UNIVERSITY OF BOLTON SCHOOL OF ENGINEERING. BEng (HONS) CIVIL ENGINEERING SEMESTER 1 EXAMINATION 2016/2017 MATHEMATICS & STRUCTURAL ANALYSIS

Size: px
Start display at page:

Download "UNIVERSITY OF BOLTON SCHOOL OF ENGINEERING. BEng (HONS) CIVIL ENGINEERING SEMESTER 1 EXAMINATION 2016/2017 MATHEMATICS & STRUCTURAL ANALYSIS"

Transcription

1 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: 10:00 am 1:00 pm INSTRUCTIONS TO CANDIDATES: There are FIVE questions. Answer ALL FIVE questions. Marks for parts of questions are shown in brackets. This examination paper carries a total of 100 marks. Supplementary formulae sheet is provided on page 8 at the rear of the question paper. Lined Graph Paper is available for use. All working must be shown. A numerical solution to a question obtained by programming an electronic calculator will not be accepted.

2 Page 2 of 9 SECTION A: STRUCTURAL ANALYSIS Question 1 (a) Figure Q1 (a) shows a simply supported beam with a pin support at A, and a roller support at D. The beam is carrying one vertical point load at C, and a uniform distributed load (UDL) between B and C. (i) Calculate and state the support reactions at A and D. (2 marks) (ii) Daw the Shear Force and Bending Moment Diagrams, showing important values along the beam and state the value of the maximum bending moment and its position along the beam. (8 marks) 40 kn/m 20 kn A 2m B C D 3m 3m 8m Figure Q1 (a) (b) For the pin jointed structure shown in Figure Q1 (b): (i) Calculate and state the support reactions at A and E. (3 marks) (ii) Calculate the axial forces in members AC, CE, and ED and state whether each axial force is in tension or compression. (7 marks) B C 45 0 D 60 kn 4 m A E 4m 4m Figure Q1 (b) Total 20 marks

3 Page 3 of 9 School of Engineering Please turn the page

4 Question 2 Page 4 of 9 80mm 50mm 15mm 140mm 25mm 200mm Figure Q2 (i) Figure Q2 (i) shows a cross-section of an asymmetrical steel beam. a) Determine the position of the horizontal neutral axis of the beam. (6 marks) b) What is the value of the second moment of area I about the horizontal neutral axis of the beam section? (9 marks) Question 2 continued over the page

5 Question 2 continued Page 5 of 9 100mm A 40mm 25mm 250mm B 5 3.5m Figure Q2 (ii) Section through cantilever tee beam Figure Q2 (iii) Elevation on cantilever tee beam Figure Q2 (ii) shows a cross-section of a different asymmetrical cast iron tee beam with a cantilever span of 3.5m; also see elevation in Figure Q2 (iii). The allowable bending stresses in the tee beam are shown in the table below: Maximum stress (N/mm 2 ) Tension 23 Compression 105 The geometrical properties of the tee beam are shown in the table below: Distance of the horizontal neutral axis of the tee beam above mm the bottom of the section Second moment of area (I) 8437 cm 4 c) What is the maximum force A that can be applied vertically downward to the cantilever tee beam without exceeding the allowable bending stress in the tee beam (ignore force B)? (9 marks) d) What is the maximum force B that can be applied vertically upward to the cantilever tee beam without exceeding the allowable bending stress in the tee beam (ignore force A)? (6 marks) END OF SECTION A Total 30 marks

6 Page 6 of 9 Question 3 SECTION B: MATHEMATICS (a) The maximum deflection of a cantilever beam under uniformly varying load is given by: y = wl4 8EI (i) Rearrange the equation by transposition to find an expression for w. (2 marks) (ii) If the deflection of the beam (y) is limited to 13 mm, the elastic modulus (E) is 200 kn/mm 2, the second moment of area (I) is 2356 cm 4 and the length of the beam (L) is 3.0 m, what is the magnitude of the distributed load (w) in (kn/m)? (6 marks) (b) A heating installation for one house consists of 6 radiators and 7 convertor heaters and the cost, including labour, is In a second house 5 radiators and 6 convertor heaters are used and the cost, including labour, is In each house the installation costs are 450. Find the cost of a radiator and the cost of a convertor heater. (6 marks) (c) Figure Q3c shows a template whose area is cm 2. Find the value of r. Figure Q3(c) r 60 cm (6 marks) Total 20 marks Please turn the page

