A structural steel wide-flange shape [E = 222 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 = 80 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 = 2.57 × 1010 kN-mm2 is constant.

Assume that w0 = 150 N/m and L = 4 m. Determine the bending-moment equation M(x) for this beam and loading.

Two nearly identical beams with different lengths 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 = 1.96 × 1010 kN-mm2 is constant.

Two identical beams are loaded with P at different locations. Which beam will deflect the least?

Determine the beam deflection at point H. Assume that EI = 3.86 × 1010 kN-mm2 is constant.

Determine the beam deflection at point H. Assume that EI = 0.52 × 107 kips-in.2 is constant.

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

For the beam loaded as shown, use the method of superposition to determine the beam deflection at point H. Assume that EI = 1.47 × 107 kips-in.2 is constant.