key Designations (in mm)

27 Landing Gear The landing structure is a truss with a telescoping foot The foot is surrounded by honeycomb material to attenuate landing loads and bounce. It ensures that the maximum acceleration the astronauts feel never exceeds one-and-a-half earth gravities

28 Landing Gear For our cross section we chose a bending moment of inertia and generated a contour of the radius ratios

29 Landing Gear The landing structure was analyzed for the critical buckling load (P crit ) in both the foot and main compressive truss member. P crit for the foot = 1.6 MN P crit for the main truss member = 294 kn

30 Landing Gear Deployment The main leg member is stowed by having joint C initially unattached and members AD and BD bent along their lengths to retain contact with point D in the retracted configuration. To deploy member CD is pyrotechnically actuated downward to lock node C in, where node C is attached at point C with a ball socket joint, and locked in to the node by the tension in AD and BD.

31 Leg Cant Angle The main leg strut was canted at a 45 o angle based on the desire to keep the maximum truss member force, F cd = 63 kn (C), lower down and retain stability of the craft to withstand tipping. This graph varies force applied through cant angles to get F effective. Fig. A gives forces resultant from this.

32 Figure A

33 Member and Reaction Forces (Truss) (For the worst case of landing on one leg) React d = e+004 React c = e+004 React b = e+004 React a = e+004 F ab = e+003 F ac = e+004 F ad = e+004 F bc = e+004 F bd = e+004 F cd = e+004

34 Safety Factor The landing gear calculations were done with a 1.2 Factor of safety to ensure conservative estimates for safety, while not adding too much to the initial launch and lunar launch masses.

35 Impact Attenuation We used honeycomb cylinders designed to crush at a designated pressure,p crush = 800 psi, to control our rate of compression of the honeycomb.

36 Impact Attenuation The honeycomb acts like a crumple zone to extend the maximum time over which the total impulse (I total = N-s) of impact is integrated (t crush =~0.25 s ) This decreases the transmitted acceleration (to A transmit = 1.49*g earth ), which is calculated by dividing the transmitted force by the mass, M tot =16905 kg, of the craft.

37 References delegations/designee_types/ame/media/section%20iii %20Returning%20from%20Space.pdf html Data-Sheets/Honeycomb_Attributes_and_Properties.pdf

38 References _ pdf

ENAE 483: Principles of Space System Design Loads, Structures, and Mechanisms

ENAE 483: Principles of Space System Design Loads, Structures, and Mechanisms ENAE 483: Principles of Space System Design Loads, Structures, and Mechanisms Team: Vera Klimchenko Kevin Lee Kenneth Murphy Brendan Smyth October 29 th, 2012 Presentation Overview Project Overview Mission

More information

D : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown.

D : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown. D : SOLID MECHANICS Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown. Q.2 Consider the forces of magnitude F acting on the sides of the regular hexagon having

More information

D : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each.

D : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each. GTE 2016 Q. 1 Q. 9 carry one mark each. D : SOLID MECHNICS Q.1 single degree of freedom vibrating system has mass of 5 kg, stiffness of 500 N/m and damping coefficient of 100 N-s/m. To make the system

More information

EMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 3 Torsion

EMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 3 Torsion EMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 3 Torsion Introduction Stress and strain in components subjected to torque T Circular Cross-section shape Material Shaft design Non-circular

More information

COLUMNS: BUCKLING (DIFFERENT ENDS)

COLUMNS: BUCKLING (DIFFERENT ENDS) COLUMNS: BUCKLING (DIFFERENT ENDS) Buckling of Long Straight Columns Example 4 Slide No. 1 A simple pin-connected truss is loaded and supported as shown in Fig. 1. All members of the truss are WT10 43

More information

CIV 207 Winter For practice

CIV 207 Winter For practice CIV 07 Winter 009 Assignment #10 Friday, March 0 th Complete the first three questions. Submit your work to Box #5 on the th floor of the MacDonald building by 1 noon on Tuesday March 31 st. No late submissions

More information

and F NAME: ME rd Sample Final Exam PROBLEM 1 (25 points) Prob. 1 questions are all or nothing. PROBLEM 1A. (5 points)

and F NAME: ME rd Sample Final Exam PROBLEM 1 (25 points) Prob. 1 questions are all or nothing. PROBLEM 1A. (5 points) ME 270 3 rd Sample inal Exam PROBLEM 1 (25 points) Prob. 1 questions are all or nothing. PROBLEM 1A. (5 points) IND: In your own words, please state Newton s Laws: 1 st Law = 2 nd Law = 3 rd Law = PROBLEM

More information

Name :. Roll No. :... Invigilator s Signature :.. CS/B.TECH (CE-NEW)/SEM-3/CE-301/ SOLID MECHANICS

Name :. Roll No. :... Invigilator s Signature :.. CS/B.TECH (CE-NEW)/SEM-3/CE-301/ SOLID MECHANICS Name :. Roll No. :..... Invigilator s Signature :.. 2011 SOLID MECHANICS Time Allotted : 3 Hours Full Marks : 70 The figures in the margin indicate full marks. Candidates are required to give their answers

More information

Statics Chapter II Fall 2018 Exercises Corresponding to Sections 2.1, 2.2, and 2.3