7 f(x) School of Engineering Question 4 Page 7 of 9 A function can be expressed by the following equation: f(x) = 12 + x 2 6x With the same function being graphically represented in Figure Q x Figure Q4 (a) Find the approximate area enclosed by the function, the x-axis, and the ordinates at x = 0 and x = 4, using: (i) Trapezoidal rule (4 strips) (4 marks) (ii) Simpson s rule (4 strips) (4 marks) (iii) Simpson s rule (8 strips) (5 marks) (b) Compare your answers and comment on your findings. (2 marks) Total 15 marks Please turn the page

8 Question 5 Page 8 of 9 A round steel specimen, as shown in Figure Q5, is loaded in tension in compliance with BS EN ISO 377:2013. From the test data, the stress-strain relationship of this elastic material is given in Table Q5. Table Q5 Figure Q5 Strain (x 10-5 ) Stress (N/mm 2 ) (a) Using the graph paper provided, plot stress versus strain on an appropriately scaled axis. (4 marks) (b) Draw an appropriate trend-line through the points. (4 marks) (c) Use the plot (a) to generate the linear function for the data set. (4 marks) (d) Using the function from (c), give a value for the elastic modulus of steel. (3 marks) Total 15 marks END OF EXAM Please turn the page (for Supplementary Formulae Sheets)

9 Page 9 of 9 Formula sheet for structural analysis Simply supported and cantilever beams Typical units Mmax (knm) Rsupport (kn) Deflectionmax (mm) Simply supported beam length L Point load P at centre PL 4 P 2 PL 3 48EI Simply supported beam length L UDL w along full length wl 2 8 wl 2 5wL 4 384EI Cantilever beam length L Point load P at tip PL P PL 3 3EI Cantilever beam length L UDL w along full length wl 2 2 wl wl 4 8EI Shape properties Typical units Rectangle with side lengths b and h Area A (mm 2 ) Elastic section modulus Wel (mm 3 ) bh bh 2 6 Plastic section modulus Wpl (mm 3 ) bh 2 4 2nd moment of area I (mm 4 ) bh 3 12 Stresses Bending stress = My I Bending stress = M S Bending stress = M z Radius of gyration = I A Axial stress = P A Average shear stress = V A Complex shapes Centroid Parallel axes theorem x = x ia i A i and y = y ia i A i I xx = (I 0 + Ay 2 )

10 Page 10 of 9 Formulae sheet

UNIT 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 information

PURE 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.

PURE 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 cross-section 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 information

2012 MECHANICS OF SOLIDS

2012 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 information

PERIYAR CENTENARY POLYTECHNIC COLLEGE PERIYAR NAGAR - VALLAM THANJAVUR. DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK

PERIYAR CENTENARY POLYTECHNIC COLLEGE PERIYAR NAGAR - VALLAM THANJAVUR. DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK PERIYAR CENTENARY POLYTECHNIC COLLEGE PERIYAR NAGAR - VALLAM - 613 403 - THANJAVUR. DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK Sub : Strength of Materials Year / Sem: II / III Sub Code : MEB 310

More information

Level 7 Postgraduate Diploma in Engineering Computational mechanics using finite element method

Level 7 Postgraduate Diploma in Engineering Computational mechanics using finite element method 9210-203 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 information

Homework 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. 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 information

CHAPTER 4. Stresses in Beams

CHAPTER 4. Stresses in Beams CHAPTER 4 Stresses in Beams Problem 1. A rolled steel joint (RSJ) of -section has top and bottom flanges 150 mm 5 mm and web of size 00 mm 1 mm. t is used as a simply supported beam over a span of 4 m

More information

Downloaded from Downloaded from / 1

Downloaded from   Downloaded from   / 1 PURWANCHAL UNIVERSITY III SEMESTER FINAL EXAMINATION-2002 LEVEL : B. E. (Civil) SUBJECT: BEG256CI, Strength of Material Full Marks: 80 TIME: 03:00 hrs Pass marks: 32 Candidates are required to give their

More information

UNIVERSITY OF BOLTON WESTERN INTERNATIONAL COLLEGE FZE BENG (HONS) CIVIL ENGINEERING SEMESTER ONE EXAMINATION 2015/2016

UNIVERSITY OF BOLTON WESTERN INTERNATIONAL COLLEGE FZE BENG (HONS) CIVIL ENGINEERING SEMESTER ONE EXAMINATION 2015/2016 OCD62 UNIVERSITY OF BOLTON WESTERN INTERNATIONAL COLLEGE FZE BENG (HONS) CIVIL ENGINEERING SEMESTER ONE EXAMINATION 2015/2016 ENGINEERING MATHEMATICS AND STRUCTURES MODULE NO. CIE5004 Date: Thursday 14

