COURSE STE6289 Modern Materials and Computations (Moderne materialer og beregninger 7.5 stp.)


 Sophia Doyle
 1 years ago
 Views:
Transcription
1 Narvik University College (Høgskolen i Narvik) EXAMINATION TASK COURSE STE6289 Modern Materials and Computations (Moderne materialer og beregninger 7.5 stp.) CLASS: Master students in Engineering Design (Ingeniørdesign (5ID)) DATE: Friday. December 205 TIME: , 3 hours NUMBER OF PAGES: 8 (inclusive Appendix: tables and formulae) UTILITIES: No printed or handwritten aids are allowed (e.g. dictionaries, cell phones, lap tops of any kind), except the paper copy of the report from the projects that are handed in at the exam. Certain, simple calculator is allowed (it should only have simple numerical and trigonometrical functions. The calculator should not have a graphical display, and if inspected it should be easy to identify). CONTACT PERSON DURING THE EXAM: professor Annette Meidell phone , mob or professor Dag Lukkassen tlf The exam can be answered in norwegian, scandinavian or english. Attach the final report concerning the project given in this course as the last subtask in this exam (mark it/them with your exam number not your name). Attach either one report in two paper copies or one paper copy and one electronically USB or CD (remember to mark it with student exam number only, and not your name). All papers must be handed in (except the Exam task itself). The total number of subtasks is 0, all having same weight. In Task "Project" the report(s) from the project should be attached and counts 2/5 of the total grade.
2 Figure 0.: A cantilever sandwich beam with an end point load. Task a) Describe the general basic properties of plastics. b) Explain how a structure with negative Poissons ratio will behave in contrast to a material or structure with positive Poissons ratio. Make a sketch and explain. c) How can you increase the stiffness and strength of a structure, when keeping the weight the same (or almost the same)? Task 2 In this task we are going to design a sandwich beam of length L = 3m such that the stiffness is P/δ = 23N/mm. It is required that the core has thickness t c = 00mm and depth b = 00mm and consists of a foam material with shear modulus G c = 30MPa, Poissons number ν c = 0 (i.e. E c = 2(+ν)30 = 2(+0)30 = 60MPa), see Figure 0.. The facings have Young s modulus of value E f = 20000MPa (Steel). We will use the approximation formula (EI) eq = D = E fbt f d 2. (0.) 2 a) Use the approximation d = t c in order to estimate the thickness of the facings t f such that the above requirements are met. b) How can we find the thickness of the facings t f if we use the exact identity d = t c + t f (you do not need to find the numerical value)? c) Is t f smaller or larger in the case a) than in the case b). Explain without calculating the value of t f. 2
3 Task 3 Consider a periodic symmetric unidirectional material structure which consists of two isotropic materials with a Y cell like the one in Figure 0.2 (note that this structure is not square symmetric). Figure 0.2: A periodic Ycell. a) By using ANSYS, we find that the following twodimensional boundary conditions (plane strain) u (0, x 2 ) = 0, u (2, x 2 ) = give the elastic energy W = 00. Use the equation for the energy W = 2 e C e Y, to find the element C of the effective stiffness matrix C given in (0.3). b) By using ANSYS, we find that the following twodimensional boundary conditions (plane strain) u 2 (x, 0) = 0, u 2 (x, ) = give the elastic energy W = 200. Use the equation for the energy W = 2 e C e Y, 3
4 to find the element C 2222 of the effective stiffness matrix C given in (0.3). c) By using ANSYS, we find that the following twodimensional boundary conditions (plane strain) u (0, x 2 ) = u 2 (x, 0) = 0, u (2, x 2 ) = u 2 (x, ) = /2 give the elastic energy W = 300. Use this and your answers in a) and b) to find the element C 22 (= C 22) of the effective stiffness matrix C given in (0.3). Task Projects Attach either one report in two paper copies or one paper copy and one electronically USB or CD (remember to mark it with your student exam number only, and not your name). 4
