A simply supported beam of length 6 m carries a central point load of 12 kN. What is the maximum bending moment in the beam?

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Multiple Choice

A simply supported beam of length 6 m carries a central point load of 12 kN. What is the maximum bending moment in the beam?

Explanation:
For a simply supported beam with a point load at midspan, the highest bending moment occurs at the center and equals P × L / 4. This comes from the reactions being equal (each is P/2) and the center moment being the left reaction times the half-span: M_max = (P/2) × (L/2) = P × L / 4. Plugging in P = 12 kN and L = 6 m gives M_max = 12 × 6 / 4 = 18 kN·m. So the maximum bending moment is 18 kN·m. The other numerical values don’t match this standard result.

For a simply supported beam with a point load at midspan, the highest bending moment occurs at the center and equals P × L / 4. This comes from the reactions being equal (each is P/2) and the center moment being the left reaction times the half-span: M_max = (P/2) × (L/2) = P × L / 4.

Plugging in P = 12 kN and L = 6 m gives M_max = 12 × 6 / 4 = 18 kN·m. So the maximum bending moment is 18 kN·m. The other numerical values don’t match this standard result.

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