ERRATA for PE Mechanical Engineering: Machine Design and Materials Practice Exam ISBN: Copyright 2016 Errata posted 12/18/2017

Size: px
Start display at page:

Download "ERRATA for PE Mechanical Engineering: Machine Design and Materials Practice Exam ISBN: Copyright 2016 Errata posted 12/18/2017"

Transcription

1 ISBN: Copyright 016 Errata posted 1/18/017 Revisions are shown in red. Question 108, p. 13: Critical speed 15 gei L ρa where: L length of lead sew E modulus of elasticity I area moment of inertia ρ density A oss-sectional area g acceleration of gravity Question 11, p. 3: In the figure, M 7,000 in.-lb Question 510, p. 46: Option A should read as follows: (A) 0.19 age 1 of 7

2 ISBN: Copyright 016 Errata posted 1/18/017 Question 516, p. 49: The last sentence should read as follows: If the element is supported in all directions at the location shown in the bottom figure, the failure load will: Question 533, p. 60: The first sentence should read as follows: The hydraulic cylinder shown in the figure has a.75-in.-diameter piston (Area, A 5.94 in ) and is subjected to a maximum load from a maximum pressure of 3,000 psi. ins have been added to the figure as shown:.75 in. EFFECTIVE LENGTH 50 in. Question 537, p. 63: F d mean F d collar θ d collar 1.75 in. f collar 0.05 d mean 1.50 in. f sew 0.08 θ 3.033º 4 tpi T age of 7

3 ISBN: Copyright 016 Errata posted 1/18/017 Solution 11, p. 79: Ju f(3g + f ) 6 J h Ju h f (3g + f ) 6 g 6 in. f 1.5 in. M 7,000 in.-lb g 6 M r f + g ( ) mr 6M f + g τ J h f (3g + f ) h 6M f + g τ f (3g + f ) ( 7, 000) ( ) in (1,000) 1.5 in. ( ) 3/ 8n. i THE CORRECT ANSWER IS: (B) age 3 of 7

4 ISBN: Copyright 016 Errata posted 1/18/017 Solution 510, p. 94: Force on ceiling mg 400 lb Tension in chains: T cos lb T 31. lb Components TH T sin lb TV T cos lb Force on 400 lb block T lb T N F F F F N mg 400 lb + Fy 0 FF μn 400 lb or μn 00 lb Free-body diagram of 1/ device T V 44 in. 13 in. 0 T H 0 y 0 x 13 in. 10 in. N F F age 4 of 7

5 ISBN: Copyright 016 Errata posted 1/18/017 Solution 510, p. 94 (continued): + ΣM0 0 13TV 44TH 13 FF + 10N 0 (13)(00.) (44)(115.6) (13)(00) + 10N 0 N 1,08.9 lb μn 00 μ(1,08.9) μ ,08.9 THE CORRECT ANSWER IS: (A) age 5 of 7

6 ISBN: Copyright 016 Errata posted 1/18/017 Solution 516, p. 97: Check maximum compression load σ /A 6 Allowable force, σa ( N/m )( m)( 0. 5m) compression 10,800,000 N sustained. This is the maximum compressive load that can be σ e π E L/k ( ) Cπ EI leff C 1 for pinned bh 3 ( 0.50)( 0.100) 3 I 1 1 ( )(. ) π ( ) 5 4 I m 3,594,670 N l eff 1m ( )(. ) π ,376,8 N Exceeds compressive capacity so use compression. Failure is ineased by compression failurein compression 10, 800, failure in buckling 3, 594, 670 THE CORRECT ANSWER IS: (B) age 6 of 7

7 ISBN: Copyright 016 Errata posted 1/18/017 Solution 519, p. 98: oint (5) is outside the area of acceptable design (fatigue failure). oints on the Goodman Line have a limited fatigue life. THE CORRECT ANSWER IS: (B) Solution 533, p. 104: σ A rod Using safety factor of to Sy. 36,500 18,50 psi A rod Apiston 3, ,80 lbf 17,80 18, 50 18, 50 Arod πdrod 4Arod Arod drod π THE CORRECT ANSWER IS: (A) reviously posted errata continued on next page age 7 of 7

8 ISBN: Copyright 016 Errata posted 3/31/017 Revisions are shown in red. Solution 506, p. 9: Line 1 of the solution should read as follows: sin 5 1 reviously posted errata continued on next page age 1 of 1