5 Appendix: Tables and formulae Mode of loading, (all beams of length L) Cantilever, end load, P Cantilever, Uniformly distributed load, q = P/L Threepoint bend, (simply supported) central load, P Threepoint bend, (simply supported) Uniformly distributed load, q = P/L Ends built in, Central load, P Ends built in, Uniformly distributed load, q = P/L δ b = B B 2 B 3 B 4 P L3 B δ (EI) s = P L eq B 2 (AG) eq M x = P L B 3 T x = P B Deflection: Deflection: δ = δ b + δ s = δ = δ b + δ s = P L3 P L +. B (EI) eq B 2 (AG) eq P L3 P L +. B (EI) eq B 2 (AG) eq 5
6 Maximum face stress: Wrinkling stress: Flexural rigidity: (we can use if (EI) eq = E fbt 3 f 6 σ f = M x max t c E f 2 (EI) eq. σ cr = E f E c G c + E fbt f d 2 2 (EI) eq = E fbt f d E cbt 3 c 2 (0.2) and The shear stiffness is given by ( ) 2 d 3 > 00 or t f 6E f t f d 2 E c t 3 c > 00). d t f > 5.77 and the shear stress (AG) eq = bd2 G c t c τ c = T x max. db 0.. Isotropic materials For an isotropic material the shear modulus G and bulk modulus K in plane elasticity (plane strain) are related to the well known Young s modulus E and Poisson s ratio ν as follows: K = E 2 ( + ν) ( 2ν), G = E 2 ( + ν). 6
7 0.2. Locally and globally orthotropic structure: Stress/strainrelation: σ C C22 C σ 22 C22 C2222 C σ 33 σ 2 = C33 C3322 C C σ C σ C Square symmetric unidirectional twophase structure: Stress/strainrelation: σ σ 22 σ 33 σ 2 σ 23 σ 3 = K + G T K G T l K G T K + G T l l l n G T, G L G L ɛ ɛ 22 ɛ 33 γ 2 γ 23 γ 3 e e 22 e 33 γ 2 γ 23 γ 3, (0.3). Effective compliance matrix: Relations: E T ν T E T ν L E L ν T ET ET ν L E L ν L EL ν L E L E L G T, G L G L 0. G T = E T 2 ( + ν T ), 4 E T = G T + K + 4 (ν L )2, EL 7
8 l = ν L2K, n = E L + 4 (ν L) 2 K, EL = p o E o + p I E I + 4(ν o ν I 2 ( ) 2 (p o + p I ), (0.4) K o K o K I K K I ν L = p o ν o + p I ν I ν o ν I K o (p o + p I ), (0.5) K I K o K I K K i = E i 2 ( + ν i ) ( 2ν i ) and G i = E i 2 ( + ν i ) ). 8
HØGSKOLEN I NARVIK  SIVILINGENIØRUTDANNINGEN EKSAMEN OG LØSNINGSFORSLAG I KURSET STE 6289 MODERNE MATERIALER OG BEREG NINGER
HØGSKOLEN I NARVIK  SIVILINGENIØRUTDANNINGEN EKSAMEN OG LØSNINGSFORSLAG I KURSET STE 689 MODERNE MATERIALER OG BEREG NINGER KLASSE: 5ID, DATO:. Desember 9 TID: 9.., 3 timer EMNESTØRRELSE: 7.5 stp. ANTALL
More informationUNIVERSITY 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 informationLevel 7 Postgraduate Diploma in Engineering Computational mechanics using finite element method
9210203 Level 7 Postgraduate Diploma in Engineering Computational mechanics using finite element method You should have the following for this examination one answer book No additional data is attached
More informationMechanical Engineering Ph.D. Preliminary Qualifying Examination Solid Mechanics February 25, 2002
student personal identification (ID) number on each sheet. Do not write your name on any sheet. #1. A homogeneous, isotropic, linear elastic bar has rectangular cross sectional area A, modulus of elasticity
More information2. Determine the deflection at C of the beam given in fig below. Use principal of virtual work. W L/2 B A L C
CE1259, Strength of Materials UNIT I STRESS, STRAIN DEFORMATION OF SOLIDS Part A 1. Define strain energy density. 2. State Maxwell s reciprocal theorem. 3. Define proof resilience. 4. State Castigliano
More informationIDE 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 informationGATE SOLUTIONS E N G I N E E R I N G
GATE SOLUTIONS C I V I L E N G I N E E R I N G From (1987018) Office : F16, (Lower Basement), Katwaria Sarai, New Delhi110016 Phone : 01165064 Mobile : 81309090, 9711853908 Email: info@iesmasterpublications.com,
More informationChapter 5 Elastic Strain, Deflection, and Stability 1. Elastic StressStrain Relationship
Chapter 5 Elastic Strain, Deflection, and Stability Elastic StressStrain Relationship A stress in the xdirection causes a strain in the xdirection by σ x also causes a strain in the ydirection & zdirection
More informationKINGS COLLEGE OF ENGINEERING DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK. Subject code/name: ME2254/STRENGTH OF MATERIALS Year/Sem:II / IV
KINGS COLLEGE OF ENGINEERING DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK Subject code/name: ME2254/STRENGTH OF MATERIALS Year/Sem:II / IV UNIT I STRESS, STRAIN DEFORMATION OF SOLIDS PART A (2 MARKS)
More informationSTRENGTH OF MATERIALSI. Unit1. Simple stresses and strains
STRENGTH OF MATERIALSI Unit1 Simple stresses and strains 1. What is the Principle of surveying 2. Define Magnetic, True & Arbitrary Meridians. 3. Mention different types of chains 4. Differentiate between