More information

Sample Question Paper

Sample 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 information

CIVIL DEPARTMENT MECHANICS OF STRUCTURES- ASSIGNMENT NO 1. Brach: CE YEAR:

CIVIL 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 X-X and Y-Y of an unequal angle section 125 mm 75 mm 10 mm as shown in figure 2) Determine

More information

OUTCOME 1 - TUTORIAL 3 BENDING MOMENTS. You should judge your progress by completing the self assessment exercises. CONTENTS

OUTCOME 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 information

Name (Print) ME Mechanics of Materials Exam # 2 Date: March 29, 2017 Time: 8:00 10:00 PM - Location: WTHR 200

Name (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 information

Engineering Science OUTCOME 1 - TUTORIAL 4 COLUMNS

Engineering Science OUTCOME 1 - TUTORIAL 4 COLUMNS Unit 2: Unit code: QCF Level: Credit value: 15 Engineering Science L/601/10 OUTCOME 1 - TUTORIAL COLUMNS 1. Be able to determine the behavioural characteristics of elements of static engineering systems

More information

P.E. Civil Exam Review:

P.E. Civil Exam Review: P.E. Civil Exam Review: Structural Analysis J.P. Mohsen Email: jpm@louisville.edu Structures Determinate Indeterminate STATICALLY DETERMINATE STATICALLY INDETERMINATE Stability and Determinacy of Trusses

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

= 50 ksi. The maximum beam deflection Δ max is not = R B. = 30 kips. Notes for Strength of Materials, ET 200

= 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 information

Mechanics of Structure

Mechanics 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 information

2. Determine the deflection at C of the beam given in fig below. Use principal of virtual work. W L/2 B A L C

2. Determine the deflection at C of the beam given in fig below. Use principal of virtual work. W L/2 B A L C CE-1259, 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 information

CH. 4 BEAMS & COLUMNS

CH. 4 BEAMS & COLUMNS CH. 4 BEAMS & COLUMNS BEAMS Beams Basic theory of bending: internal resisting moment at any point in a beam must equal the bending moments produced by the external loads on the beam Rx = Cc + Tt - If the

More information

Reg. No. : Question Paper Code : B.Arch. DEGREE EXAMINATION, APRIL/MAY Second Semester AR 6201 MECHANICS OF STRUCTURES I

Reg. No. : Question Paper Code : B.Arch. DEGREE EXAMINATION, APRIL/MAY Second Semester AR 6201 MECHANICS OF STRUCTURES I WK 4 Reg. No. : Question Paper Code : 71387 B.Arch. DEGREE EXAMINATION, APRIL/MAY 2017. Second Semester AR 6201 MECHANICS OF STRUCTURES I (Regulations 2013) Time : Three hours Maximum : 100 marks Answer

More information

FIXED BEAMS IN BENDING

FIXED BEAMS IN BENDING FIXED BEAMS IN BENDING INTRODUCTION Fixed or built-in beams are commonly used in building construction because they possess high rigidity in comparison to simply supported beams. When a simply supported

More information

DEPARTMENT OF CIVIL ENGINEERING

DEPARTMENT OF CIVIL ENGINEERING KINGS COLLEGE OF ENGINEERING DEPARTMENT OF CIVIL ENGINEERING SUBJECT: CE 2252 STRENGTH OF MATERIALS UNIT: I ENERGY METHODS 1. Define: Strain Energy When an elastic body is under the action of external

More information

BEAM A horizontal or inclined structural member that is designed to resist forces acting to its axis is called a beam

BEAM A horizontal or inclined structural member that is designed to resist forces acting to its axis is called a beam BEM horizontal or inclined structural member that is designed to resist forces acting to its axis is called a beam INTERNL FORCES IN BEM Whether or not a beam will break, depend on the internal resistances

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

CIV100 Mechanics. Module 5: Internal Forces and Design. by: Jinyue Zhang. By the end of this Module you should be able to:

CIV100 Mechanics. Module 5: Internal Forces and Design. by: Jinyue Zhang. By the end of this Module you should be able to: CIV100 Mechanics Module 5: Internal Forces and Design by: Jinyue Zhang Module Objective By the end of this Module you should be able to: Find internal forces of any structural members Understand how Shear