9 ISBN: Copyright 016 Errata posted /17/017 Revisions are shown in red. Question 105, p. 11: Line should read as follows: If the delivery of parts from Source Y is delayed by 3 days, the total completion delay (days) will be most nearly: (A) 0 (B) 1 (C) (D) 3 Question 111, p. 16: Line 1 should read as follows: A circular rod will be loaded in simple tension. The rod has a length of 10 in. and a diameter of 3/8 in. Data for available materials are as follows: Solution 105, p. 70: The first paragraph should read as follows: If Task C is delayed by 3 days, but Task C has days of slack from initial itical path, then ABCE becomes the new itical path, and the total completion delay will be 1 day. THE CORRECT ANSWER IS: (B) age 1 of 1

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

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

Solution: The moment of inertia for the cross-section is: ANS: ANS: Problem 15.6 The material of the beam in Problem

Solution: The moment of inertia for the cross-section is: ANS: ANS: Problem 15.6 The material of the beam in Problem Problem 15.4 The beam consists of material with modulus of elasticity E 14x10 6 psi and is subjected to couples M 150, 000 in lb at its ends. (a) What is the resulting radius of curvature of the neutral

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

2. Rigid bar ABC supports a weight of W = 50 kn. Bar ABC is pinned at A and supported at B by rod (1). What is the axial force in rod (1)?

2. Rigid bar ABC supports a weight of W = 50 kn. Bar ABC is pinned at A and supported at B by rod (1). What is the axial force in rod (1)? IDE 110 S08 Test 1 Name: 1. Determine the internal axial forces in segments (1), (2) and (3). (a) N 1 = kn (b) N 2 = kn (c) N 3 = kn 2. Rigid bar ABC supports a weight of W = 50 kn. Bar ABC is pinned at

More information

EMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 10 Columns

EMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 10 Columns EMA 370 Mechanics & Materials Science (Mechanics of Materials) Chapter 10 Columns Columns Introduction Columns are vertical prismatic members subjected to compressive forces Goals: 1. Study the stability

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

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

Laboratory 4 Topic: Buckling

Laboratory 4 Topic: Buckling Laboratory 4 Topic: Buckling Objectives: To record the load-deflection response of a clamped-clamped column. To identify, from the recorded response, the collapse load of the column. Introduction: Buckling

More information

Chapter 6: Structural Analysis

Chapter 6: Structural Analysis Chapter 6: Structural Analysis APPLICATIONS Trusses are commonly used to support a roof. For a given truss geometry and load, how can we determine the forces in the truss members and select their sizes?

More information

Solution of Nonlinear Equations: Graphical and Incremental Sea

Solution of Nonlinear Equations: Graphical and Incremental Sea Outlines Solution of Nonlinear Equations: Graphical and Incremental Search Methods September 2, 2004 Outlines Part I: Review of Previous Lecture Part II: Sample Problems Solved with Numerical Methods Part

More information

Serviceability Deflection calculation

Serviceability Deflection calculation Chp-6:Lecture Goals Serviceability Deflection calculation Deflection example Structural Design Profession is concerned with: Limit States Philosophy: Strength Limit State (safety-fracture, fatigue, overturning

More information

MECH 401 Mechanical Design Applications

MECH 401 Mechanical Design Applications MECH 401 Mechanical Design Applications Dr. M. O Malley Master Notes Spring 008 Dr. D. M. McStravick Rice University Updates HW 1 due Thursday (1-17-08) Last time Introduction Units Reliability engineering

More information

ε t increases from the compressioncontrolled Figure 9.15: Adjusted interaction diagram

ε t increases from the compressioncontrolled Figure 9.15: Adjusted interaction diagram CHAPTER NINE COLUMNS 4 b. The modified axial strength in compression is reduced to account for accidental eccentricity. The magnitude of axial force evaluated in step (a) is multiplied by 0.80 in case

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

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

of the four-bar linkage shown in Figure 1 is T 12

of the four-bar linkage shown in Figure 1 is T 12 ME 5 - Machine Design I Fall Semester 0 Name of Student Lab Section Number FINL EM. OPEN BOOK ND CLOSED NOTES Wednesday, December th, 0 Use the blank paper provided for your solutions write on one side

More information

3.032 Problem Set 1 Fall 2007 Due: Start of Lecture,

3.032 Problem Set 1 Fall 2007 Due: Start of Lecture, 3.032 Problem Set 1 Fall 2007 Due: Start of Lecture, 09.14.07 1. The I35 bridge in Minneapolis collapsed in Summer 2007. The failure apparently occurred at a pin in the gusset plate of the truss supporting

More information

API 11E - Specification for Pumping Units

API 11E - Specification for Pumping Units API 11E - Specification for Pumping Units 5 Beam Pump Structure Requirements 5.1 General Requirements for beam pump structures are specified in the following sections. Only loads imposed on the structure

More information

Optimization of Connecting Rod on the basis of Static & Fatigue Analysis

Optimization of Connecting Rod on the basis of Static & Fatigue Analysis Optimization of Connecting Rod on the basis of Static & Fatigue Analysis Mr. Vikram A. Shedge 1, Prof. K. H. Munde 2 1 P. G. Student- ABMSP s Anantarao Pawar College of Engineering & Research, Parvati.