More informationUNIT III DEFLECTION OF BEAMS 1. What are the methods for finding out the slope and deflection at a section? The important methods used for finding out the slope and deflection at a section in a loaded
More informationMAAE 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 information1.050: Beam Elasticity (HW#9)
1050: Beam Elasticity (HW#9) MIT 1050 (Engineering Mechanics I) Fall 2007 Instructor: Markus J BUEHER Due: November 14, 2007 Team Building and Team Work: We strongly encourage you to form Homework teams
More informationNomenclature. Length of the panel between the supports. Width of the panel between the supports/ width of the beam
omenclature a b c f h Length of the panel between the supports Width of the panel between the supports/ width of the beam Sandwich beam/ panel core thickness Thickness of the panel face sheet Sandwich
More informationDEPARTMENT OF MECHANICAL ENIGINEERING, UNIVERSITY OF ENGINEERING & TECHNOLOGY LAHORE (KSK CAMPUS).
DEPARTMENT OF MECHANICAL ENIGINEERING, UNIVERSITY OF ENGINEERING & TECHNOLOGY LAHORE (KSK CAMPUS). Lab Director: Coordinating Staff: Mr. Muhammad Farooq (Lecturer) Mr. Liaquat Qureshi (Lab Supervisor)
More informationME 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= 50 ksi. The maximum beam deflection Δ max is not = R B. = 30 kips. Notes for Strength of Materials, ET 200
Notes for Strength of Materials, ET 00 Steel Six Easy Steps Steel beam design is about selecting the lightest steel beam that will support the load without exceeding the bending strength or shear strength
More informationISHIK UNIVERSITY DEPARTMENT OF MECHATRONICS ENGINEERING
ISHIK UNIVERSITY DEPARTMENT OF MECHATRONICS ENGINEERING QUESTION BANK FOR THE MECHANICS OF MATERIALSI 1. A rod 150 cm long and of diameter 2.0 cm is subjected to an axial pull of 20 kn. If the modulus
More informationPURE BENDING. If a simply supported beam carries two point loads of 10 kn as shown in the following figure, pure bending occurs at segment BC.
BENDING STRESS The effect of a bending moment applied to a crosssection of a beam is to induce a state of stress across that section. These stresses are known as bending stresses and they act normally
More informationUNIVERSITY OF SASKATCHEWAN ME MECHANICS OF MATERIALS I FINAL EXAM DECEMBER 20, 2011 Professor A. Dolovich
UNIVERSITY OF SASKATCHEWAN ME 313.3 MECHANICS OF MATERIALS I FINAL EXAM DECEMBER 20, 2011 Professor A. Dolovich A CLOSED BOOK EXAMINATION TIME: 3 HOURS LAST NAME (printed): FIRST NAME (printed): STUDENT
More informationComposite Structures. Indian Institute of Technology Kanpur
Mechanics of Laminated Composite Structures Nachiketa Tiwari Indian Institute of Technology Kanpur Lecture 23 Analysis of an Orthotropic Ply Lecture Overview Introduction Engineering constants for an 2
More informationBending Load & Calibration Module
Bending Load & Calibration Module Objectives After completing this module, students shall be able to: 1) Conduct laboratory work to validate beam bending stress equations. 2) Develop an understanding of
More informationLecture 4 Honeycombs Notes, 3.054
HoneycombsInplane behavior Lecture 4 Honeycombs Notes, 3.054 Prismatic cells Polymer, metal, ceramic honeycombs widely available Used for sandwich structure cores, energy absorption, carriers for catalysts
More informationSample Question Paper
Scheme I Sample Question Paper Program Name : Mechanical Engineering Program Group Program Code : AE/ME/PG/PT/FG Semester : Third Course Title : Strength of Materials Marks : 70 Time: 3 Hrs. Instructions:
More informationTABLE OF CONTENTS. Mechanics of Composite Materials, Second Edition Autar K Kaw University of South Florida, Tampa, USA
Mechanics of Composite Materials, Second Edition Autar K Kaw University of South Florida, Tampa, USA TABLE OF CONTENTS 1. INTRODUCTION TO COMPOSITE MATERIALS 1.1 Introduction... 1.2 Classification... 1.2.1
More informationME Final Exam. PROBLEM NO. 4 Part A (2 points max.) M (x) y. z (neutral axis) beam crosssec+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 11:30AM12:20PM Ghosh 2:303:20PM Gonzalez 12:301:20PM Zhao 4:305:20PM M (x) y 20 kip ft 0.2
More informationTentamen/Examination TMHL61