Statics Chapter II Fall 2018 Exercises Corresponding to Sections 2.1, 2.2, and 2.3 Statics Chapter II Fall 2018 Exercises Corresponding to Sections 2.1, 2.2, and 2.3 2 3 Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the

More information

Code No: R Set No. 1

Code No: R Set No. 1 Code No: R05010302 Set No. 1 I B.Tech Supplimentary Examinations, February 2008 ENGINEERING MECHANICS ( Common to Mechanical Engineering, Mechatronics, Metallurgy & Material Technology, Production Engineering,

More information

Critical Load columns buckling critical load

Critical Load columns buckling critical load Buckling of Columns Buckling of Columns Critical Load Some member may be subjected to compressive loadings, and if these members are long enough to cause the member to deflect laterally or sideway. To

More information

Massachusetts Institute of Technology Department of Aeronautics and Astronautics Cambridge, MA Problem Set 9

Massachusetts Institute of Technology Department of Aeronautics and Astronautics Cambridge, MA Problem Set 9 Massachusetts Institute of Technology Department of Aeronautics and Astronautics Cambridge, MA 02139 16.001/16.002 Unified Engineering I, II Fall 2006 Problem Set 9 Name: Due Date: 11/07/2006 M9.1 M9.2

More information

TUTORIAL SHEET 1. magnitude of P and the values of ø and θ. Ans: ø =74 0 and θ= 53 0

TUTORIAL SHEET 1. magnitude of P and the values of ø and θ. Ans: ø =74 0 and θ= 53 0 TUTORIAL SHEET 1 1. The rectangular platform is hinged at A and B and supported by a cable which passes over a frictionless hook at E. Knowing that the tension in the cable is 1349N, determine the moment

More information

Eng Sample Test 4

Eng Sample Test 4 1. An adjustable tow bar connecting the tractor unit H with the landing gear J of a large aircraft is shown in the figure. Adjusting the height of the hook F at the end of the tow bar is accomplished by

More information

Momentum and Impulse Practice Multiple Choice

Momentum and Impulse Practice Multiple Choice Choose the alternative that best answers the question and record your answer on the Scantron sheet provided 1. A ball of putty is thrown at a wall and sticks to its surface. Which of the following quantities

More information

Strength of Material. Shear Strain. Dr. Attaullah Shah

Strength of Material. Shear Strain. Dr. Attaullah Shah Strength of Material Shear Strain Dr. Attaullah Shah Shear Strain TRIAXIAL DEFORMATION Poisson's Ratio Relationship Between E, G, and ν BIAXIAL DEFORMATION Bulk Modulus of Elasticity or Modulus of Volume

More information

MECHANICS OF MATERIALS. Prepared by Engr. John Paul Timola

MECHANICS OF MATERIALS. Prepared by Engr. John Paul Timola MECHANICS OF MATERIALS Prepared by Engr. John Paul Timola Mechanics of materials branch of mechanics that studies the internal effects of stress and strain in a solid body. stress is associated with the

More information

CHAPTER 5 Statically Determinate Plane Trusses

CHAPTER 5 Statically Determinate Plane Trusses CHAPTER 5 Statically Determinate Plane Trusses TYPES OF ROOF TRUSS TYPES OF ROOF TRUSS ROOF TRUSS SETUP ROOF TRUSS SETUP OBJECTIVES To determine the STABILITY and DETERMINACY of plane trusses To analyse

More information

ANALYSIS OF GATE 2018*(Memory Based) Mechanical Engineering

ANALYSIS OF GATE 2018*(Memory Based) Mechanical Engineering ANALYSIS OF GATE 2018*(Memory Based) Mechanical Engineering 6% 15% 13% 3% 8% Engineering Mathematics Engineering Mechanics Mechanics of Materials Theory Of Machines Machine Design Fluid Mechanics 19% 8%

More information

CHAPTER 5 Statically Determinate Plane Trusses TYPES OF ROOF TRUSS

CHAPTER 5 Statically Determinate Plane Trusses TYPES OF ROOF TRUSS CHAPTER 5 Statically Determinate Plane Trusses TYPES OF ROOF TRUSS 1 TYPES OF ROOF TRUSS ROOF TRUSS SETUP 2 ROOF TRUSS SETUP OBJECTIVES To determine the STABILITY and DETERMINACY of plane trusses To analyse

More information

UNIT-I STRESS, STRAIN. 1. A Member A B C D is subjected to loading as shown in fig determine the total elongation. Take E= 2 x10 5 N/mm 2

UNIT-I STRESS, STRAIN. 1. A Member A B C D is subjected to loading as shown in fig determine the total elongation. Take E= 2 x10 5 N/mm 2 UNIT-I STRESS, STRAIN 1. A Member A B C D is subjected to loading as shown in fig determine the total elongation. Take E= 2 x10 5 N/mm 2 Young s modulus E= 2 x10 5 N/mm 2 Area1=900mm 2 Area2=400mm 2 Area3=625mm

More information

MAAE 2202 A. Come to the PASS workshop with your mock exam complete. During the workshop you can work with other students to review your work.