More information

ME 323 MIDTERM # 1: SOLUTION FALL SEMESTER Time allowed: 1hour

ME 323 MIDTERM # 1: SOLUTION FALL SEMESTER Time allowed: 1hour Instructions ME 2 MIDTERM # : SOLUTION FALL SEMESTER 20 Time allowed: hour. Begin each problem in the space provided on the examination sheets. If additional space is required, use the yellow paper provided.

More information

Mechanical Design. Design of Shaft

Mechanical Design. Design of Shaft Mechanical Design Design of Shaft Outline Practical information Shaft design Definition of shaft? It is a rotating member, in general, has a circular cross-section and is used to transmit power. The shaft

More information

MEMS Project 2 Assignment. Design of a Shaft to Transmit Torque Between Two Pulleys

MEMS Project 2 Assignment. Design of a Shaft to Transmit Torque Between Two Pulleys MEMS 029 Project 2 Assignment Design of a Shaft to Transmit Torque Between Two Pulleys Date: February 5, 206 Instructor: Dr. Stephen Ludwick Product Definition Shafts are incredibly important in order

More information

Introduction to Structural Member Properties

Introduction to Structural Member Properties Introduction to Structural Member Properties Structural Member Properties Moment of Inertia (I): a mathematical property of a cross-section (measured in inches 4 or in 4 ) that gives important information

More information

Handout 6: Rotational motion and moment of inertia. Angular velocity and angular acceleration

Handout 6: Rotational motion and moment of inertia. Angular velocity and angular acceleration 1 Handout 6: Rotational motion and moment of inertia Angular velocity and angular acceleration In Figure 1, a particle b is rotating about an axis along a circular path with radius r. The radius sweeps

More information

Exam 1 September 11, 2013

Exam 1 September 11, 2013 Exam 1 Instructions: You have 60 minutes to complete this exam. This is a closed-book, closed-notes exam. You are allowed to use an approved calculator during the exam. Usage of mobile phones and other

More information

Arberi Ferraj. Wentworth Institute of Technology. Design of Machine Elements MECH 420

Arberi Ferraj. Wentworth Institute of Technology. Design of Machine Elements MECH 420 P a g e 1 Arberi Ferraj Wentworth Institute of Technology Design of Machine Elements MECH 420 P a g e 2 1. Executive Summary A scissor car jack was designed and must be reverse-engineered in order to discover

More information

CEE 271: Applied Mechanics II, Dynamics Lecture 25: Ch.17, Sec.4-5

CEE 271: Applied Mechanics II, Dynamics Lecture 25: Ch.17, Sec.4-5 1 / 36 CEE 271: Applied Mechanics II, Dynamics Lecture 25: Ch.17, Sec.4-5 Prof. Albert S. Kim Civil and Environmental Engineering, University of Hawaii at Manoa Date: 2 / 36 EQUATIONS OF MOTION: ROTATION

More information

Name (Print) ME Mechanics of Materials Exam # 1 Date: October 5, 2016 Time: 8:00 10:00 PM

Name (Print) ME Mechanics of Materials Exam # 1 Date: October 5, 2016 Time: 8:00 10:00 PM Name (Print) (Last) (First) Instructions: ME 323 - Mechanics of Materials Exam # 1 Date: October 5, 2016 Time: 8:00 10:00 PM Circle your lecturer s name and your class meeting time. Gonzalez Krousgrill

More information

Unit 18 Other Issues In Buckling/Structural Instability

Unit 18 Other Issues In Buckling/Structural Instability Unit 18 Other Issues In Buckling/Structural Instability Readings: Rivello Timoshenko Jones 14.3, 14.5, 14.6, 14.7 (read these at least, others at your leisure ) Ch. 15, Ch. 16 Theory of Elastic Stability

More information

PLANAR KINETIC EQUATIONS OF MOTION: TRANSLATION

PLANAR KINETIC EQUATIONS OF MOTION: TRANSLATION PLANAR KINETIC EQUATIONS OF MOTION: TRANSLATION Today s Objectives: Students will be able to: 1. Apply the three equations of motion for a rigid body in planar motion. 2. Analyze problems involving translational

More information

Columns and Struts. 600 A Textbook of Machine Design

Columns and Struts. 600 A Textbook of Machine Design 600 A Textbook of Machine Design C H A P T E R 16 Columns and Struts 1. Introduction.. Failure of a Column or Strut. 3. Types of End Conditions of Columns. 4. Euler s Column Theory. 5. Assumptions in Euler

