College : Vardhaman College Of Engineering
Degree : B.Tech
Department : Mechanical Engineering
Semester : III
Subject : Machanics Of Solids
Document type : Question Paper
Website : vardhaman.org
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Machanics Of Solids Question Paper :
B. Tech III Semester Regular Examinations, December – 2013
(Common to Mechanical Engineering & Aeronautical Engineering)
Date : 6 December, 2013
Time : 3 Hours
Max. Marks : 75
Answer ONE question from each Unit
All Questions Carry Equal Marks
All parts of the question must be answered in one place only
Related : Vardhaman College Of Engineering Concrete Technology B.Tech Question Paper : www.pdfquestion.in/6313.html
Unit – 1 :
1. a) Draw the typical stress strain curve for a ductile material, show and briefly explain the salient points. 7M
b) The diameter of a specimen is found to reduce by 0.004 mm, when it is subjected to a tensile force of 19 KN. Initial diameter of the specimen is 20 mm. Taking modulus of rigidity for the specimen as 0.4×105 N/mm 2 , determine the values of young’s modulus and Poisson’s ratio. 8M
2. a) A brass bar having cross sectional area 300 mm 2 is subjected to axial forces as shown in fig.1. Determine the total elongation of the bar taking E as 84 GPa. 7M
b) A rod of steel is 20 m long at a temperature of 200C. Taking a=12×10 -6 /0C and E=200 Gpa, determine;
i. The free expansion of the rod when the temperature is raised to 6500C . ii. The thermal stress induced when the expansion of the rod is prevented.
iii. Thermal stress when the rod is permitted to expand by 5.8 mm. 8M
Unit – 2 :
3. a) A cantilever is loaded with several point loads as shown in fig.2. Draw the SF AND BM diagrams. fig.2 6M
b) The simply supported beam shown in fig.3 carries two concentrated loads and a uniformly distributed load. Draw the SFD and BMD. 9M
4. a) Explain (i) Pure bending (ii) Sign conventions for shear force &bending moment. 4M
b) Draw the shear force and bending moment diagrams for a simply supported beam subjected to the forces and moments as shown in fig.4 Also locate the point of contraflexure. 11M
Unit – 3 :
5. a) State the assumptions made in deriving the bending equation. Write down the bending equation and name each term and its unit. 5M
b) A 2m long steel beam of rectangular cross section of width 60 mm and depth 120 mm is simply supported at its ends. Determine the maximum point load P that can beapplied at the midpoint of the beam taking the allowable stress in the material as 90 MPa. 10M
6. a) Explain (i) Moment of resistance (ii) Flexural rigidity as applied to beams 4M
b) A beam with symmetric I section of flange width 180 mm and total depth of 310 mm and flange & web thickness 15 mm is subjected to a bending moment of 120 KN-m shear force of 60 KN. Determine & sketch the bending stress and shear stress distribution along the depth of the section. 11M
Unit – 4 :
7. a) Explain the terms (i) Perfect frame (ii) Imperfect frame. 4M
b) A truss of span 7.5m carries a point load of 1 KN at joint D as shown in the fig.5 below. Determine the reactions and forces in the members of the truss. 7.5m 11M
8. a) With usual notations, obtain the expressions for slope & deflection at the free end of a cantilever beam subjected to uniformly distributed load.8M
b) A 2m long cantilever is subjected to a UDL of 10 KN/m throughout its length and a vertically downward point load of 20 KN at its free end. Taking E= 200 GPa, and maximum deflection as 0.3 mm, determine the width and depth of the rectangular cross section of the beam. Assume depth=twice the width. 7M
Unit – 5 :
9. a) Show the Change in dimensions of thin cylindrical shell (Diameter, length and volume). 9M
b) A thick cylinder of internal diameter 160 mm is subjected to an internal pressure 40 N/mm2. If the allowable stress in the material is 120 N/mm2, find the thickness required. 6M
10. A compound cylinder has inner radius 200 mm, radius at common surface 250 mm and outer radius is 300mm. Radial pressure at common surface is 6 N/mm 2 . What are the final hoop stresses after a fluid is admitted at an internal pressure of 80 N/mm 2 ? Sketch the variation of hoop and radial stresses. 15M