Question

rectangular beam of breadth 100 mm and depth 200 mm is simply supported over a span of 4m. the beam is loaded with an uniformly distributed load of 5 kn/m over the entire span. find themaximum bending stresses.

Answer 1

To find the maximum bending stresses in the rectangular beam, we can use the formula:

Maximum Bending Stress = (Uniformly Distributed Load * Span^2) / (8 * Breadth * Depth^2)

Plugging in the given values:

Maximum Bending Stress = (5 kN/m * (4 m)^2) / (8 * 100 mm * (200 mm)^2)

Converting units:

Maximum Bending Stress = (5 kN/m * 4^2 m^2) / (8 * 0.1 m * 0.2^2 m^2)

Simplifying the expression:

Maximum Bending Stress = (5 * 16) / (8 * 0.1 * 0.04)

Maximum Bending Stress = 10 kN/m²

Therefore, the maximum bending stress in the rectangular beam is 10 kN/m².