More information

BME 207 Introduction to Biomechanics Spring 2017

BME 207 Introduction to Biomechanics Spring 2017 April 7, 2017 UNIVERSITY OF RHODE ISAND Department of Electrical, Computer and Biomedical Engineering BE 207 Introduction to Biomechanics Spring 2017 Homework 7 Problem 14.3 in the textbook. In addition

More information

Steel Cross Sections. Structural Steel Design

Steel Cross Sections. Structural Steel Design Steel Cross Sections Structural Steel Design PROPERTIES OF SECTIONS Perhaps the most important properties of a beam are the depth and shape of its cross section. There are many to choose from, and there

More information

11.1 Virtual Work Procedures and Strategies, page 1 of 2

11.1 Virtual Work Procedures and Strategies, page 1 of 2 11.1 Virtual Work 11.1 Virtual Work rocedures and Strategies, page 1 of 2 rocedures and Strategies for Solving roblems Involving Virtual Work 1. Identify a single coordinate, q, that will completely define

More information

STRESS. Bar. ! Stress. ! Average Normal Stress in an Axially Loaded. ! Average Shear Stress. ! Allowable Stress. ! Design of Simple Connections

STRESS. Bar. ! Stress. ! Average Normal Stress in an Axially Loaded. ! Average Shear Stress. ! Allowable Stress. ! Design of Simple Connections STRESS! Stress Evisdom! verage Normal Stress in an xially Loaded ar! verage Shear Stress! llowable Stress! Design of Simple onnections 1 Equilibrium of a Deformable ody ody Force w F R x w(s). D s y Support

More information

Lecture 2: Introduction to Uncertainty

Lecture 2: Introduction to Uncertainty Lecture 2: Introduction to Uncertainty CHOI Hae-Jin School of Mechanical Engineering 1 Contents Sources of Uncertainty Deterministic vs Random Basic Statistics 2 Uncertainty Uncertainty is the information/knowledge

More information

Solution: T, A1, A2, A3, L1, L2, L3, E1, E2, E3, P are known Five equations in five unknowns, F1, F2, F3, ua and va

Solution: T, A1, A2, A3, L1, L2, L3, E1, E2, E3, P are known Five equations in five unknowns, F1, F2, F3, ua and va ME 323 Examination # 1 February 18, 2016 Name (Print) (Last) (First) Instructor PROBLEM #1 (20 points) A structure is constructed from members 1, 2 and 3, with these members made up of the same material

More information

20k rad/s and 2 10k rad/s,

20k rad/s and 2 10k rad/s, ME 35 - Machine Design I Summer Semester 0 Name of Student: Lab Section Number: FINAL EXAM. OPEN BOOK AND CLOSED NOTES. Thursday, August nd, 0 Please show all your work for your solutions on the blank

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

NAME: Given Formulae: Law of Cosines: Law of Sines:

NAME: Given Formulae: Law of Cosines: Law of Sines: NME: Given Formulae: Law of Cosines: EXM 3 PST PROBLEMS (LESSONS 21 TO 28) 100 points Thursday, November 16, 2017, 7pm to 9:30, Room 200 You are allowed to use a calculator and drawing equipment, only.

More information

Longitudinal buckling of slender pressurised tubes

Longitudinal buckling of slender pressurised tubes Fluid Structure Interaction VII 133 Longitudinal buckling of slender pressurised tubes S. Syngellakis Wesse Institute of Technology, UK Abstract This paper is concerned with Euler buckling of long slender

More information

Your Name: PHYSICS 101 MIDTERM. Please circle your section 1 9 am Galbiati 2 10 am Kwon 3 11 am McDonald 4 12:30 pm McDonald 5 12:30 pm Kwon

Your Name: PHYSICS 101 MIDTERM. Please circle your section 1 9 am Galbiati 2 10 am Kwon 3 11 am McDonald 4 12:30 pm McDonald 5 12:30 pm Kwon 1 Your Name: PHYSICS 101 MIDTERM October 26, 2006 2 hours Please circle your section 1 9 am Galbiati 2 10 am Kwon 3 11 am McDonald 4 12:30 pm McDonald 5 12:30 pm Kwon Problem Score 1 /13 2 /20 3 /20 4

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

Machine Design PE Technical Study Guide Errata

Machine Design PE Technical Study Guide Errata Machine Design PE Technical Study Guide Errata This product has been updated to incorporate all changes shown in the comments on the webpage and email comments as of August 20, 2018. If you have purchased

More information

ERRATA for PE Civil Structural Practice Exam ISBN Copyright 2014 (July 2016 Second Printing) Errata posted

ERRATA for PE Civil Structural Practice Exam ISBN Copyright 2014 (July 2016 Second Printing) Errata posted Errata posted 8-16-2017 Revisions are shown in red. Question 521, p. 47: Question 521 should read as follows: 521. The W10 22 steel eam (Fy = 50 ksi) shown in the figure is only raced at the center of

