Section A
Q1.
(a) A rectangular bar of 30 mm × 60 mm cross-section and 200 mm length is restrained from expansion along its 30 mm × 200 mm sides by surrounding material. Find the change in dimensions and volume when a compressive force of 180 kN acts in axial direction. E = 2 × 105 MPa; v = 0.3
(b)
(i) List the tests for bricks and the corresponding I.S. code.
(ii) What are the various defects in timber ? Explain through neat sketches.
(iii) What is CFRP ? Indicate its ultimate tensile strength and modulus of elasticity.
(c) A propped cantilever beam is shown in Figure 1. Analyze it using the stiffness matrix method and find the reactions in the spring. Neglect axial deformation in the beam. Show the degrees of freedom.
(d) A plane element in a body is subjected to stresses as shown in Figure 2. Determine the principal stresses and maximum shear stresses and the planes on which they act. Indicate them in separate sketches.