02000ME201092001

PART C
Answer any four full questions, each carries 10 marks.
9 A beam of length 8 m is simply supported at its ends. It carries a uniformly (10)
distributed load of 40KN/m as shown in figure. Determine the deflection of the
2

beam at its midpoint using Macaulay’s method. Take E=2x10° N/mm? and
154.310" ബണ്‌
10 The intensity of resultant stress on a plane AB at a point in a material under (10)

stress is 800 N/em? and it is inclined at 30° to the normal to that plane. The
normal component of stress on another plane BC at right angles to plane AB is
600 N/mm”. Determine 1) Resultant stress on the plane BC

ii) Principal stresses and their directions

iii) Maximum shear stress

11 a) Explain moment-area method used in beams. (3)

2.
>) Prove the relation च = EIS, where M= bending moment, E=Young’s 0

modulus and I- Moment of Inertia.
12 Determine the principal stress, maximum in-plane shear stress and average (10)
normal stress using Mohr circle method. Specify the orientation of the element
in each case. ൦൧350 MPa (Tensile), ൭200 MPa (Compression) 1,,=500
MPa.

Oxx

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