MAAE 2202 A. Come to the PASS workshop with your mock exam complete. During the workshop you can work with other students to review your work. It is most beneficial to you to write this mock final exam UNDER EXAM CONDITIONS. This means: Complete the exam in 3 hours. Work on your own. Keep your textbook closed. Attempt every question. After the

More information

Special edition paper

Special edition paper Development of New Aseismatic Structure Using Escalators Kazunori Sasaki* Atsushi Hayashi* Hajime Yoshida** Toru Masuda* Aseismatic reinforcement work is often carried out in parallel with improvement

More information

PROBLEM #1.1 (4 + 4 points, no partial credit)

PROBLEM #1.1 (4 + 4 points, no partial credit) PROBLEM #1.1 ( + points, no partial credit A thermal switch consists of a copper bar which under elevation of temperature closes a gap and closes an electrical circuit. The copper bar possesses a length

More information

ME 354, MECHANICS OF MATERIALS LABORATORY COMPRESSION AND BUCKLING

ME 354, MECHANICS OF MATERIALS LABORATORY COMPRESSION AND BUCKLING ME 354, MECHANICS OF MATERIALS LABATY COMPRESSION AND BUCKLING PURPOSE 01 January 2000 / mgj The purpose of this exercise is to study the effects of end conditions, column length, and material properties

More information

[5] Stress and Strain

[5] Stress and Strain [5] Stress and Strain Page 1 of 34 [5] Stress and Strain [5.1] Internal Stress of Solids [5.2] Design of Simple Connections (will not be covered in class) [5.3] Deformation and Strain [5.4] Hooke s Law

More information

CHAPTER 2 Failure/Fracture Criterion

CHAPTER 2 Failure/Fracture Criterion (11) CHAPTER 2 Failure/Fracture Criterion (12) Failure (Yield) Criteria for Ductile Materials under Plane Stress Designer engineer: 1- Analysis of loading (for simple geometry using what you learn here

More information

Matlab Sheet 2. Arrays

Matlab Sheet 2. Arrays Matlab Sheet 2 Arrays 1. a. Create the vector x having 50 logarithmically spaced values starting at 10 and ending at 1000. b. Create the vector x having 20 logarithmically spaced values starting at 10

More information

Cone-shaped socket connections for cylindrical members

Cone-shaped socket connections for cylindrical members NSCC2009 Cone-shaped socket connections for cylindrical members H. Kuwamura 1 & T. Ito 2 1 Department of Architecture, The University of Tokyo, Tokyo, Japan 2 Department of Architecture, Tokyo University

More information

Question 1. Ignore bottom surface. Solution: Design variables: X = (R, H) Objective function: maximize volume, πr 2 H OR Minimize, f(x) = πr 2 H

Question 1. Ignore bottom surface. Solution: Design variables: X = (R, H) Objective function: maximize volume, πr 2 H OR Minimize, f(x) = πr 2 H Question 1 (Problem 2.3 of rora s Introduction to Optimum Design): Design a beer mug, shown in fig, to hold as much beer as possible. The height and radius of the mug should be not more than 20 cm. The

More information

Power, Propulsion and Thermal Design Project. Jesse Cummings Shimon Gewirtz Siddharth Parachuru Dennis Sanchez Alexander Slafkosky

Power, Propulsion and Thermal Design Project. Jesse Cummings Shimon Gewirtz Siddharth Parachuru Dennis Sanchez Alexander Slafkosky Power, Propulsion and Thermal Design Project Jesse Cummings Shimon Gewirtz Siddharth Parachuru Dennis Sanchez Alexander Slafkosky Mission Itinerary Days 1-3: Voyage to moon Days 4-7: On the lunar surface

More information

QUESTION BANK SEMESTER: III SUBJECT NAME: MECHANICS OF SOLIDS

QUESTION BANK SEMESTER: III SUBJECT NAME: MECHANICS OF SOLIDS QUESTION BANK SEMESTER: III SUBJECT NAME: MECHANICS OF SOLIDS UNIT 1- STRESS AND STRAIN PART A (2 Marks) 1. Define longitudinal strain and lateral strain. 2. State Hooke s law. 3. Define modular ratio,

More information

ME Final Exam. PROBLEM NO. 4 Part A (2 points max.) M (x) y. z (neutral axis) beam cross-sec+on. 20 kip ft. 0.2 ft. 10 ft. 0.1 ft.

ME Final Exam. PROBLEM NO. 4 Part A (2 points max.) M (x) y. z (neutral axis) beam cross-sec+on. 20 kip ft. 0.2 ft. 10 ft. 0.1 ft. ME 323 - Final Exam Name December 15, 2015 Instructor (circle) PROEM NO. 4 Part A (2 points max.) Krousgrill 11:30AM-12:20PM Ghosh 2:30-3:20PM Gonzalez 12:30-1:20PM Zhao 4:30-5:20PM M (x) y 20 kip ft 0.2

More information

Stress Analysis Lecture 3 ME 276 Spring Dr./ Ahmed Mohamed Nagib Elmekawy

Stress Analysis Lecture 3 ME 276 Spring Dr./ Ahmed Mohamed Nagib Elmekawy Stress Analysis Lecture 3 ME 276 Spring 2017-2018 Dr./ Ahmed Mohamed Nagib Elmekawy Axial Stress 2 Beam under the action of two tensile forces 3 Beam under the action of two tensile forces 4 Shear Stress