More information

Structural Mechanics Column Behaviour

Structural Mechanics Column Behaviour Structural Mechanics Column Behaviour 008/9 Dr. Colin Caprani, 1 Contents 1. Introduction... 3 1.1 Background... 3 1. Stability of Equilibrium... 4. Buckling Solutions... 6.1 Introduction... 6. Pinned-Pinned

More information

ISHIK UNIVERSITY DEPARTMENT OF MECHATRONICS ENGINEERING

ISHIK UNIVERSITY DEPARTMENT OF MECHATRONICS ENGINEERING ISHIK UNIVERSITY DEPARTMENT OF MECHATRONICS ENGINEERING QUESTION BANK FOR THE MECHANICS OF MATERIALS-I 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 information

Advanced Structural Analysis EGF Section Properties and Bending

Advanced 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

National Exams May 2015

National Exams May 2015 National Exams May 2015 04-BS-6: 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 information

JUT!SI I I I TO BE RETURNED AT THE END OF EXAMINATION. THIS PAPER MUST NOT BE REMOVED FROM THE EXAM CENTRE. SURNAME: FIRST NAME: STUDENT NUMBER:

JUT!SI I I I TO BE RETURNED AT THE END OF EXAMINATION. THIS PAPER MUST NOT BE REMOVED FROM THE EXAM CENTRE. SURNAME: FIRST NAME: STUDENT NUMBER: JUT!SI I I I TO BE RETURNED AT THE END OF EXAMINATION. THIS PAPER MUST NOT BE REMOVED FROM THE EXAM CENTRE. SURNAME: FIRST NAME: STUDENT NUMBER: COURSE: Tutor's name: Tutorial class day & time: SPRING

More information

Shear Force V: Positive shear tends to rotate the segment clockwise.

Shear Force V: Positive shear tends to rotate the segment clockwise. INTERNL FORCES IN EM efore a structural element can be designed, it is necessary to determine the internal forces that act within the element. The internal forces for a beam section will consist of a shear

More information

mportant nstructions to examiners: ) The answers should be examined by key words and not as word-to-word as given in the model answer scheme. ) The model answer and the answer written by candidate may

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

SRI VIDYA COLLEGE OF ENGINEERING AND TECHNOLOGY, VIRUDHUNAGAR CE 6602 STRUCTURAL ANALYSIS - II DEPARTMENT OF CIVIL ENGINEERING CE 6501 STRUCTURAL ANALYSIS - I 2 MARK QUESTION BANK UNIT II - INFLUENCE LINES

More information

By Dr. Mohammed Ramidh

By Dr. Mohammed Ramidh Engineering Materials Design Lecture.6 the design of beams By Dr. Mohammed Ramidh 6.1 INTRODUCTION Finding the shear forces and bending moments is an essential step in the design of any beam. we usually

More information

Unit II Shear and Bending in Beams

Unit II Shear and Bending in Beams Unit II Shear and Bending in Beams Syllabus: Beams and Bending- Types of loads, supports - Shear Force and Bending Moment Diagrams for statically determinate beam with concentrated load, UDL, uniformly

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

Deflection of Flexural Members - Macaulay s Method 3rd Year Structural Engineering

Deflection of Flexural Members - Macaulay s Method 3rd Year Structural Engineering Deflection of Flexural Members - Macaulay s Method 3rd Year Structural Engineering 009/10 Dr. Colin Caprani 1 Contents 1. Introduction... 4 1.1 General... 4 1. Background... 5 1.3 Discontinuity Functions...

More information

STRENGTH OF MATERIALS-I. Unit-1. Simple stresses and strains

STRENGTH OF MATERIALS-I. Unit-1. Simple stresses and strains STRENGTH OF MATERIALS-I Unit-1 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 information

ENGINEERING COUNCIL DIPLOMA LEVEL MECHANICS OF SOLIDS D209 TUTORIAL 3 - SHEAR FORCE AND BENDING MOMENTS IN BEAMS

ENGINEERING COUNCIL DIPLOMA LEVEL MECHANICS OF SOLIDS D209 TUTORIAL 3 - SHEAR FORCE AND BENDING MOMENTS IN BEAMS ENGINEERING COUNCIL DIPLOMA LEVEL MECHANICS OF SOLIDS D209 TUTORIAL 3 - SHEAR FORCE AND BENDING MOMENTS IN BEAMS You should judge your progress by completing the self assessment exercises. On completion

More information

BE Semester- I ( ) Question Bank (MECHANICS OF SOLIDS)

