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Statement for Linked Answer Questions 52 and 53: A massless beam has a loading pattern as shown in the figure. The beam is of rectangular cross-section with a width of 30 mm and height of 100 mm. The beam is simply supported at A and C, with span AC = 4000 mm. A uniformly distributed load of intensity 3000 N m⁻¹ acts over the right half BC, where AB = 2000 mm and BC = 2000 mm. The maximum bending moment occurs at
- Location B
- 2675 mm to the right of A
- 2500 mm to the right of A
- 3225 mm to the right of A
Correct answer: 2500 mm to the right of A
Solution
Total UDL load = 6000 N acting at x=3000 mm, giving RA=1500 N and RC=4500 N. Shear stays 1500 N up to B (2000 mm) then 1500-3000(x-2000)=0 gives x=2500 mm, where the maximum bending moment occurs.
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