More information

INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad

INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad -00 04 CIVIL ENGINEERING QUESTION BANK Course Name : STRENGTH OF MATERIALS II Course Code : A404 Class : II B. Tech II Semester Section

More information

1. A pure shear deformation is shown. The volume is unchanged. What is the strain tensor.

1. A pure shear deformation is shown. The volume is unchanged. What is the strain tensor. Elasticity Homework Problems 2014 Section 1. The Strain Tensor. 1. A pure shear deformation is shown. The volume is unchanged. What is the strain tensor. 2. Given a steel bar compressed with a deformation

More information

Mechanics of Materials II. Chapter III. A review of the fundamental formulation of stress, strain, and deflection

Mechanics of Materials II. Chapter III. A review of the fundamental formulation of stress, strain, and deflection Mechanics of Materials II Chapter III A review of the fundamental formulation of stress, strain, and deflection Outline Introduction Assumtions and limitations Axial loading Torsion of circular shafts

More information

Space mission environments: sources for loading and structural requirements

Space mission environments: sources for loading and structural requirements Space structures Space mission environments: sources for loading and structural requirements Prof. P. Gaudenzi Università di Roma La Sapienza, Rome Italy paolo.gaudenzi@uniroma1.it 1 THE STRUCTURAL SYSTEM

More information

3. Write a detailed note on the following thrust vector control methods:

3. Write a detailed note on the following thrust vector control methods: Code No: R05322103 Set No. 1 1. Starting from the first principles and with the help of neatly drawn velocity triangles obtain the following relationship: Ψ = 2 Φ (tan β 2 + tan β 3 ) where Ψ is the blade

More information

Design and Structural Analysis of Propulsion Module for Sample Return Mission to 2010TK7

Design and Structural Analysis of Propulsion Module for Sample Return Mission to 2010TK7 Design and Structural Analysis of Propulsion Module for Sample Return Mission to 2010TK7 A Rathan Babu, Y Shwetha, G S D Madhav, R Suresh Kumar Department of Aeronautical Engineering, Institute of Aeronautical

More information

Sabah Shawkat Cabinet of Structural Engineering Walls carrying vertical loads should be designed as columns. Basically walls are designed in

Sabah Shawkat Cabinet of Structural Engineering Walls carrying vertical loads should be designed as columns. Basically walls are designed in Sabah Shawkat Cabinet of Structural Engineering 17 3.6 Shear walls Walls carrying vertical loads should be designed as columns. Basically walls are designed in the same manner as columns, but there are

More information

The University of Melbourne Engineering Mechanics

The University of Melbourne Engineering Mechanics The University of Melbourne 436-291 Engineering Mechanics Tutorial Four Poisson s Ratio and Axial Loading Part A (Introductory) 1. (Problem 9-22 from Hibbeler - Statics and Mechanics of Materials) A short

More information

SOLUTION (17.3) Known: A simply supported steel shaft is connected to an electric motor with a flexible coupling.

SOLUTION (17.3) Known: A simply supported steel shaft is connected to an electric motor with a flexible coupling. SOLUTION (17.3) Known: A simply supported steel shaft is connected to an electric motor with a flexible coupling. Find: Determine the value of the critical speed of rotation for the shaft. Schematic and

More information

QUESTION BANK DEPARTMENT: CIVIL SEMESTER: III SUBJECT CODE: CE2201 SUBJECT NAME: MECHANICS OF SOLIDS UNIT 1- STRESS AND STRAIN PART A

QUESTION BANK DEPARTMENT: CIVIL SEMESTER: III SUBJECT CODE: CE2201 SUBJECT NAME: MECHANICS OF SOLIDS UNIT 1- STRESS AND STRAIN PART A DEPARTMENT: CIVIL SUBJECT CODE: CE2201 QUESTION BANK SEMESTER: III SUBJECT NAME: MECHANICS OF SOLIDS UNIT 1- STRESS AND STRAIN PART A (2 Marks) 1. Define longitudinal strain and lateral strain. 2. State

More information

Determine the resultant internal loadings acting on the cross section at C of the beam shown in Fig. 1 4a.

Determine the resultant internal loadings acting on the cross section at C of the beam shown in Fig. 1 4a. E X M P L E 1.1 Determine the resultant internal loadings acting on the cross section at of the beam shown in Fig. 1 a. 70 N/m m 6 m Fig. 1 Support Reactions. This problem can be solved in the most direct

More information

σ = Eα(T T C PROBLEM #1.1 (4 + 4 points, no partial credit)

σ = Eα(T T C PROBLEM #1.1 (4 + 4 points, no partial credit) PROBLEM #1.1 (4 + 4 points, no partial credit A thermal switch consists of a copper bar which under elevation of temperature closes a gap and closes an electrical circuit. The copper bar possesses a length

More information

EMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 4 Pure Bending Homework Answers

EMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 4 Pure Bending Homework Answers EA 3702 echanics & aterials Science (echanics of aterials) Chapter 4 Pure Bending Homework Answers 100 mm Homework 4.1 For pure bending moment of 5 kn m on hollow beam with uniform wall thickness of 10

