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Assume that w0 = 132 N/m and L = 5 m. Determine the bending-moment equation M(x) for this beam and loading.

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

A structural steel wide-flange shape [E = 162 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 = 84 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.

Determine the beam deflection at point H. Assume that EI = 1.50 × 107 kips-in.2 is constant.

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.

Assume that P = 17 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.)

A structural steel wide-flange shape [E = 230 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 = 72 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.

Two nearly identical beams with different widths are loaded with P at center span. Which beam will deflect the most? Ignore the weight difference between the two beams.

Determine the beam deflection at point H. Assume that EI = 3.33 × 1010 kN-mm2 is constant.

Assume that P = 15 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.)