BE Semester- I ( ) Question Bank (MECHANICS OF SOLIDS) BE Semester- I ( ) Question Bank (MECHANICS OF SOLIDS) All questions carry equal marks(10 marks) Q.1 (a) Write the SI units of following quantities and also mention whether it is scalar or vector: (i)

More information

Chapter 7: Internal Forces

Chapter 7: Internal Forces Chapter 7: Internal Forces Chapter Objectives To show how to use the method of sections for determining the internal loadings in a member. To generalize this procedure by formulating equations that can

More information

Design of Steel Structures Prof. S.R.Satish Kumar and Prof. A.R.Santha Kumar

Design of Steel Structures Prof. S.R.Satish Kumar and Prof. A.R.Santha Kumar 5.10 Examples 5.10.1 Analysis of effective section under compression To illustrate the evaluation of reduced section properties of a section under axial compression. Section: 00 x 80 x 5 x 4.0 mm Using

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

8 Deflectionmax. = 5WL 3 384EI

8 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 information

CE6306 STRENGTH OF MATERIALS TWO MARK QUESTIONS WITH ANSWERS ACADEMIC YEAR

CE6306 STRENGTH OF MATERIALS TWO MARK QUESTIONS WITH ANSWERS ACADEMIC YEAR CE6306 STRENGTH OF MATERIALS TWO MARK QUESTIONS WITH ANSWERS ACADEMIC YEAR 2014-2015 UNIT - 1 STRESS, STRAIN AND DEFORMATION OF SOLIDS PART- A 1. Define tensile stress and tensile strain. The stress induced

More information

Properties of Sections

Properties of Sections ARCH 314 Structures I Test Primer Questions Dr.-Ing. Peter von Buelow Properties of Sections 1. Select all that apply to the characteristics of the Center of Gravity: A) 1. The point about which the body

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

ENGINEERING SCIENCE H1 OUTCOME 1 - TUTORIAL 4 COLUMNS EDEXCEL HNC/D ENGINEERING SCIENCE LEVEL 4 H1 FORMERLY UNIT 21718P

ENGINEERING SCIENCE H1 OUTCOME 1 - TUTORIAL 4 COLUMNS EDEXCEL HNC/D ENGINEERING SCIENCE LEVEL 4 H1 FORMERLY UNIT 21718P ENGINEERING SCIENCE H1 OUTCOME 1 - TUTORIAL COLUMNS EDEXCEL HNC/D ENGINEERING SCIENCE LEVEL H1 FORMERLY UNIT 21718P This material is duplicated in the Mechanical Principles module H2 and those studying

More information

Purpose of this Guide: To thoroughly prepare students for the exact types of problems that will be on Exam 3.

Purpose of this Guide: To thoroughly prepare students for the exact types of problems that will be on Exam 3. ES230 STRENGTH OF MTERILS Exam 3 Study Guide Exam 3: Wednesday, March 8 th in-class Updated 3/3/17 Purpose of this Guide: To thoroughly prepare students for the exact types of problems that will be on

More information

Sub. Code:

Sub. Code: Important Instructions to examiners: ) The answers should be examined by key words and not as word-to-word as given in the model answer scheme. ) The model answer and the answer written by candidate may

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

7.4 The Elementary Beam Theory

7.4 The Elementary Beam Theory 7.4 The Elementary Beam Theory In this section, problems involving long and slender beams are addressed. s with pressure vessels, the geometry of the beam, and the specific type of loading which will be

More information

Stress Analysis Lecture 4 ME 276 Spring Dr./ Ahmed Mohamed Nagib Elmekawy

Stress Analysis Lecture 4 ME 276 Spring Dr./ Ahmed Mohamed Nagib Elmekawy Stress Analysis Lecture 4 ME 76 Spring 017-018 Dr./ Ahmed Mohamed Nagib Elmekawy Shear and Moment Diagrams Beam Sign Convention The positive directions are as follows: The internal shear force causes a

More information

SSC-JE MAINS ONLINE TEST SERIES / CIVIL ENGINEERING SOM + TOS

SSC-JE MAINS ONLINE TEST SERIES / CIVIL ENGINEERING SOM + TOS SSC-JE 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 information

Bending Stress. Sign convention. Centroid of an area

Bending Stress. Sign convention. Centroid of an area Bending Stress Sign convention The positive shear force and bending moments are as shown in the figure. Centroid of an area Figure 40: Sign convention followed. If the area can be divided into n parts

More information

Deflection of Flexural Members - Macaulay s Method 3rd Year Structural Engineering

Deflection of Flexural Members - Macaulay s Method 3rd Year Structural Engineering Deflection of Flexural Members - Macaulay s Method 3rd Year Structural Engineering 008/9 Dr. Colin Caprani 1 Contents 1. Introduction... 3 1.1 General... 3 1. Background... 4 1.3 Discontinuity Functions...