More information

Due Date 1 (for confirmation of final grade): Monday May 10 at 11:59pm Due Date 2 (absolute latest possible submission): Friday May 14 at 5pm

Due Date 1 (for  confirmation of final grade): Monday May 10 at 11:59pm Due Date 2 (absolute latest possible submission): Friday May 14 at 5pm ! ME345 Modeling and Simulation, Spring 2010 Case Study 3 Assigned: Friday April 16! Due Date 1 (for email confirmation of final grade): Monday May 10 at 11:59pm Due Date 2 (absolute latest possible submission):

More information

Samantha Ramirez, MSE. Stress. The intensity of the internal force acting on a specific plane (area) passing through a point. F 2

Samantha Ramirez, MSE. Stress. The intensity of the internal force acting on a specific plane (area) passing through a point. F 2 Samantha Ramirez, MSE Stress The intensity of the internal force acting on a specific plane (area) passing through a point. Δ ΔA Δ z Δ 1 2 ΔA Δ x Δ y ΔA is an infinitesimal size area with a uniform force

More information

Space Exploration Earth and Space. Project Mercury Courtesy of NASA Images

Space Exploration Earth and Space. Project Mercury Courtesy of NASA Images Project Mercury 1959-1963 3 Project Mercury 1959-1963 Project Mercury was America s first manned space program. It had three main goals: to orbit a manned spacecraft around Earth; to see if humans could

More information

Chapter 3. Inertia. Force. Free Body Diagram. Net Force. Mass. quantity of matter composing a body represented by m. units are kg

Chapter 3. Inertia. Force. Free Body Diagram. Net Force. Mass. quantity of matter composing a body represented by m. units are kg Chapter 3 Mass quantity of matter composing a body represented by m Kinetic Concepts for Analyzing Human Motion units are kg Inertia tendency to resist change in state of motion proportional to mass has

More information

Chapter 2: FORCE and MOTION

Chapter 2: FORCE and MOTION Chapter 2: FORCE and MOTION Linear Motion Linear motion is the movement of an object along a straight line. Distance The distance traveled by an object is the total length that is traveled by that object.

More information

R13. II B. Tech I Semester Regular Examinations, Jan MECHANICS OF SOLIDS (Com. to ME, AME, AE, MTE) PART-A

R13. II B. Tech I Semester Regular Examinations, Jan MECHANICS OF SOLIDS (Com. to ME, AME, AE, MTE) PART-A SET - 1 II B. Tech I Semester Regular Examinations, Jan - 2015 MECHANICS OF SOLIDS (Com. to ME, AME, AE, MTE) Time: 3 hours Max. Marks: 70 Note: 1. Question Paper consists of two parts (Part-A and Part-B)

More information

Whether a Soyuz Spacecraft really needs a parachute or is there an alternative?

Whether a Soyuz Spacecraft really needs a parachute or is there an alternative? International Journal of Scientific & Engineering Research Volume 4, Issue 1, January-2013 1 Whether a Soyuz Spacecraft really needs a parachute or is there an alternative? Pratham M Alag Abstract - This

More information

Final Exam - Spring

Final Exam - Spring EM121 Final Exam - Spring 2011-2012 Name : Section Number : Record all your answers to the multiple choice problems (1-15) by filling in the appropriate circle. All multiple choice answers will be graded

More information

ROLLER BEARING FAILURES IN REDUCTION GEAR CAUSED BY INADEQUATE DAMPING BY ELASTIC COUPLINGS FOR LOW ORDER EXCITATIONS

ROLLER BEARING FAILURES IN REDUCTION GEAR CAUSED BY INADEQUATE DAMPING BY ELASTIC COUPLINGS FOR LOW ORDER EXCITATIONS ROLLER BEARIG FAILURES I REDUCTIO GEAR CAUSED BY IADEQUATE DAMPIG BY ELASTIC COUPLIGS FOR LOW ORDER EXCITATIOS ~by Herbert Roeser, Trans Marine Propulsion Systems, Inc. Seattle Flexible couplings provide

More information

Announcements. Equilibrium of a Rigid Body

Announcements. Equilibrium of a Rigid Body Announcements Equilibrium of a Rigid Body Today s Objectives Identify support reactions Draw a free body diagram Class Activities Applications Support reactions Free body diagrams Examples Engr221 Chapter

More information

Personalised Learning Checklists AQA Physics Paper 2

Personalised Learning Checklists AQA Physics Paper 2 4.5.1 Forces and their interactions 4.5.2 Work done and energy AQA Physics (8463) from 2016 Topics P4.5. Forces Topic Student Checklist R A G Identify and describe scalar quantities and vector quantities

More information

Theory of structure I 2006/2013. Chapter one DETERMINACY & INDETERMINACY OF STRUCTURES

Theory of structure I 2006/2013. Chapter one DETERMINACY & INDETERMINACY OF STRUCTURES Chapter one DETERMINACY & INDETERMINACY OF STRUCTURES Introduction A structure refers to a system of connected parts used to support a load. Important examples related to civil engineering include buildings,