Avd Hållfasthetslära, IKP, Linköpings Universitet Tentamen/Examination TMHL61 Tentamen i Skademekanik och livslängdsanalys TMHL61 lördagen den 14/10 2000, kl 812 Solid Mechanics, IKP, Linköping University
More information2012 MECHANICS OF SOLIDS
R10 SET  1 II B.Tech II Semester, Regular Examinations, April 2012 MECHANICS OF SOLIDS (Com. to ME, AME, MM) Time: 3 hours Max. Marks: 75 Answer any FIVE Questions All Questions carry Equal Marks ~~~~~~~~~~~~~~~~~~~~~~
More informationModule 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 informationCOMPLEX STRESS TUTORIAL 4 THEORIES OF FAILURE. You should judge your progress by completing the self assessment exercises.
COMPLEX STRESS TUTORIAL 4 THEORIES OF FAILURE This short tutorial covers no known elements of the E.C. or Edexcel Exams but should be studied as part of complex stress, structures and materials. You should
More informationName (Print) ME Mechanics of Materials Exam # 2 Date: March 29, 2017 Time: 8:00 10:00 PM  Location: WTHR 200
Name (Print) (Last) (First) Instructions: ME 323  Mechanics of Materials Exam # 2 Date: Time: 8:00 10:00 PM  Location: WTHR 200 Circle your lecturer s name and your class meeting time. Koslowski Zhao
More informationPost Graduate Diploma in Mechanical Engineering Computational mechanics using finite element method
9210220 Post Graduate Diploma in Mechanical Engineering Computational mechanics using finite element method You should have the following for this examination one answer book scientific calculator No
More informationNational Exams May 2015
National Exams May 2015 04BS6: Mechanics of Materials 3 hours duration Notes: If doubt exists as to the interpretation of any question, the candidate is urged to submit with the answer paper a clear
More information3 Hours/100 Marks Seat No.
*17304* 17304 14115 3 Hours/100 Marks Seat No. Instructions : (1) All questions are compulsory. (2) Illustrate your answers with neat sketches wherever necessary. (3) Figures to the right indicate full
More informationUNIVERSITY OF BOLTON SCHOOL OF ENGINEERING. BEng (HONS) CIVIL ENGINEERING SEMESTER 1 EXAMINATION 2016/2017 MATHEMATICS & STRUCTURAL ANALYSIS
TW21 UNIVERSITY OF BOLTON SCHOOL OF ENGINEERING BEng (HONS) CIVIL ENGINEERING SEMESTER 1 EXAMINATION 2016/2017 MATHEMATICS & STRUCTURAL ANALYSIS MODULE NO: CIE4011 Date: Wednesday 11 th January 2017 Time:
More informationPresented By: EAS 6939 Aerospace Structural Composites
A Beam Theory for Laminated Composites and Application to Torsion Problems Dr. BhavaniV. Sankar Presented By: Sameer Luthra EAS 6939 Aerospace Structural Composites 1 Introduction Composite beams have
More informationAdvanced Structural Analysis EGF Section Properties and Bending
Advanced Structural Analysis EGF316 3. Section Properties and Bending 3.1 Loads in beams When we analyse beams, we need to consider various types of loads acting on them, for example, axial forces, shear
More information[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 informationCOURSE TITLE : THEORY OF STRUCTURES I COURSE CODE : 3013 COURSE CATEGORY : B PERIODS/WEEK : 6 PERIODS/SEMESTER: 90 CREDITS : 6
COURSE TITLE : THEORY OF STRUCTURES I COURSE CODE : 0 COURSE CATEGORY : B PERIODS/WEEK : 6 PERIODS/SEMESTER: 90 CREDITS : 6 TIME SCHEDULE Module Topics Period Moment of forces Support reactions Centre
More informationMechanics 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 informationModule III  Macromechanics of Lamina. Lecture 23. MacroMechanics of Lamina
Module III  Macromechanics of Lamina Lecture 23 MacroMechanics of Lamina For better understanding of the macromechanics of lamina, the knowledge of the material properties in essential. Therefore, the
More informationTwinning Engineering Programmes (TEP) & Thammasat English Programme of Engineering (TEPE) Faculty of Engineering, Thammasat University
" Twinning Engineering Programmes (TEP) & Thammasat English Programme of Engineering (TEPE) Faculty of Engineering, Thammasat University Undergraduate Examination 2 nd Semester of 2019 (Midterm) CE221:
More informationQUESTION 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 informationMECE 3321 MECHANICS OF SOLIDS CHAPTER 3
MECE 3321 MECHANICS OF SOLIDS CHAPTER 3 Samantha Ramirez TENSION AND COMPRESSION TESTS Tension and compression tests are used primarily to determine the relationship between σ avg and ε avg in any material.