More information

Using the finite element method of structural analysis, determine displacements at nodes 1 and 2.

Using the finite element method of structural analysis, determine displacements at nodes 1 and 2. Question 1 A pin-jointed plane frame, shown in Figure Q1, is fixed to rigid supports at nodes and 4 to prevent their nodal displacements. The frame is loaded at nodes 1 and by a horizontal and a vertical

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

Unit Workbook 1 Level 4 ENG U8 Mechanical Principles 2018 UniCourse Ltd. All Rights Reserved. Sample

Unit Workbook 1 Level 4 ENG U8 Mechanical Principles 2018 UniCourse Ltd. All Rights Reserved. Sample Pearson BTEC Levels 4 Higher Nationals in Engineering (RQF) Unit 8: Mechanical Principles Unit Workbook 1 in a series of 4 for this unit Learning Outcome 1 Static Mechanical Systems Page 1 of 23 1.1 Shafts

More information

,. 'UTIS. . i. Univcnity of Technology, Sydney TO BE RETURNED AT THE END OF EXAMINATION. THIS PAPER MUST NOT BE REMOVED FROM THE EXAM CENTRE.

,. 'UTIS. . i. Univcnity of Technology, Sydney TO BE RETURNED AT THE END OF EXAMINATION. THIS PAPER MUST NOT BE REMOVED FROM THE EXAM CENTRE. ,. 'UTIS. i,i I Univcnity of Technology, Sydney TO BE RETURNED AT THE END OF EXAMINATION. THIS PAPER MUST NOT BE REMOVED FROM THE EXAM CENTRE. SURNAME: FIRST NAME: STUDENT NUMBER: COURSE: Tutor's name:

More information

Chapter 2: Deflections of Structures

Chapter 2: Deflections of Structures Chapter 2: Deflections of Structures Fig. 4.1. (Fig. 2.1.) ASTU, Dept. of C Eng., Prepared by: Melkamu E. Page 1 (2.1) (4.1) (2.2) Fig.4.2 Fig.2.2 ASTU, Dept. of C Eng., Prepared by: Melkamu E. Page 2

More information

Physics 8 Monday, November 20, 2017

Physics 8 Monday, November 20, 2017 Physics 8 Monday, November 20, 2017 Pick up HW11 handout, due Dec 1 (Friday next week). This week, you re skimming/reading O/K ch8, which goes into more detail on beams. Since many people will be traveling

More information

BOOK OF COURSE WORKS ON STRENGTH OF MATERIALS FOR THE 2 ND YEAR STUDENTS OF THE UACEG

BOOK OF COURSE WORKS ON STRENGTH OF MATERIALS FOR THE 2 ND YEAR STUDENTS OF THE UACEG BOOK OF COURSE WORKS ON STRENGTH OF MATERIALS FOR THE ND YEAR STUDENTS OF THE UACEG Assoc.Prof. Dr. Svetlana Lilkova-Markova, Chief. Assist. Prof. Dimitar Lolov Sofia, 011 STRENGTH OF MATERIALS GENERAL

More information

ASSOCIATE DEGREE IN ENGINEERING EXAMINATIONS SEMESTER /13

ASSOCIATE DEGREE IN ENGINEERING EXAMINATIONS SEMESTER /13 ASSOCIATE DEGREE IN ENGINEERING EXAMINATIONS SEMESTER 2 2012/13 COURSE NAME: ENGINEERING MECHANICS - STATICS CODE: ENG 2008 GROUP: AD ENG II DATE: May 2013 TIME: DURATION: 2 HOURS INSTRUCTIONS: 1. This

More information

DETAILED SYLLABUS FOR DISTANCE EDUCATION. Diploma. (Three Years Semester Scheme) Diploma in Architecture (DARC)

DETAILED SYLLABUS FOR DISTANCE EDUCATION. Diploma. (Three Years Semester Scheme) Diploma in Architecture (DARC) DETAILED SYLLABUS FOR DISTANCE EDUCATION Diploma (Three Years Semester Scheme) Diploma in Architecture (DARC) COURSE TITLE DURATION : Diploma in ARCHITECTURE (DARC) : 03 Years (Semester System) FOURTH