More information

2.1 Background of Piping Stresses

2.1 Background of Piping Stresses 2 Research Review One of the major additions to Tmin was the inclusion of analysis of a 2-Dimensional vertical piping span. The original plan from Dupont was to include several types of 2-D and 3-D vertical

More information

ENGR-1100 Introduction to Engineering Analysis. Lecture 19

ENGR-1100 Introduction to Engineering Analysis. Lecture 19 ENGR-1100 Introduction to Engineering Analysis Lecture 19 SIMPLE TRUSSES, THE METHOD OF JOINTS, & ZERO-FORCE MEMBERS Today s Objectives: Students will be able to: In-Class Activities: a) Define a simple

More information

Section Downloads. Section Downloads. Handouts & Slides can be printed. Other documents cannot be printed Course binders are available for purchase

Section Downloads. Section Downloads. Handouts & Slides can be printed. Other documents cannot be printed Course binders are available for purchase Level II: Section 04 Simplified Method (optional) Section Downloads Section Downloads Handouts & Slides can be printed Version.0 Other documents cannot be printed Course binders are available for purchase

More information

4. SHAFTS. A shaft is an element used to transmit power and torque, and it can support

4. SHAFTS. A shaft is an element used to transmit power and torque, and it can support 4. SHAFTS A shaft is an element used to transmit power and torque, and it can support reverse bending (fatigue). Most shafts have circular cross sections, either solid or tubular. The difference between

More information

5. What is the moment of inertia about the x - x axis of the rectangular beam shown?

5. What is the moment of inertia about the x - x axis of the rectangular beam shown? 1 of 5 Continuing Education Course #274 What Every Engineer Should Know About Structures Part D - Bending Strength Of Materials NOTE: The following question was revised on 15 August 2018 1. The moment

More information

UNIVERSITY OF SASKATCHEWAN ME MECHANICS OF MATERIALS I FINAL EXAM DECEMBER 13, 2008 Professor A. Dolovich

UNIVERSITY OF SASKATCHEWAN ME MECHANICS OF MATERIALS I FINAL EXAM DECEMBER 13, 2008 Professor A. Dolovich UNIVERSITY OF SASKATCHEWAN ME 313.3 MECHANICS OF MATERIALS I FINAL EXAM DECEMBER 13, 2008 Professor A. Dolovich A CLOSED BOOK EXAMINATION TIME: 3 HOURS For Marker s Use Only LAST NAME (printed): FIRST

More information

Chapter 5 Compression Member

Chapter 5 Compression Member Chapter 5 Compression Member This chapter starts with the behaviour of columns, general discussion of buckling, and determination of the axial load needed to buckle. Followed b the assumption of Euler

More information

9 MECHANICAL PROPERTIES OF SOLIDS

9 MECHANICAL PROPERTIES OF SOLIDS 9 MECHANICAL PROPERTIES OF SOLIDS Deforming force Deforming force is the force which changes the shape or size of a body. Restoring force Restoring force is the internal force developed inside the body

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

To Design a New Cross Section for Connecting Rod with a Target of 10% Weight Reduction

To Design a New Cross Section for Connecting Rod with a Target of 10% Weight Reduction To Design a New Cross Section for Connecting Rod with a Target of 10% Weight Reduction Priyanka Inderchandji Mutha 1 1Student, Dept. of Mechanical Engineering, Govt. College of Engineering, Aurangabad

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

needed to buckle an ideal column. Analyze the buckling with bending of a column. Discuss methods used to design concentric and eccentric columns.

needed to buckle an ideal column. Analyze the buckling with bending of a column. Discuss methods used to design concentric and eccentric columns. CHAPTER OBJECTIVES Discuss the behavior of columns. Discuss the buckling of columns. Determine the axial load needed to buckle an ideal column. Analyze the buckling with bending of a column. Discuss methods

More information

Statics: Lecture Notes for Sections

Statics: Lecture Notes for Sections Chapter 6: Structural Analysis Today s Objectives: Students will be able to: a) Define a simple truss. b) Determine the forces in members of a simple truss. c) Identify zero-force members. READING QUIZ

More information

ME C85/CE C30 Fall, Introduction to Solid Mechanics ME C85/CE C30. Final Exam. Fall, 2013

ME C85/CE C30 Fall, Introduction to Solid Mechanics ME C85/CE C30. Final Exam. Fall, 2013 Introduction to Solid Mechanics ME C85/CE C30 Fall, 2013 1. Leave an empty seat between you and the person (people) next to you. Unfortunately, there have been reports of cheating on the midterms, so we

More information

This Technical Note describes how the program checks column capacity or designs reinforced concrete columns when the ACI code is selected.

