Mathematics · Deflection of Beams
A cantilever beam ABC of total length 10 m has a constant flexural rigidity EI. It is fixed at A, and points B and C are at distances of 5 m and 10 m from A, respectively. If a point load of 10 kN acts vertically downwards at point B, what would be the slope (rotation) at points B and C? (Assume standard units).
- 1θB = 125EI (clockwise), θC = 125EI (clockwise)✓
- 2θB = 125EI (clockwise), θC = 62.5EI (clockwise)
- 3θB = 62.5EI (clockwise), θC = 125EI (clockwise)
- 4θB = 125EI (clockwise), θC = 0
Correct answer
θB = 125EI (clockwise), θC = 125EI (clockwise)
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