More information

ME 176 Final Exam, Fall 1995

ME 176 Final Exam, Fall 1995 ME 176 Final Exam, Fall 1995 Saturday, December 16, 12:30 3:30 PM, 1995. Answer all questions. Please write all answers in the space provided. If you need additional space, write on the back sides. Indicate

More information

Module 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method

Module 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method Module 2 Analysis of Statically Indeterminate Structures by the Matrix Force Method Lesson 8 The Force Method of Analysis: Beams Instructional Objectives After reading this chapter the student will be

More information

Only for Reference Page 1 of 18

Only for Reference  Page 1 of 18 Only for Reference www.civilpddc2013.weebly.com Page 1 of 18 Seat No.: Enrolment No. GUJARAT TECHNOLOGICAL UNIVERSITY PDDC - SEMESTER II EXAMINATION WINTER 2013 Subject Code: X20603 Date: 26-12-2013 Subject

More information

: APPLIED MECHANICS & STRENGTH OF MATERIALS COURSE CODE : 4021 COURSE CATEGORY : A PERIODS/ WEEK : 5 PERIODS/ SEMESTER : 75 CREDIT : 5 TIME SCHEDULE

: 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 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

Chapter 3. Load and Stress Analysis

Chapter 3. Load and Stress Analysis Chapter 3 Load and Stress Analysis 2 Shear Force and Bending Moments in Beams Internal shear force V & bending moment M must ensure equilibrium Fig. 3 2 Sign Conventions for Bending and Shear Fig. 3 3

More information

I certify that I have not given unauthorized aid nor have I received aid in the completion of this exam.

I 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 information

[8] Bending and Shear Loading of Beams

[8] Bending and Shear Loading of Beams [8] Bending and Shear Loading of Beams Page 1 of 28 [8] Bending and Shear Loading of Beams [8.1] Bending of Beams (will not be covered in class) [8.2] Bending Strain and Stress [8.3] Shear in Straight

More information

(Refer Slide Time: 2:43-03:02)

(Refer Slide Time: 2:43-03:02) Strength of Materials Prof. S. K. Bhattacharyya Department of Civil Engineering Indian Institute of Technology, Kharagpur Lecture - 34 Combined Stresses I Welcome to the first lesson of the eighth module

More information

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial : IG1_CE_G_Concrete Structures_100818 Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: E-mail: info@madeeasy.in Ph: 011-451461 CLASS TEST 018-19 CIVIL ENGINEERING

More information

18.Define the term modulus of resilience. May/June Define Principal Stress. 20. Define Hydrostatic Pressure.

18.Define the term modulus of resilience. May/June Define Principal Stress. 20. Define Hydrostatic Pressure. CE6306 STREGNTH OF MATERIALS Question Bank Unit-I STRESS, STRAIN, DEFORMATION OF SOLIDS PART-A 1. Define Poison s Ratio May/June 2009 2. What is thermal stress? May/June 2009 3. Estimate the load carried

More information

Chapter 6: Cross-Sectional Properties of Structural Members

Chapter 6: Cross-Sectional Properties of Structural Members Chapter 6: Cross-Sectional Properties of Structural Members Introduction Beam design requires the knowledge of the following. Material strengths (allowable stresses) Critical shear and moment values Cross

More information

3 Hours/100 Marks Seat No.

3 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 information

FIXED BEAMS CONTINUOUS BEAMS

FIXED BEAMS CONTINUOUS BEAMS FIXED BEAMS CONTINUOUS BEAMS INTRODUCTION A beam carried over more than two supports is known as a continuous beam. Railway bridges are common examples of continuous beams. But the beams in railway bridges

More information

2 marks Questions and Answers

2 marks Questions and Answers 1. Define the term strain energy. A: Strain Energy of the elastic body is defined as the internal work done by the external load in deforming or straining the body. 2. Define the terms: Resilience and

More information

Structural Steelwork Eurocodes Development of A Trans-national Approach

Structural Steelwork Eurocodes Development of A Trans-national Approach Structural Steelwork Eurocodes Development of A Trans-national Approach Course: Eurocode Module 7 : Worked Examples Lecture 0 : Simple braced frame Contents: 1. Simple Braced Frame 1.1 Characteristic Loads

More information

UNIVERSITY OF BOLTON WESTERN INTERNATIONAL COLLEGE FZE BENG(HONS) MECHANICAL ENGINEERING SEMESTER TWO EXAMINATION 2016/2017 ENGINEERING PRINCIPLES 2

