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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. A beam with the cross-section given below is subjected to a positive bending moment (causing compression at the top) of 16 kN–m acting around the horizontal axis. The tensile
    1. zero
    2. 5.9 kN
    3. 8.9 kN
    4. 17.8 kN
Correct Option: C

M
=
f
=
E
IyR

f =
m.y
I

f(at 25 mm) =
m
× 25
I

=
16 × 106
× 25
(1/12) × 100 × 1503

= 14.22 N/mm2
Force in shaded area
= (1/2) × 14.22 × (area of shaded portion)
= (1/2) × 14.22 × 25 × 50 = 8.9kN



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