Computer · Strength of Materials
A simply supported beam carries three types of loading along different segments: * Segment A to B (0 - 2 m): No external load * Segment B to C (2 - 5 m): Uniformly distributed load of constant intensity * Segment C to D (5 - 7 m): Uniformly varying load increasing from zero at C to a maximum at D Which of the following statements correctly describes the variation of shear force and bending moment across these three segments?
- 1From A to B, the shear force is constant and the bending moment is parabolic; from B to C, the shear force varies linearly, and the bending moment is linear; from C to D, the shear force varies cubically, and the bending moment is parabolic.
- 2From A to B, the shear force is linear and the bending moment is parabolic; from B to C, shear force varies parabolically and bending moment is cubic; from C to D, the shear force varies linearly, and the bending moment is linear.
- 3From A to B, the shear force is constant and the bending moment is linear; from B to C, shear force varies linearly, and bending moment is parabolic; from C to D, shear force varies parabolically, and bending moment is cubic.✓
- 4From A to B, the shear force is linear and the bending moment is constant; from B to C, shear force varies parabolically and bending moment is linear; from C to D, the shear force varies linearly, and the bending moment is cubic.
Correct answer
From A to B, the shear force is constant and the bending moment is linear; from B to C, shear force varies linearly, and bending moment is parabolic; from C to D, shear force varies parabolically, and bending moment is cubic.
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