UNIVERSITY OF BOLTON WESTERN INTERNATIONAL COLLEGE FZE BENG(HONS) MECHANICAL ENGINEERING SEMESTER TWO EXAMINATION 2016/2017 ENGINEERING PRINCIPLES 2 UNIVERSITY OF BOLTON OCD15 WESTERN INTERNATIONAL COLLEGE FZE BENG(HONS) MECHANICAL ENGINEERING SEMESTER TWO EXAMINATION 016/017 ENGINEERING PRINCIPLES MODULE NO: AME4053 Date: Wednesday 4 May 017 Time:

More information

REVOLVED CIRCLE SECTIONS. Triangle revolved about its Centroid

REVOLVED CIRCLE SECTIONS. Triangle revolved about its Centroid REVOLVED CIRCLE SECTIONS Triangle revolved about its Centroid Box-in Method Circle Sector Method Integrating to solve I, Ax, and A for a revolved triangle is difficult. A quadrilateral and another triangle

More information

Pre-stressed concrete = Pre-compression concrete Pre-compression stresses is applied at the place when tensile stress occur Concrete weak in tension

Pre-stressed concrete = Pre-compression concrete Pre-compression stresses is applied at the place when tensile stress occur Concrete weak in tension Pre-stressed concrete = Pre-compression concrete Pre-compression stresses is applied at the place when tensile stress occur Concrete weak in tension but strong in compression Steel tendon is first stressed

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

MECHANICS OF MATERIALS. Analysis of Beams for Bending

MECHANICS OF MATERIALS. Analysis of Beams for Bending MECHANICS OF MATERIALS Analysis of Beams for Bending By NUR FARHAYU ARIFFIN Faculty of Civil Engineering & Earth Resources Chapter Description Expected Outcomes Define the elastic deformation of an axially

More information

29. Define Stiffness matrix method. 30. What is the compatibility condition used in the flexibility method?

29. Define Stiffness matrix method. 30. What is the compatibility condition used in the flexibility method? CLASS: III YEAR / VI SEMESTER CIVIL SUBJECTCODE AND NAME: CE 2351 - STRUCTURAL ANALYSIS-II UNIT1 FLEXIBILITY MATRIX METHOD. PART A 1. What is meant by indeterminate structures? 2. What are the conditions

More information

Civil Engineering Design (1) Design of Reinforced Concrete Columns 2006/7

Civil Engineering Design (1) Design of Reinforced Concrete Columns 2006/7 Civil Engineering Design (1) Design of Reinforced Concrete Columns 2006/7 Dr. Colin Caprani, Chartered Engineer 1 Contents 1. Introduction... 3 1.1 Background... 3 1.2 Failure Modes... 5 1.3 Design Aspects...

More information

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.

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. 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 information

SRI CHANDRASEKHARENDRA SARASWATHI VISWA MAHAVIDHYALAYA

SRI CHANDRASEKHARENDRA SARASWATHI VISWA MAHAVIDHYALAYA SRI CHANDRASEKHARENDRA SARASWATHI VISWA MAHAVIDHYALAYA (Declared as Deemed-to-be University under Section 3 of the UGC Act, 1956, Vide notification No.F.9.9/92-U-3 dated 26 th May 1993 of the Govt. of

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

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

Structural Calculations for Juliet balconies using BALCONY 2 System (Aerofoil) handrail. Our ref: JULB2NB Date of issue: March 2017

Structural Calculations for Juliet balconies using BALCONY 2 System (Aerofoil) handrail. Our ref: JULB2NB Date of issue: March 2017 Juliet balconies using BALCONY 2 System (Aerofoil) handrail PAGE 1 (ref: JULB2NB280317) Structural Calculations for Juliet balconies using BALCONY 2 System (Aerofoil) handrail Our ref: JULB2NB280317 Date

More information

CHAPTER 7 DEFLECTIONS OF BEAMS

CHAPTER 7 DEFLECTIONS OF BEAMS CHPTER 7 DEFLECTIONS OF EMS OJECTIVES Determine the deflection and slope at specific points on beams and shafts, using various analytical methods including: o o o The integration method The use of discontinuity

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

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

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

Module 3. Analysis of Statically Indeterminate Structures by the Displacement Method

Module 3. Analysis of Statically Indeterminate Structures by the Displacement Method odule 3 Analysis of Statically Indeterminate Structures by the Displacement ethod Lesson 16 The Slope-Deflection ethod: rames Without Sidesway Instructional Objectives After reading this chapter the student

More information