More information

Q. 1 Q. 5 carry one mark each.

Q. 1 Q. 5 carry one mark each. General ptitude G Set-8 Q. 1 Q. 5 carry one mark each. Q.1 The chairman requested the aggrieved shareholders to him. () bare with () bore with (C) bear with (D) bare Q.2 Identify the correct spelling out

More information

ENG1001 Engineering Design 1

ENG1001 Engineering Design 1 ENG1001 Engineering Design 1 Structure & Loads Determine forces that act on structures causing it to deform, bend, and stretch Forces push/pull on objects Structures are loaded by: > Dead loads permanent

More information

Power, Propulsion, and Thermal Preliminary Design Review James Black Matt Marcus Grant McLaughlin Michelle Sultzman

Power, Propulsion, and Thermal Preliminary Design Review James Black Matt Marcus Grant McLaughlin Michelle Sultzman Power, Propulsion, and Thermal Preliminary Design Review James Black Matt Marcus Grant McLaughlin Michelle Sultzman Outline 1. Crew Systems Design Selection 2. Thermal Requirements and Design 3. Power

More information

PES Institute of Technology

PES Institute of Technology PES Institute of Technology Bangalore south campus, Bangalore-5460100 Department of Mechanical Engineering Faculty name : Madhu M Date: 29/06/2012 SEM : 3 rd A SEC Subject : MECHANICS OF MATERIALS Subject

More information

Design of the Deployment Mechanism of Solar Array on a Small Satellite

Design of the Deployment Mechanism of Solar Array on a Small Satellite American Journal of Mechanical Engineering, 2013, Vol. 1, No. 3, 66-72 Available online at http://pubs.sciepub.com/ajme/1/3/2 Science and Education Publishing DOI:10.12691/ajme-1-3-2 Design of the Deployment

More information

Mechanics of Materials MENG 270 Fall 2003 Exam 3 Time allowed: 90min. Q.1(a) Q.1 (b) Q.2 Q.3 Q.4 Total

Mechanics of Materials MENG 270 Fall 2003 Exam 3 Time allowed: 90min. Q.1(a) Q.1 (b) Q.2 Q.3 Q.4 Total Mechanics of Materials MENG 70 Fall 00 Eam Time allowed: 90min Name. Computer No. Q.(a) Q. (b) Q. Q. Q.4 Total Problem No. (a) [5Points] An air vessel is 500 mm average diameter and 0 mm thickness, the

More information

COURSE TITLE : APPLIED MECHANICS & STRENGTH OF MATERIALS COURSE CODE : 4017 COURSE CATEGORY : A PERIODS/WEEK : 6 PERIODS/ SEMESTER : 108 CREDITS : 5

COURSE TITLE : APPLIED MECHANICS & STRENGTH OF MATERIALS COURSE CODE : 4017 COURSE CATEGORY : A PERIODS/WEEK : 6 PERIODS/ SEMESTER : 108 CREDITS : 5 COURSE TITLE : APPLIED MECHANICS & STRENGTH OF MATERIALS COURSE CODE : 4017 COURSE CATEGORY : A PERIODS/WEEK : 6 PERIODS/ SEMESTER : 108 CREDITS : 5 TIME SCHEDULE MODULE TOPICS PERIODS 1 Simple stresses

More information

(48) CHAPTER 3: TORSION

(48) CHAPTER 3: TORSION (48) CHAPTER 3: TORSION Introduction: In this chapter structural members and machine parts that are in torsion will be considered. More specifically, you will analyze the stresses and strains in members

More information

EXAM 3 MECHANICS 40% of the final grade

EXAM 3 MECHANICS 40% of the final grade EXAM 3 MECHANICS 40% of the final grade Winter 2018 Name: Each multiple-choice question is worth 2 marks. 1. The mass of the two wheels shown in the diagram is the same. A force of 1 N is exerted on the

More information

Dynamic Earth Pressure Problems and Retaining Walls. Behavior of Retaining Walls During Earthquakes. Soil Dynamics week # 12

Dynamic Earth Pressure Problems and Retaining Walls. Behavior of Retaining Walls During Earthquakes. Soil Dynamics week # 12 Dynamic Earth Pressure Problems and Retaining Walls 1/15 Behavior of Retaining Walls During Earthquakes - Permanent displacement = cc ' 2 2 due to one cycle of ground motion 2/15 Hence, questions are :

More information

Communication. Provides the interface between ground and the spacecraft Functions:

Communication. Provides the interface between ground and the spacecraft Functions: Telecomm Communication Provides the interface between ground and the spacecraft Functions: Lock onto the ground station signal (carrier tracking) Receive uplink and process it (command reception and detection)

More information

No Brain Too Small PHYSICS

No Brain Too Small PHYSICS MECHANICS: SIMPLE HARMONIC MOTION QUESTIONS SIMPLE HARMONIC MOTION (2016;3) A toy bumble bee hangs on a spring suspended from the ceiling in the laboratory. Tom pulls the bumble bee down 10.0 cm below

More information

End-of-unit 2. Answers to examination-style questions. Answers Marks Examiner s tips

End-of-unit 2. Answers to examination-style questions. Answers Marks Examiner s tips (a) Arrowed lines drawn to show: two components at right angles vertical component in line with weight (b) (i) Horizontal component of T is T cos 60 = 25 0.5 = 2.5 N or 3 N to 2 significant figures. (ii)