More informationQUESTION 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 informationStresses and Strains in flexible Pavements
Stresses and Strains in flexible Pavements Multi Layered Elastic System Assumptions in Multi Layered Elastic Systems The material properties of each layer are homogeneous property at point A i is the same
More informationIntroduction to Structural Member Properties
Introduction to Structural Member Properties Structural Member Properties Moment of Inertia (I): a mathematical property of a crosssection (measured in inches 4 or in 4 ) that gives important information
More informationName :. Roll No. :... Invigilator s Signature :.. CS/B.TECH (CENEW)/SEM3/CE301/ 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 informationLab Exercise #5: Tension and Bending with Strain Gages
Lab Exercise #5: Tension and Bending with Strain Gages Prelab assignment: Yes No Goals: 1. To evaluate tension and bending stress models and Hooke s Law. a. σ = Mc/I and σ = P/A 2. To determine material
More informationCHAPTER OBJECTIVES Use various methods to determine the deflection and slope at specific pts on beams and shafts: 2. Discontinuity functions
1. Deflections of Beams and Shafts CHAPTER OBJECTIVES Use various methods to determine the deflection and slope at specific pts on beams and shafts: 1. Integration method. Discontinuity functions 3. Method
More informationA Suggested Analytical Solution for Vibration of Honeycombs Sandwich Combined Plate Structure
International Journal of Mechanical & Mechatronics Engineering IJMMEIJENS Vol:16 No:04 9 A Suggested Analytical Solution for Vibration of Honeycombs Sandwich Combined Plate Structure Muhsin J. Jweeg College
More informationIntroduction, Basic Mechanics 2
Computational Biomechanics 18 Lecture : Introduction, Basic Mechanics Ulli Simon, Lucas Engelhardt, Martin Pietsch Scientific Computing Centre Ulm, UZWR Ulm University Contents Mechanical Basics Moment
More informationLecture 1617, Sandwich Panel Notes, 3.054
Sandwich Panels Two stiff strong skins separated by a lightweight core Separation of skins by core increases moment of inertia, with little increase in weight Efficient for resisting bending and buckling
More information142. Determination of reduced mass and stiffness of flexural vibrating cantilever beam
142. Determination of reduced mass and stiffness of flexural vibrating cantilever beam Tamerlan Omarov 1, Kuralay Tulegenova 2, Yerulan Bekenov 3, Gulnara Abdraimova 4, Algazy Zhauyt 5, Muslimzhan Ibadullayev
More informationCIVIL DEPARTMENT MECHANICS OF STRUCTURES ASSIGNMENT NO 1. Brach: CE YEAR:
MECHANICS OF STRUCTURES ASSIGNMENT NO 1 SEMESTER: V 1) Find the least moment of Inertia about the centroidal axes XX and YY of an unequal angle section 125 mm 75 mm 10 mm as shown in figure 2) Determine
More informationI certify that I have not given unauthorized aid nor have I received aid in the completion of this exam.
NAME: ME 270 Fall 2012 Examination No. 3  Makeup Please review the following statement: Group No.: I certify that I have not given unauthorized aid nor have I received aid in the completion of this exam.
