High School

A rectangular beam, 60 mm wide and 150 mm deep, is simply supported over a span of 6 m. If the beam is subjected to a center point load of 12 kN, find the maximum bending stress induced in the beam section.

Answer :

Final answer:

To find the maximum bending stress induced in the beam section, use the formula: Bending Stress (σ) = (M * c) / I.

Explanation:

To find the maximum bending stress induced in the beam section, we can use the formula:

Bending Stress (σ) = (M * c) / I

Where:

  • M is the moment of the point load = 12 kN * 6 m
  • c is the distance from the neutral axis to the outermost fiber (half the depth of the beam) = 150 mm / 2
  • I is the second moment of area of the beam section = (width * depth^3) / 12

Plugging in the values, we can calculate the maximum bending stress.

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