This Technical Note describes how the program checks column capacity or designs reinforced concrete columns when the ACI code is selected. COMPUTERS AND STRUCTURES, INC., BERKELEY, CALIFORNIA DECEMBER 2001 CONCRETE FRAME DESIGN ACI-318-99 Technical Note This Technical Note describes how the program checks column capacity or designs reinforced

More information

1.3 Working temperature T 200,0 1.4 Working environment. F... Guided seating. Light service. Cold formed springs. Music wire ASTM A228

1.3 Working temperature T 200,0 1.4 Working environment. F... Guided seating. Light service. Cold formed springs. Music wire ASTM A228 Helical cylindrical compression spring of round wires and bars i ii? 1.0 Calculation without errors. Project information Input parameters section Selection of load conditions, spring operational and production

More information

Materials: engineering, science, processing and design, 2nd edition Copyright (c)2010 Michael Ashby, Hugh Shercliff, David Cebon.

Materials: engineering, science, processing and design, 2nd edition Copyright (c)2010 Michael Ashby, Hugh Shercliff, David Cebon. Modes of Loading (1) tension (a) (2) compression (b) (3) bending (c) (4) torsion (d) and combinations of them (e) Figure 4.2 1 Standard Solution to Elastic Problems Three common modes of loading: (a) tie

More information

APPENDIX 1 MODEL CALCULATION OF VARIOUS CODES

APPENDIX 1 MODEL CALCULATION OF VARIOUS CODES 163 APPENDIX 1 MODEL CALCULATION OF VARIOUS CODES A1.1 DESIGN AS PER NORTH AMERICAN SPECIFICATION OF COLD FORMED STEEL (AISI S100: 2007) 1. Based on Initiation of Yielding: Effective yield moment, M n

More information

Mechanics of Materials CIVL 3322 / MECH 3322

Mechanics of Materials CIVL 3322 / MECH 3322 Mechanics of Materials CIVL 3322 / MECH 3322 2 3 4 5 6 7 8 9 10 A Quiz 11 A Quiz 12 A Quiz 13 A Quiz 14 A Quiz 15 A Quiz 16 In Statics, we spent most of our time looking at reactions at supports Two variations

More information

Engineering Mechanics: Statics STRUCTURAL ANALYSIS. by Dr. Ibrahim A. Assakkaf SPRING 2007 ENES 110 Statics

Engineering Mechanics: Statics STRUCTURAL ANALYSIS. by Dr. Ibrahim A. Assakkaf SPRING 2007 ENES 110 Statics CHAPTER Engineering Mechanics: Statics STRUCTURAL ANALYSIS College of Engineering Department of Mechanical Engineering Tenth Edition 6a by Dr. Ibrahim A. Assakkaf SPRING 2007 ENES 110 Statics Department

More information

IDE 110 Mechanics of Materials Spring 2006 Final Examination FOR GRADING ONLY

IDE 110 Mechanics of Materials Spring 2006 Final Examination FOR GRADING ONLY Spring 2006 Final Examination STUDENT S NAME (please print) STUDENT S SIGNATURE STUDENT NUMBER IDE 110 CLASS SECTION INSTRUCTOR S NAME Do not turn this page until instructed to start. Write your name on

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

Rutgers University Department of Physics & Astronomy. 01:750:271 Honors Physics I Fall Lecture 19. Home Page. Title Page. Page 1 of 36.

Rutgers University Department of Physics & Astronomy. 01:750:271 Honors Physics I Fall Lecture 19. Home Page. Title Page. Page 1 of 36. Rutgers University Department of Physics & Astronomy 01:750:271 Honors Physics I Fall 2015 Lecture 19 Page 1 of 36 12. Equilibrium and Elasticity How do objects behave under applied external forces? Under

More information

BREAKING OF A FALLING SPAGHETTI Hamid Ghaednia a, Hossein Azizinaghsh b

BREAKING OF A FALLING SPAGHETTI Hamid Ghaednia a, Hossein Azizinaghsh b BREAKING OF A FALLING SPAGHETTI Hamid Ghaednia a, Hossein Azizinaghsh b a Amir Kabir University of Technology, School of Civil Engineering, I. R. Iran b Sharif University of Technology, School of Computer

More information

PLATE GIRDERS II. Load. Web plate Welds A Longitudinal elevation. Fig. 1 A typical Plate Girder

PLATE GIRDERS II. Load. Web plate Welds A Longitudinal elevation. Fig. 1 A typical Plate Girder 16 PLATE GIRDERS II 1.0 INTRODUCTION This chapter describes the current practice for the design of plate girders adopting meaningful simplifications of the equations derived in the chapter on Plate Girders

More information

My conrod model can be found on the CD enclosed with this assignment.