More informationCHAPTER THREE SYMMETRIC BENDING OF CIRCLE PLATES
CHAPTER THREE SYMMETRIC BENDING OF CIRCLE PLATES * Governing equations in beam and plate bending ** Solution by superposition 1.1 From Beam Bending to Plate Bending 1.2 Governing Equations For Symmetric
More informationUNIT 1 STRESS STRAIN AND DEFORMATION OF SOLIDS, STATES OF STRESS 1. Define stress. When an external force acts on a body, it undergoes deformation.
UNIT 1 STRESS STRAIN AND DEFORMATION OF SOLIDS, STATES OF STRESS 1. Define stress. When an external force acts on a body, it undergoes deformation. At the same time the body resists deformation. The magnitude
More informationME 323 Examination #2 April 11, 2018
ME 2 Eamination #2 April, 2 PROBLEM NO. 25 points ma. A thinwalled pressure vessel is fabricated b welding together two, openended stainlesssteel vessels along a 6 weld line. The welded vessel has an
More informationQUESTION BANK ENGINEERS ACADEMY. PL 4Ed d. Ed d. 4PL Ed d. 4Ed d. 42 Axially Loaded Members Junior Engineer
NGINRS CDMY xially oaded Members Junior ngineer QUSTION BNK 1. The stretch in a steel rod of circular section, having a length subjected to a tensile load P and tapering uniformly from a diameter d 1 at
More informationN = Shear stress / Shear strain
UNIT  I 1. What is meant by factor of safety? [A/M15] It is the ratio between ultimate stress to the working stress. Factor of safety = Ultimate stress Permissible stress 2. Define Resilience. [A/M15]
More informationAN EFFECTIVE SOLUTION OF THE COMPOSITE (FGM S) BEAM STRUCTURES
Engineering MECHANICS, Vol. 15, 2008, No. 2, p. 115 132 115 AN EFFECTIVE SOLUTION OF THE COMPOSITE (FGM S) BEAM STRUCTURES Justín Murín, Vladimír Kutiš* The additive mixture rules have been extended for
More informationUNITI 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
UNITI 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 informationEMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 2 Stress & Strain  Axial Loading
MA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 2 Stress & Strain  Axial Loading MA 3702 Mechanics & Materials Science Zhe Cheng (2018) 2 Stress & Strain  Axial Loading Statics
More informationCIV 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 informationOptimal Shape and Topology of Structure Searched by Ants Foraging Behavior
ISSN 03861678 Report of the Research Institute of Industrial Technology, Nihon University Number 83, 2006 Optimal Shape and Topology of Structure Searched by Ants Foraging Behavior Kazuo MITSUI* ( Received
More informationDESIGN OF BEAMS AND SHAFTS
DESIGN OF EAMS AND SHAFTS! asis for eam Design! Stress Variations Throughout a Prismatic eam! Design of pristmatic beams! Steel beams! Wooden beams! Design of Shaft! ombined bending! Torsion 1 asis for
More informationName (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 informationEffect of Specimen Dimensions on Flexural Modulus in a 3Point Bending Test
Effect of Specimen Dimensions on Flexural Modulus in a 3Point Bending Test M. Praveen Kumar 1 and V. Balakrishna Murthy 2* 1 Mechanical Engineering Department, P.V.P. Siddhartha Institute of Technology,
More informationSSCJE MAINS ONLINE TEST SERIES / CIVIL ENGINEERING SOM + TOS
SSCJE MAINS ONLINE TEST SERIES / CIVIL ENGINEERING SOM + TOS Time Allowed:2 Hours Maximum Marks: 300 Attention: 1. Paper consists of Part A (Civil & Structural) Part B (Electrical) and Part C (Mechanical)
More informationChapter 7. Highlights:
Chapter 7 Highlights: 1. Understand the basic concepts of engineering stress and strain, yield strength, tensile strength, Young's(elastic) modulus, ductility, toughness, resilience, true stress and true
More informationCOURSE 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 informationMATERIAL MECHANICS, SE2126 COMPUTER LAB 3 VISCOELASTICITY. k a. N t
MATERIAL MECHANICS, SE2126 COMPUTER LAB 3 VISCOELASTICITY N t i Gt () G0 1 i ( 1 e τ = α ) i= 1 k a k b τ PART A RELAXING PLASTIC PAPERCLIP Consider an ordinary paperclip made of plastic, as they more
More informationDue Monday, September 14 th, 12:00 midnight
Due Monday, September 14 th, 1: midnight This homework is considering the analysis of plane and space (3D) trusses as discussed in class. A list of MatLab programs that were discussed in class is provided
More informationComparison of Plywise StressStrain results for graphite/epoxy laminated plate subjected to inplane normal loads using CLT and ANSYS ACP PrepPost
Comparison of Plywise StressStrain results for graphite/epoxy laminated plate subjected to inplane normal loads using CLT and ANSYS ACP PrepPost 1 Mihir A. Mehta, 2 Satyen D. Ramani 1 PG Student, Department
More informationMechanics of Structure
S.Y. Diploma : Sem. III [CE/CS/CR/CV] Mechanics of Structure Time: Hrs.] Prelim Question Paper Solution [Marks : 70 Q.1(a) Attempt any SIX of the following. [1] Q.1(a) Define moment of Inertia. State MI
More informationCO~RSEOUTL..INE. revisedjune 1981 by G. Frech. of..a.pqij~t(..~ttsa.fidteconol.q.gy. Sault ",Ste'...:M~ri,e.: SAUl. ir.ft\,nl~t';~l' G ". E b:.
