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Distributed load is a function of the _______ derivative of the elastic curve.

A straight polymer beam is bent due to moment M = 0.69 N·m. Determine the magnitude of the beam’s slope at B. Let a = 112 mm, b = 68 mm, and EI = 1.10 N·m2. Assume that the supports allow rotation but not deflection at A and B.

A straight polymer beam is bent due to moment M = 0.71 N·m. Determine the magnitude of the beam’s slope at B. Let a = 105 mm, b = 75 mm, and EI = 0.80 N·m2. Assume that the supports allow rotation but not deflection at A and B.

A straight polymer beam is fixed at A and sits on a support that allows rotation but not deflection at B. Determine the magnitude of the vertical reaction force at B due to load P = 0.81 N. Let a = 110 mm, b = 56 mm, and EI = 1.05 N·m2.

Determine the beam deflection at point H. Assume that EI = 4.74 × 1010 kN-mm2 is constant.

A polymer beam sits on three supports that allow rotation but not deflection at A, B, and C. Determine the magnitude of the vertical reaction force at B due to moment M = 0.73 N·m. Let a = 51 mm, b = 51 mm, and EI = 1.00 N·m2.

A polymer beam sits on three supports that allow rotation but not deflection at A, B, and C. Determine the magnitude of the vertical reaction force at B due to moment M = 0.66 N·m. Let a = 55 mm, b = 55 mm, and EI = 1.00 N·m2.

A straight polymer beam is bent due to load P = 0.97 N. Determine the magnitude of the beam’s slope at A. Let a = 43 mm, b = 69 mm, c = 68 mm, and EI = 0.30 N·m2. Assume that the supports allow rotation but not deflection at A and C.

A straight polymer beam is bent due to load P = 0.96 N. Determine the magnitude of the beam’s vertical deflection at D. Let a = 41 mm, b = 66 mm, c = 73 mm, and EI = 0.10 N·m2. Assume that the supports allow rotation but not deflection at A and C.

For the beam loaded as shown (L1 = 2.90 m and L2 = 4.85 m), use the method of superposition to determine the beam deflection at point H. Assume that EI = 8 × 104 kN-m2 is constant.