Project ForgeStrength of Materials
Bending of Beams
GATE 2018
Medium
A simply supported beam of width 100 mm, height 200 mm and length 4 m is carrying a uniformly distributed load of intensity 10 kN/m. The maximum bending stress (in MPa) in the beam is __________ (correct to one decimal place).
29.95 MPa(± 0.15 accepted)
Explanation
Mmax = wL²/8 = 10×4²/8 = 20 kN·m = 20,000,000 N·mm. I = bh³/12 = 100×200³/12 ≈ 66,666,667 mm⁴. c=h/2=100 mm. σ = Mc/I = 20,000,000×100/66,666,667 ≈ 30.0 MPa.
Source: GATE ME 2018 Session 1 (Set 1) (2018)
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