/ 1/ /.. SAUl. ir.ft\,nl~t';~l' G ". E b:.~~~~~, of..a.pqij~t(..~ttsa.fidteconol.q.gy. Sault ",Ste'...:M~ri,e.: ',' .\'~. ~ ;:T.., CO~RSEOUTL..INE ARCHITECTURAL ENGINEERING II ARC 2004 revisedjune 1981
More informationSRI CHANDRASEKHARENDRA SARASWATHI VISWA MAHAVIDHYALAYA
SRI CHANDRASEKHARENDRA SARASWATHI VISWA MAHAVIDHYALAYA (Declared as Deemedtobe University under Section 3 of the UGC Act, 1956, Vide notification No.F.9.9/92U3 dated 26 th May 1993 of the Govt. of
More informationApplication of Finite Element Method to Create Animated Simulation of Beam Analysis for the Course of Mechanics of Materials
International Conference on Engineering Education and Research "Progress Through Partnership" 4 VSBTUO, Ostrava, ISSN 15635 Application of Finite Element Method to Create Animated Simulation of Beam
More informationIndentation Energy in Bending of Sandwich Beams with Composite Laminated Faces and Foam Core
Indentation Energy in Bending of Sandwich Beams with Composite Laminated Faces and Foam Core M. SADIGHI, H. POURIAYEVALI, and M. SAADATI Dept. of Mechanical Engineering, Amirkabir University of Tech, Tehran,
More information8 Deflectionmax. = 5WL 3 384EI
8 max. = 5WL 3 384EI 1 salesinfo@mechanicalsupport.co.nz PO Box 204336 Highbrook Auckland www.mechanicalsupport.co.nz 2 Engineering Data  s and Columns Structural Data 1. Properties properties have been
More informationChapter 2  Macromechanical Analysis of a Lamina. Exercise Set. 2.1 The number of independent elastic constants in three dimensions are: 2.
Chapter  Macromechanical Analysis of a Lamina Exercise Set. The number of independent elastic constants in three dimensions are: Anisotropic Monoclinic 3 Orthotropic 9 Transversely Orthotropic 5 Isotropic.