More information

CPO Science Foundations of Physics. Unit 8, Chapter 27

CPO Science Foundations of Physics. Unit 8, Chapter 27 CPO Science Foundations of Physics Unit 8, Chapter 27 Unit 8: Matter and Energy Chapter 27 The Physical Properties of Matter 27.1 Properties of Solids 27.2 Properties of Liquids and Fluids 27.3 Properties

More information

Solution: The strain in the bar is: ANS: E =6.37 GPa Poison s ration for the material is:

Solution: The strain in the bar is: ANS: E =6.37 GPa Poison s ration for the material is: Problem 10.4 A prismatic bar with length L 6m and a circular cross section with diameter D 0.0 m is subjected to 0-kN compressive forces at its ends. The length and diameter of the deformed bar are measured

More information

T1 T e c h n i c a l S e c t i o n

T1 T e c h n i c a l S e c t i o n 1.5 Principles of Noise Reduction A good vibration isolation system is reducing vibration transmission through structures and thus, radiation of these vibration into air, thereby reducing noise. There

More information

(Refer Slide Time: 1: 19)

(Refer Slide Time: 1: 19) Mechanical Measurements and Metrology Prof. S. P. Venkateshan Department of Mechanical Engineering Indian Institute of Technology, Madras Module - 4 Lecture - 46 Force Measurement So this will be lecture

More information

UD FSAE Front Impact Analysis

UD FSAE Front Impact Analysis UD FSAE Front Impact Analysis Patrick Geneva - pgeneva@udel.edu Corwin Dodd - cdodd@udel.edu Last Updated May 16, 2017 1 Introduction We look to preform an analysis on the front aerodynamic devices and

More information

1. Replace the given system of forces acting on a body as shown in figure 1 by a single force and couple acting at the point A.

1. Replace the given system of forces acting on a body as shown in figure 1 by a single force and couple acting at the point A. Code No: Z0321 / R07 Set No. 1 I B.Tech - Regular Examinations, June 2009 CLASSICAL MECHANICS ( Common to Mechanical Engineering, Chemical Engineering, Mechatronics, Production Engineering and Automobile

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS 2009 The McGraw-Hill Companies, Inc. All rights reserved. Fifth SI Edition CHAPTER 3 MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf David F. Mazurek Torsion Lecture Notes:

More information

Power, Propulsion and Thermal Design Project ENAE483 Fall 2012

Power, Propulsion and Thermal Design Project ENAE483 Fall 2012 Power, Propulsion and Thermal Design Project ENAE483 Fall 2012 Team B8: Josh Sloane Matt Rich Rajesh Yalamanchili Kiran Patel Introduction This project is an extension of Team A2's Crew Systems Project

More information

two structural analysis (statics & mechanics) APPLIED ACHITECTURAL STRUCTURES: DR. ANNE NICHOLS SPRING 2017 lecture STRUCTURAL ANALYSIS AND SYSTEMS

two structural analysis (statics & mechanics) APPLIED ACHITECTURAL STRUCTURES: DR. ANNE NICHOLS SPRING 2017 lecture STRUCTURAL ANALYSIS AND SYSTEMS APPLIED ACHITECTURAL STRUCTURES: STRUCTURAL ANALYSIS AND SYSTEMS DR. ANNE NICHOLS SPRING 2017 lecture two structural analysis (statics & mechanics) Analysis 1 Structural Requirements strength serviceability

More information

Module 4 : Deflection of Structures Lecture 4 : Strain Energy Method

Module 4 : Deflection of Structures Lecture 4 : Strain Energy Method Module 4 : Deflection of Structures Lecture 4 : Strain Energy Method Objectives In this course you will learn the following Deflection by strain energy method. Evaluation of strain energy in member under

More information

If the solution does not follow a logical thought process, it will be assumed in error.

If the solution does not follow a logical thought process, it will be assumed in error. Please indicate your group number (If applicable) Circle Your Instructor s Name and Section: MWF 8:30-9:20 AM Prof. Kai Ming Li MWF 2:30-3:20 PM Prof. Fabio Semperlotti MWF 9:30-10:20 AM Prof. Jim Jones

More information

Structural Analysis I Chapter 4 - Torsion TORSION

Structural Analysis I Chapter 4 - Torsion TORSION ORSION orsional stress results from the action of torsional or twisting moments acting about the longitudinal axis of a shaft. he effect of the application of a torsional moment, combined with appropriate

More information

PDDC 1 st Semester Civil Engineering Department Assignments of Mechanics of Solids [ ] Introduction, Fundamentals of Statics

PDDC 1 st Semester Civil Engineering Department Assignments of Mechanics of Solids [ ] Introduction, Fundamentals of Statics Page1 PDDC 1 st Semester Civil Engineering Department Assignments of Mechanics of Solids [2910601] Introduction, Fundamentals of Statics 1. Differentiate between Scalar and Vector quantity. Write S.I.

