Assume that M = 147 kN-m and that EI = 5.0 × 1010 kN-mm2 is constant. Determine the concentrated downward force P required to make the total beam deflection at B equal to zero.

A structural steel wide-flange shape [E = 180 GPa; I = 201 × 106 mm4] is loaded and supported as shown. The beam is supported at B by a 20-mm-diameter solid aluminum [E = 78 GPa] rod. After a concentrated load of 40 kN is applied to the tip of the cantilever, determine the force produced in the aluminum rod.

Assume that P = 29 kips and L = 5 ft. Determine the reaction force at C. Assume that EI is constant for the beam. (Reminder: The roller symbol implies that both upward and downward displacement is restrained.)

Assume that w0 = 128 N/m and L = 4 m. Determine the bending-moment equation M(x) for this beam and loading.

Determine the beam deflection at point H. Assume that EI = 1.63 × 1010 kN-mm2 is constant.

Determine the beam deflection at point H. Assume that EI = 3.11 × 1010 kN-mm2 is constant.

Two identical beams are loaded with P and 2P. Which beam will deflect the most?

Assume that M0 = 6.15 kN-m and L = 6.60 m. Determine the reaction at support B. Assume that EI is constant for the beam.

Determine the beam deflection at point H. Assume that EI = 1.50 × 1010 kN-mm2 is constant.

Assume that P = 35 kips and L = 5 ft. Determine the reaction force at C. Assume that EI is constant for the beam. (Reminder: The roller symbol implies that both upward and downward displacement is restrained.)