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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.

A polymer beam was designed to sit on three supports, but the middle support was accidentally placed 0.4 mm lower than the others. Determine the magnitude of the vertical reaction force at B after moment M = 0.75 N·m is applied and causes the beam to rest on all three supports. Let a = 59 mm, b = 59 mm, and EI = 1.00 N·m2. Assume that the supports allow rotation, no deflection at A and C, and no additional deflection at B.

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A straight polymer beam is bent due to load P = 0.87 N. Determine the magnitude of the beam’s slope at A. Let a = 40 mm, b = 66 mm, c = 74 mm, and EI = 0.30 N·m2. Assume that the supports allow rotation but not deflection at A and C.

Determine the beam deflection at point H. Assume that EI = 6.70 × 1010 kN-mm2 is constant.

A polymer beam was designed to sit on three supports, but the middle support was accidentally placed 0.5 mm lower than the others. Determine the magnitude of the vertical reaction force at B after moment M = 0.75 N·m is applied and causes the beam to rest on all three supports. Let a = 59 mm, b = 59 mm, and EI = 0.85 N·m2. Assume that the supports allow rotation, no deflection at A and C, and no additional deflection at B.

A polymer beam was designed to sit on three supports, but the middle support was accidentally placed 0.3 mm lower than the others. Determine the magnitude of the vertical reaction force at B after moment M = 0.72 N·m is applied and causes the beam to rest on all three supports. Let a = 54 mm, b = 54 mm, and EI = 0.95 N·m2. Assume that the supports allow rotation, no deflection at A and C, and no additional deflection at B.

A straight polymer beam is bent due to load P = 0.92 N. Determine the magnitude of the beam’s vertical deflection at D. Let a = 42 mm, b = 75 mm, c = 63 mm, and EI = 0.15 N·m2. Assume that the supports allow rotation but not deflection at A and C.

For the beam loaded as shown (L1 = 1.80 m and L2 = 5.45 m), use the method of superposition to determine the beam deflection at point H. Assume that EI = 8 × 104 kN-m2 is constant.

Shear force is a function of the _______ derivative of the elastic curve.