More information: APPLIED MECHANICS & STRENGTH OF MATERIALS COURSE CODE : 4021 COURSE CATEGORY : A PERIODS/ WEEK : 5 PERIODS/ SEMESTER : 75 CREDIT : 5 TIME SCHEDULE
COURSE TITLE : APPLIED MECHANICS & STRENGTH OF MATERIALS COURSE CODE : 4021 COURSE CATEGORY : A PERIODS/ WEEK : 5 PERIODS/ SEMESTER : 75 CREDIT : 5 TIME SCHEDULE MODULE TOPIC PERIODS 1 Simple stresses
More informationTensile stress strain curves for different materials. Shows in figure below
Tensile stress strain curves for different materials. Shows in figure below Furthermore, the modulus of elasticity of several materials effected by increasing temperature, as is shown in Figure Asst. Lecturer
More informationBENCHMARK LINEAR FINITE ELEMENT ANALYSIS OF LATERALLY LOADED SINGLE PILE USING OPENSEES & COMPARISON WITH ANALYTICAL SOLUTION
BENCHMARK LINEAR FINITE ELEMENT ANALYSIS OF LATERALLY LOADED SINGLE PILE USING OPENSEES & COMPARISON WITH ANALYTICAL SOLUTION Ahmed Elgamal and Jinchi Lu October 07 Introduction In this study: I) The response
More informationDesign Aid for Unstiffened Triangular Steel Brackets based on Elastic Stability
Design Aid for Unstiffened Triangular Steel Brackets based on Elastic Stability K. Sai Vivek * and K. Siva Kiran Department of Civil Engineering, Kallam Haranadhareddy Institute of Technology, Chowdavaram,
More informationHomework No. 1 MAE/CE 459/559 John A. Gilbert, Ph.D. Fall 2004
Homework No. 1 MAE/CE 459/559 John A. Gilbert, Ph.D. 1. A beam is loaded as shown. The dimensions of the cross section appear in the insert. the figure. Draw a complete free body diagram showing an equivalent
More informationFinite Element Method in Geotechnical Engineering
Finite Element Method in Geotechnical Engineering Short Course on + Dynamics Boulder, Colorado January 58, 2004 Stein Sture Professor of Civil Engineering University of Colorado at Boulder Contents Steps
More informationExperimental Lab. Principles of Superposition
Experimental Lab Principles of Superposition Objective: The objective of this lab is to demonstrate and validate the principle of superposition using both an experimental lab and theory. For this lab you
More informationOUTCOME 1  TUTORIAL 3 BENDING MOMENTS. You should judge your progress by completing the self assessment exercises. CONTENTS
Unit 2: Unit code: QCF Level: 4 Credit value: 15 Engineering Science L/601/1404 OUTCOME 1  TUTORIAL 3 BENDING MOMENTS 1. Be able to determine the behavioural characteristics of elements of static engineering
More informationChapter 3. Load and Stress Analysis. Lecture Slides
Lecture Slides Chapter 3 Load and Stress Analysis 2015 by McGraw Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner.
More informationCITY AND GUILDS 9210 UNIT 135 MECHANICS OF SOLIDS Level 6 TUTORIAL 5A  MOMENT DISTRIBUTION METHOD
Outcome 1 The learner can: CITY AND GUIDS 910 UNIT 15 ECHANICS OF SOIDS evel 6 TUTORIA 5A  OENT DISTRIBUTION ETHOD Calculate stresses, strain and deflections in a range of components under various load
More informationOptimum Height of Plate Stiffener under Pressure Effect
The st Regional Conference of Eng. Sci. NUCEJ Spatial ISSUE vol., No.3, 8 pp 459468 Optimum Height of Plate Stiffener under Pressure Effect Mazin Victor Yousif M.Sc Production Engineering University of
More informationChapter Two: Mechanical Properties of materials
Chapter Two: Mechanical Properties of materials Time : 16 Hours An important consideration in the choice of a material is the way it behave when subjected to force. The mechanical properties of a material
More informationNumerical and experimental analysis of a cantilever beam: A laboratory project to introduce geometric nonlinearity in Mechanics of Materials
Numerical and experimental analysis of a cantilever beam: A laboratory project to introduce geometric nonlinearity in Mechanics of Materials Tarsicio Beléndez (1) and Augusto Beléndez (2) (1) Departamento
More informationTwo Tier projects for students in ME 160 class
ME 160 Introduction to Finite Element Method Spring 2016 Topics for Term Projects by Teams of 2 Students Instructor: Tai Ran Hsu, Professor, Dept. of Mechanical engineering, San Jose State University,
More informationAim of the study Experimental determination of mechanical parameters Local buckling (wrinkling) Failure maps Optimization of sandwich panels
METNET Workshop October 1112, 2009, Poznań, Poland Experimental and numerical analysis of sandwich metal panels Zbigniew Pozorski, Monika ChudaKowalska, Robert Studziński, Andrzej Garstecki Poznan University
More informationUnified Quiz M4 May 7, 2008 M  PORTION
9:0010: 00 (last four digits) 32141 Unified Quiz M4 May 7, 2008 M  PORTION Put the last four digits of your MIT ID # on each page of the exam. Read all questions carefully. Do all work on that question
More informationME 475 Modal Analysis of a Tapered Beam
ME 475 Modal Analysis of a Tapered Beam Objectives: 1. To find the natural frequencies and mode shapes of a tapered beam using FEA.. To compare the FE solution to analytical solutions of the vibratory
More information