### Engineering Mechanics And Strength Of Materials Model Question Paper

Engineering Mechanics And Strength Of Materials 3rd SEM Civil engineering  Model Question Paper for CIE(Tests)

 Test/Date and Time Semester/year Course/Course Code Max Marks Ex: I test/6 th week of sem 10- 11 Am III SEM Engineering Mechanics And Strength Of Materials 20 Year: 2015-16 Course code:15CE31T Name of Course coordinator : Course outcome:CO1, CO2                                                            Note: Answer all questions Question M CL CO PO 1 List different classification of force system 4 R 1 1,2 2 Differentiate between moment and couple? 4 U 1 1,2 3 Define: modulus of resilience. A ceiling fan hanging over a rod of 1.50 m long and outer diameter 20mm and thickness 2mm is subjected to an axial pull of 20 KN. If the modulus of elasticity of the material of the rod is 2 x 105 N/mm2, Determine 1. Stress 2.Strain 3.Elongation of the rod. OR Define: Proof resilience. Determine the total elongation of the component, if its modulus of Elasticity is 200GPa A2=100mm2                160KN 160KN       A1=50mm2     A B                                                       C 6 UA p 2 1,2,5 4 Write an expression between modulus of elasticity and modulus of rigidity ?The ultimate stress for a hollow steel column which carries an axial load of 2MN is 500 N/mm2 .If the external diameter of the column is 250mm, determine the internal diameter Take the factor of safety as 2. 6 R/ Ap 2 1,2,6 ®TEXT BOOKS

1.      Ramamurtham. S., “Strength of Materials”, 14th Edition, Dhanpat Rai Publications, 2011

2.      Khurmi R S, “Applied Mechanics and Strength of Materials ”, 5 Edition, S.Chand and company

3    S SBhavikatti,  Strength of Materials.

3.      Fundamentals of strength of materials by P N Chandramouli” PHI New delhi

4.      Basavarajaiah and Mahadevappa, “Strength of Materials”, CBS Publishers, New Delhi.

5.       Ferdinand Singer, “Strength of Materials”, Harper and Row Publications

6.      Srinath L S, Prakash Desayi,.Srinivasa Murthy N, S.AnanthaRamu, “Strength of Materials”, MacMillan, India, New Delhi.

7. REFERENCES

1.     Madan Mohan das, Mimi das Saikia, Bhargab Mohan das – Basic Engineering Mechanics And Strength of Materials- PHI Learning private limited, New Delhi.

2.   Popov E.P, “Engineering Mechanics of Solids”, 2nd Edition, Prentice-Hall of India, New Delhi, 2002.

3             Nash W.A, “Theory and problems in Strength of Materials”,Schaum Outline Series, McGraw-Hill Book Co., New York, 1995.

4                           Kazimi S.M.A, “Solid Mechanics”, Tata McGraw-Hill Publishing Co., New Delhi, 2003.

5                           Ryder G.H, “Strength of Materials”, 3rd Edition, Macmillan India Limited, 2002.

6                           Bansal R. K, “Strength of Materials”,Laxmi Publications, New Delhi, 2012.

7                           Timoshenko S.P, “Elements of Strength of Materials”, Tata McGraw-Hill, Delhi.

8                           James M. Gere, “Mechanics of Materials” - (5th Edition), Thomson Learning.

9                           Beer & Johnston, “Mechanics of Materials”, TATA McGraw Hill. 10 E P Popov, “Mechanics of Solids”, Prentice Hall of India.

11 Relevant IS Codes

### E–Learning

1.     http:// nptel.ac.in

2.     http://nptel.ac.in/courses/Webcoursecontents/IITROORKEE/strength%20of%20materials/ homepage.htm

3.     http://nptel.ac.in/courses/105105108/

5.     http://www.slideshare.net/Nuumero1/strength-of-materials-and-mechanics-of-solids-by-r- k-rajput

6.     http://www.eng.uokufa.edu.iq/staff/wissam/Strength%20Material-2.pdf

7.     http://www.learn2build.in/free/ebooks/appliedstrength.pdf

Model Question Paper

Diploma in Civil Engineering

3RD semester

Course title: STRENGTH OF MATERIALS

Time; 3Hrs.Max.marks: 100

Part –A

Answer any six each question carries 5 marks

1.                        Differentiate between moment and couple?

2.                        State “Parallel axis and perpendicular axis” theorem

3.                        Draw Stress-strain curve for mild steel? Define terms ultimate stress, working stress and factor of safety.

4.                        Show that cantilever beam with w kN/m UDL overall its length has maximum shear force is = wl and maximum bending moment= wS2 2

6.                        What are the assumptions in theory of simple bending?

7.                        State moment area method? Derive an expression for the slope and deflection for a cantilever carrying UDL w/ unit length over the span L by moment area method.

8.                        Calculate polar MI of square section having 200mm as side.

9.                        What is effective length of column? With neat sketches mention the length and crippling load of columns for different end conditions?

