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RGPV Civil Engineering (Semester 3)
Strength of Materials
December 2015
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

1(a) Define malleability and ductility.
2 M
1(b) What is the purpose of Mohr's circle?
2 M
1(c) A circular rod of 12.5mm was tested for tension. The total elongation on a 325 mm length was 0.23 mm under a tensile load of 18kN. Find the value of Young's modulus.
3 M
Solve any one question from Q.1(d) & Q.1(e)
1(d) Explain with mathematical derivation, thermal stresses indued in bars of tapering section due to change in temperature.
7 M
1(e) Determine the percentage change in volume of a steel har 50mm square in section and 1m long when subjected to an axial compressive load of 20kN.What change in volume would a 100mm cube of steel suffer at a depth of 5km in sea water?
7 M

2(a) Define flextural rigidity and its significance.
2 M
2(b) Explain different types of beams with diagram.
2 M
2(c) Name various methods of finding deflection in beams. Define any one method in brief.
3 M
Solve any one question from Q.2(d) & Q.2(e)
2(d) Derive the expression M/I=E/R=σ/y for simple bending of a beam.
7 M
2(e) A beam simply supported at ends A and B is loaded with two points loads of 30kN each at a distance of 2m and 3m respectively from end A. Determine the position and magnitude of the maximum deflection by double integration method. Take E=2×105N/mm2and I=7200cm4
7 M

3(a) Explain different types of springs with graphical representation.
2 M
3(b) What is thick cylinder?
2 M
3(c) Write assumptions made by theory of pure torsion.
3 M
Solve any one question from Q.3(d) & Q.3(e)
3(d) Derive the expression of deflection of open coiled helical spring subjected to axial load.
7 M
3(e) A cylindrical shells 2m long and 90cm internal diameter and 12mm metal thickness s subjected to an internal pressure of 1.6N/mm2.Determine
Maximum intensity of shear stress and
b) Change in the dimensions of the shell
Take E=2×105N/mm2and 1/m=0.3
7 M

4(a) What is a beam of uniform strength?
2 M
4(b) What are the reasons for unsymmetrical bending?
2 M
4(c) What do you understand by shear center?
3 M
Solve any one question from Q.4(d) & Q.4(e)
4(d) Define shear stress and show the shear stress distribution mathematically and graphically over solid circular section.
7 M
4(e) Derive the expression for shear stress distribution over I-section.
7 M

5(a) Differentiate column and struts.
2 M
5(b) Define factor of safety.
2 M
5(c) How columns are classified depending upon slenderness ratio?
3 M
Solve any one question from Q.5(d) & Q.5(e)
5(d) Derive an expression for finding the buckling load for a column having one end fixed and another hinged.
7 M
5(e) Explain different modes of failure of a column subjected to axial load.
7 M

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