My conrod model can be found on the CD enclosed with this assignment. Introduction This assignment deals with the Finite Element Analysis (FEA) of the top half of a Connecting rod. By using the Ideas computer software I am to analyse and determine the position and magnitude

More information

Calculating the Risk of Structural Failure

Calculating the Risk of Structural Failure Calculating the Risk of Structural Failure Presentation at Society of Reliability Engineers Meeting December 9, 2015 Bob Graber STARGroup Solutions, LLC robert.graber@stargroup.solutions Designing a Structure

More information

Announcements. Trusses Method of Joints

Announcements. Trusses Method of Joints Announcements Mountain Dew is an herbal supplement Today s Objectives Define a simple truss Trusses Method of Joints Determine the forces in members of a simple truss Identify zero-force members Class

More information

BREAKING OF A FALLING SPAGHETTI Hamid Ghaednia a, Hossein Azizinaghsh b

BREAKING OF A FALLING SPAGHETTI Hamid Ghaednia a, Hossein Azizinaghsh b BREAKING OF A FALLING SPAGHETTI Hamid Ghaednia a, Hossein Azizinaghsh b a Amir Kabir University of Technology, School of Civil Engineering, I. R. Iran b Sharif University of Technology, School of Computer

More information

Stress Strain Elasticity Modulus Young s Modulus Shear Modulus Bulk Modulus. Case study

Stress Strain Elasticity Modulus Young s Modulus Shear Modulus Bulk Modulus. Case study Stress Strain Elasticity Modulus Young s Modulus Shear Modulus Bulk Modulus Case study 2 In field of Physics, it explains how an object deforms under an applied force Real rigid bodies are elastic we can

More information

Local Buckling. Local Buckling in Columns. Buckling is not to be viewed only as failure of the entire member

Local Buckling. Local Buckling in Columns. Buckling is not to be viewed only as failure of the entire member Local Buckling MORGAN STATE UNIVERSITY SCHOOL OF ARCHITECTURE AND PLANNING LECTURE V Dr. Jason E. Charalamides Local Buckling in Columns Buckling is not to e viewed only as failure of the entire memer

More information

PC 1141 : AY 2012 /13

PC 1141 : AY 2012 /13 NUS Physics Society Past Year Paper Solutions PC 1141 : AY 2012 /13 Compiled by: NUS Physics Society Past Year Solution Team Yeo Zhen Yuan Ryan Goh Published on: November 17, 2015 1. An egg of mass 0.050

More information

Errata (Includes critical corrections only for the 1 st, 2 nd & 3 rd reprints)

Errata (Includes critical corrections only for the 1 st, 2 nd & 3 rd reprints) Page Number Errata (Includes critical corrections only for the 1 st, 2 nd & 3 rd reprints) Description of Correction Mechanics of Materials, 8e James M. Gere & Barry J. Goodno ISBN: 9781111577735 11 Figure

More information

Statics Principles. The laws of motion describe the interaction of forces acting on a body. Newton s First Law of Motion (law of inertia):

Statics Principles. The laws of motion describe the interaction of forces acting on a body. Newton s First Law of Motion (law of inertia): Unit 2 Review Statics Statics Principles The laws of motion describe the interaction of forces acting on a body Newton s First Law of Motion (law of inertia): An object in a state of rest or uniform motion

More information

General elastic beam with an elastic foundation

General elastic beam with an elastic foundation General elastic beam with an elastic foundation Figure 1 shows a beam-column on an elastic foundation. The beam is connected to a continuous series of foundation springs. The other end of the foundation

More information

Chapter 13: Oscillatory Motions

Chapter 13: Oscillatory Motions Chapter 13: Oscillatory Motions Simple harmonic motion Spring and Hooe s law When a mass hanging from a spring and in equilibrium, the Newton s nd law says: Fy ma Fs Fg 0 Fs Fg This means the force due

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

Impact. m k. Natural Period of Vibration τ. Static load Gray area Impact load t > 3 τ. Absorbing energy. Carrying loads

Impact. m k. Natural Period of Vibration τ. Static load Gray area Impact load t > 3 τ. Absorbing energy. Carrying loads Impact also called shock, sudden or impulsive loading driving a nail with a hammer, automobile collisions. dashpot a) Rapidly moving vehicles crossing a bridge To distinguish: b) Suddenly applied c) Direct

More information

Sample Questions for the ME328 Machine Design Final Examination Closed notes, closed book, no calculator.

Sample Questions for the ME328 Machine Design Final Examination Closed notes, closed book, no calculator. Sample Questions for the ME328 Machine Design Final Examination Closed notes, closed book, no calculator. The following is from the first page of the examination. I recommend you read it before the exam.

