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Assume that M = 188 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.

Two identical beams are loaded with w on opposite ends. Which beam will deflect the most?

Assume that M0 = 5.80 kN-m and L = 4.10 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 = 4.80 × 1010 kN-mm2 is constant.

A structural steel wide-flange shape [E = 210 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 = 76 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 elastic moduli (E1 < E2) are loaded with P at center span. Which beam will deflect the least? Ignore the weight difference between the two beams.

Determine the beam deflection at point H. Assume that EI = 2.21 × 1010 kN-mm2 is constant.

Determine the beam deflection at point H. Assume that EI = 2.96 × 1010 kN-mm2 is constant.

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?