More information

B.Tech. Civil (Construction Management) / B.Tech. Civil (Water Resources Engineering)

B.Tech. Civil (Construction Management) / B.Tech. Civil (Water Resources Engineering) I B.Tech. Civil (Construction Management) / B.Tech. Civil (Water Resources Engineering) Term-End Examination 00 December, 2009 Co : ENGINEERING MECHANICS CD Time : 3 hours Maximum Marks : 70 Note : Attempt

More information

Reply to Dr. Greening

Reply to Dr. Greening Reply to Dr. Greening Author: The author of this work, Gordon Ross, was born in Dundee, Scotland. He holds degrees in both Mechanical and Manufacturing Engineering, graduating from Liverpool John Moores

More information

CHAPTER 4: BENDING OF BEAMS

CHAPTER 4: BENDING OF BEAMS (74) CHAPTER 4: BENDING OF BEAMS This chapter will be devoted to the analysis of prismatic members subjected to equal and opposite couples M and M' acting in the same longitudinal plane. Such members are

More information

Mechanical Design in Optical Engineering

Mechanical Design in Optical Engineering OPTI Buckling Buckling and Stability: As we learned in the previous lectures, structures may fail in a variety of ways, depending on the materials, load and support conditions. We had two primary concerns:

More information

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1 - LOADING SYSTEMS TUTORIAL 3 LOADED COMPONENTS

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1 - LOADING SYSTEMS TUTORIAL 3 LOADED COMPONENTS EDEXCEL NATIONAL CERTIICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQ LEVEL 3 OUTCOME 1 - LOADING SYSTEMS TUTORIAL 3 LOADED COMPONENTS 1. Be able to determine the effects of loading in static engineering

More information

MAHALAKSHMI ENGINEERING COLLEGE

MAHALAKSHMI ENGINEERING COLLEGE MAHALAKSHMI ENGINEERING COLLEGE TIRUCHIRAALLI - 6113. QUESTION WITH ANSWERS DEARTMENT : CIVIL SEMESTER: V SUB.CODE/ NAME: CE 5 / Strength of Materials UNIT 3 COULMNS ART - A ( marks) 1. Define columns

More information

Name : Applied Physics II Exam One Winter Multiple Choice ( 7 Points ):

Name :   Applied Physics II Exam One Winter Multiple Choice ( 7 Points ): Name : e-mail: Applied Physics II Exam One Winter 2006-2007 Multiple Choice ( 7 Points ): 1. Pure nitrogen gas is contained in a sealed tank containing a movable piston. The initial volume, pressure and

More information

Unit III Theory of columns. Dr.P.Venkateswara Rao, Associate Professor, Dept. of Civil Engg., SVCE, Sriperumbudir

Unit III Theory of columns. Dr.P.Venkateswara Rao, Associate Professor, Dept. of Civil Engg., SVCE, Sriperumbudir Unit III Theory of columns 1 Unit III Theory of Columns References: Punmia B.C.,"Theory of Structures" (SMTS) Vol II, Laxmi Publishing Pvt Ltd, New Delhi 2004. Rattan.S.S., "Strength of Materials", Tata

More information

Expandable Foam Impact Attenuation for Small Parafoil Payload Packages

Expandable Foam Impact Attenuation for Small Parafoil Payload Packages Courtesy of Julie Arnold and Paula Echeverri. Used with permission. 16.622 Final Report Expandable Foam Impact Attenuation for Small Parafoil Payload Packages Julie Arnold and Paula Echeverri November

More information

Chapter 7 Rocket Propulsion Physics

Chapter 7 Rocket Propulsion Physics Chapter 7 Rocket Propulsion Physics To move any spacecraft off the Earth, or indeed forward at all, there must be a system of propulsion. All rocket propulsion relies on Newton s Third Law of Motion: in

More information

Dynamic analysis of a reinforced concrete shear wall with strain rate effect. Synopsis. Introduction

Dynamic analysis of a reinforced concrete shear wall with strain rate effect. Synopsis. Introduction Dynamic analysis of a reinforced concrete shear wall with strain rate effect Synopsis A simplified analysis method for a reinforced concrete shear wall structure considering strain rate effects is presented.

More information

Shared on QualifyGate.com

Shared on QualifyGate.com GTE 014 Brief nalysis (Based on student test experiences in the stream of ME on 16th February, 014 - Second Session) Section wise analysis of the paper 1 Mark Marks Total No of Questions Engineering Mathematics

More information

Samantha Ramirez, MSE

Samantha Ramirez, MSE Samantha Ramirez, MSE Centroids The centroid of an area refers to the point that defines the geometric center for the area. In cases where the area has an axis of symmetry, the centroid will lie along

More information

MECE 3321: MECHANICS OF SOLIDS CHAPTER 5

MECE 3321: MECHANICS OF SOLIDS CHAPTER 5 MECE 3321: MECHANICS OF SOLIDS CHAPTER 5 SAMANTHA RAMIREZ TORSION Torque A moment that tends to twist a member about its longitudinal axis 1 TORSIONAL DEFORMATION OF A CIRCULAR SHAFT Assumption If the

More information

Solid Mechanics Homework Answers

Solid Mechanics Homework Answers Name: Date: Solid Mechanics Homework nswers Please show all of your work, including which equations you are using, and circle your final answer. Be sure to include the units in your answers. 1. The yield

More information