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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. A simply supported beam AB of span, L = 24 m is subjected to two wheel loads acting at a distance, d = 5 m apart as shown in the figure below. Each wheel transmits is a load, P = 3 kN and may occupy any position along the beam. If the beam is an I-section having section modulus, S = 16.2 cm3, the maximum bending stress (in GPa) due to the wheel loads is_______________
    1. 1759
    2. 175
    3. 1759.9
    4. 1759.2
Correct Option: D


σ
=
m
yI

⇒ σ =
m
. y =
m
Iz

=
28.5 × 106
16.2 × 103

(m = 3 × 9.5 = 28.5)
= 1759.2 GPa



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