CE6306 Strength of  Materials, Second year
Department of Mechanical Engineering
First and second Units Questions.
Answer ALL Questions

PART A – (10 x 2 = 20 Marks)
1.       Define  Hooke’s law.
2.       Define limit of proportionality and yield stress.
3.       Calculate the force required for punching a hole of 10mm diameter through a mild steel plate of 5mm thick.Take
Maximum shear strength of mild steel as 300N/mm2 Also find the compressive stress on the punch.
4.       What is principle of superposition.
5.       Define young’s modulus.
6.       Write down any four types of beams.
7.       Write the relationship between bending moment and shear force.
8.       Draw the sf and bm diagram for simply supported beam of length carrying a point load w at its midpoint.
9.       What are the types of loads ?
10.    A cantilever beam of length 6m carries a uniformly distributed load of 3KN/m over its entire length draw shear force and bending moment diagram.

Answer all questions

  1. A bar 0.3m long is 50mm square in section for 120mm of its length,25mm diameter for 80mm and of 40mm diameter for the remaining length.if a tensile force of 100KN is applied to the bar calculate the maximum and minimum stress produced in it and the total elongation.Take E=200 GN/m2 and assume uniform distribution of load over the cross section.(13)


  1. A steel tube of 30mm external diameter and diameter and 20mm internal diameter encloses a copper rod of  15mm diameter to which it is rigidity  joined at end. If at a temperature 10◦c there is no longitudinal stress.calculate the stresses in the rod and tube when the temperature is raised to 200◦c.ES=2.1×105 N/mm2
            Ec =1×105N/mm2.Coefficient of linear expansion of steel and copper are 11×10-6per◦c and 18×10-6per◦c respectively.

    13.   Draw the stress strain curve for a mild  steel rod subject to tension and explain about the sailent points on it(13)
 14.A simply supported the  beam of span 6 meter is carrying uniformly distributed load of  2kn /M over a entire span .Calculate the magnituidev of shear force  and bending movement at every section 2m from the left support .Also draw shear force and bending movement diagrams


15.Draw the shear force and bending movement diagram for the beam loaded as shown in t5he figure and mark the points opf contra flexure if any .
                                               
PART – C( 1×15=15 Marks)
16.  A steel circular bar  3 segment  as shown in the figure .Determine
i)The total elongation of the bar
ii)The leng6th of the middle segment to have 0 elongation of the bar
iii)Thev diametyer of the last segment to have 0 elongation of the bar Take E= 200GPa