More information

Towards The. Design of Super Columns. Prof. AbdulQader Najmi

Towards The. Design of Super Columns. Prof. AbdulQader Najmi Towards The Design of Super Columns Prof. AbdulQader Najmi Description: Tubular Column Square or Round Filled with Concrete Provided with U-Links welded to its Walls as shown in Figure 1 Compression Specimen

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

6.4 A cylindrical specimen of a titanium alloy having an elastic modulus of 107 GPa ( psi) and

6.4 A cylindrical specimen of a titanium alloy having an elastic modulus of 107 GPa ( psi) and 6.4 A cylindrical specimen of a titanium alloy having an elastic modulus of 107 GPa (15.5 10 6 psi) and an original diameter of 3.8 mm (0.15 in.) will experience only elastic deformation when a tensile

More information

DNV DESIGN. POU_Rect - Design Report Page 1 of 11

DNV DESIGN. POU_Rect - Design Report Page 1 of 11 DNV DESIGN Page 1 of 11 Details Code Details Code DNV 2.7-1 2006 with AISC 360-10 ASD Description This is the 2006 edition of the DNV Standard for Certification No 2.7-1, which defines minimum technical

More information

Applied Fluid Mechanics

Applied Fluid Mechanics Applied Fluid Mechanics 1. The Nature of Fluid and the Study of Fluid Mechanics 2. Viscosity of Fluid 3. Pressure Measurement 4. Forces Due to Static Fluid 5. Buoyancy and Stability 6. Flow of Fluid and

More information

Rotational Kinetic Energy

Rotational Kinetic Energy Lecture 17, Chapter 10: Rotational Energy and Angular Momentum 1 Rotational Kinetic Energy Consider a rigid body rotating with an angular velocity ω about an axis. Clearly every point in the rigid body

More information

PHY2053 General Physics I

PHY2053 General Physics I PHY2053 General Physics I Section 584771 Prof. Douglas H. Laurence Final Exam May 3, 2018 Name: 1 Instructions: This final exam is a take home exam. It will be posted online sometime around noon of the

More information

Comb resonator design (2)

Comb resonator design (2) Lecture 6: Comb resonator design () -Intro Intro. to Mechanics of Materials School of Electrical l Engineering i and Computer Science, Seoul National University Nano/Micro Systems & Controls Laboratory

More information

TOPIC E: OSCILLATIONS EXAMPLES SPRING Q1. Find general solutions for the following differential equations:

TOPIC E: OSCILLATIONS EXAMPLES SPRING Q1. Find general solutions for the following differential equations: TOPIC E: OSCILLATIONS EXAMPLES SPRING 2019 Mathematics of Oscillating Systems Q1. Find general solutions for the following differential equations: Undamped Free Vibration Q2. A 4 g mass is suspended by

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

Karbala University College of Engineering Department of Civil Eng. Lecturer: Dr. Jawad T. Abodi

Karbala University College of Engineering Department of Civil Eng. Lecturer: Dr. Jawad T. Abodi Chapter 04 Structural Steel Design According to the AISC Manual 13 th Edition Analysis and Design of Compression Members By Dr. Jawad Talib Al-Nasrawi University of Karbala Department of Civil Engineering

More information

Section Downloads. Design Process. Design Principles Outline. Basic Design Principles. Design Process. Section 06: Design Principles.

Section Downloads. Design Process. Design Principles Outline. Basic Design Principles. Design Process. Section 06: Design Principles. Section Downloads Section 06: Design Principles 1 Download & Print TTT I Sec 06 Slides TTT I Sec 06 Handout Section 05 Truss Materials Design Values PS 20 Section 01 TPI 1-2007 Selection 6.4.2 Repetitive

More information

Part 1 is to be completed without notes, beam tables or a calculator. DO NOT turn Part 2 over until you have completed and turned in Part 1.

Part 1 is to be completed without notes, beam tables or a calculator. DO NOT turn Part 2 over until you have completed and turned in Part 1. NAME CM 3505 Fall 06 Test 2 Part 1 is to be completed without notes, beam tables or a calculator. Part 2 is to be completed after turning in Part 1. DO NOT turn Part 2 over until you have completed and

More information

ME-B41 Lab 1: Hydrostatics. Experimental Procedures

ME-B41 Lab 1: Hydrostatics. Experimental Procedures ME-B41 Lab 1: Hydrostatics In this lab you will do four brief experiments related to the following topics: manometry, buoyancy, forces on submerged planes, and hydraulics (a hydraulic jack). Each experiment

More information

UNIT- I Thin plate theory, Structural Instability:

UNIT- I Thin plate theory, Structural Instability: UNIT- I Thin plate theory, Structural Instability: Analysis of thin rectangular plates subject to bending, twisting, distributed transverse load, combined bending and in-plane loading Thin plates having

More information