Part –B

Answer any seven each question carries 10 marks

10.               a) Classify force system according to plane and line of action?

b)  Find the horizontal and vertical component of following forces

A.     20kN acting at an angle 30oto the horizontal

B.     40kN acting at an angle 60oto the vertical.

11.               Find radius of gyration about x-x axis of symmetrical T-section shown in figure

12. a)Compare between centroid and centre of gravity ?

b)Find the centroid about X-axis and Y-axis for an angle section having dimensions 100 mm x 80 mm x 20 mm. where 100 mm side is vertical

13. Determine the total elongation of the component, if its modulus of Elasticity is 200GPa

14. A square bar 6mm x6mm in cross section having modulus of rigidity 0.8 x105 the cross section of the bar is reduced to 5.9991mm x 5.9991mm after the application of tensile load of 3600 N, Determine the modulus of elasticity and poisons ratio.
14. A simply supported beam of a span 6 m carries a udl of 10 KN/m over 4 m length from the left support and a udl of 5 KN/m over remaining length along with a point load of 20KN at 4m from the left support. Draw SF diagram.

Draw the bending moment and shear force diagram for the below figure

1. Sketch the bending stress distribution diagram across the cross section of a rectangular beam section 230 × 400 m subjected to 60 KNm

2. A column of timber section 150 x 200mm is 6m long, both ends being fixed. Find the safe load for the column. Use Euler’s formula and allow a factor of safety of 3 Take E

=17500N/mm2

 Unit 1-Introduction To Engineering Mechanics Cognitive level -Remember What are the characteristics of a force? Define resultant of a force system? Cognitive level -Understand Differentiate between Concurrent and non concurrent force system ? Differentiate between coplanar and non-coplanar force system? Differentiate between like parallel and unlike parallel force system ? Differentiate between moment and couple ? State the principle of transmissibility of forces State the conditions of equilibrium? Cognitive level -Application Find the horizontal and vertical component of the following forces. A.     20kN acting at an angle 30oto the horizontal B.      40kN acting at an angle 60o to the vertical Unit 2-Simple Stresses And Strains Cognitive level -Remember What are the Elastic Constants? Define: Resilience, proof resilience and modulus of resilience. Define stress and strain. Define Shear stress and Shear strain. Define elastic limit. Define volumetric strain. Define tensile stress and compressive stress. Define young’s Modulus. Define modulus of rigidity. Define thermal stress. Define Punching shear Write an expression between modulus of elasticity and modulus of rigidity ? Define plasticity and stiffness. Define Poisons Ratio & modular of elasticity. Write an expression between modulus of elasticity and modulus What is meant by direct stress? Explain the terms ultimate stress, working stress and factor of safety. Cognitive level -Understand What is Hooke’s Law? Define Poisson’s Ratio. Distinguish between rigid and deformable bodies. Define Hardness & Brittleness. Draw stress-strain diagram for ductile material. Distinguish between lateral strain and longitudinal strain, nominal stress Distinguish between lateral strain and longitudinal strain, nominal stress Draw the stress strain curve for ductile material and explain the term ultimate stress. Define hooks law? Write relation between modulus of elasticity, modulus of rigidity and bulk modulus?
3. A cast iron beam 50mm wide and 80mm deep is simply supported on a span of 1m .the beam caries a point load of 2kN at the centre. find the deflection at the centre take E=1x 105 N/mm2.

 Cognitive level -Application A rod of 1.50 m long and diameter 20mm is subjected to an axial pull of 20 KN. If the modulus of elasticity of the material of the rod is 2 x 105 N/mm2 Determine 1. Stress 2. Strain 3. the elongation of the rod. The extension in a rectangular steel bar of length 400mm and thickness 10mm is found to 0.21mm .The uniformly in width from 75mm If E for the bar is 2x 105 N/mm2 , Determine the axial load on the bar. A square bar 30mm of 2.50 m long is subjected to an axial pull of 30 KN. If the modulus of elasticity of the material of the rod is 2x 105 N/mm2 Determine 1. Stress 2. Strain 3. the elongation of the rod Find the young’s modulus of a rod of diameter 30mm and of length 300mm which is subjected to a tensile load of 60 KN and the extension of the rod is equal to 0.4 mm The extension in a rectangular steel bar of length 400mm and thickness 3mm is found be 0.21mm .The bar width 60mm E for the bar is 2x 105 N/mm2 Determine the load on the bar. The ultimate stress for a hollow steel column which carries an axial load of 2MN is 500 N/mm2 .If the external diameter of the column is 250mm, determine the internal diameter Take the factor of safety as 2. A strut as an internal diameter 150mm. what should be the minimum external diameter so that it may carry a load of 1500KN with a factor of safety 4, ultimate stress of steel is 450 N/mm2. A square steel bar of hollow cross-section subjected to a tensile load of 60KN with an internal dimension 25X25mm. determine thickness of the bar if the ultimate stress in the bar should not exceed 400N/mm2 with a factor of safety 4. A square bar 6mm x6mm in cross section having modulus of rigidity 0.8 x105 the dimension of the bar is reduced to 5.9991mm x 5.9991mm after the application of tensile load of 3600 N, Determine the modulus of elasticity and poisions ratio. A BAR shown in figure is subjected to a tensile load of 150kN find the diameter of middle section if the stress is limited to 140N/mm2 also find length of the middle portion if the total elongation of the bar is to be 0.15mm take E= 2x105 N/mm2 Cognitive level -Analysis