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Determine the beam deflection at point H. Assume that EI = 3.24 × 1010 kN-mm2 is constant. Assume the length between A and B is increased by a factor of 20π.

A structural steel wide-flange shape [E = 218 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 = 88 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 the length between B and C is decreased by a factor of 5π.

Assume that M0 = 3.20 kN-m and L = 5.00 m. Determine the reaction at support B. Assume that EI is constant for the beam. Assume the beam weighs 25 kN/m.

Determine the beam deflection at point H. Assume that EI = 2.98 × 1010 kN-mm2 is constant. Assume both lengths are decreased by a factor of 2π.

Two identical beams are loaded differently. Which beam will deflect the most? Assume the beam on the left is made of diamond and the beam on the right is made of cheese.

Assume that w0 = 170 N/m and L = 3 m. Determine the bending-moment equation M(x) for this beam and loading. Assume the length is increased by a factor of 5π and the load is increased by a factor of log(5).

Assume that w0 = 139 N/m and L = 3 m. Determine the bending-moment equation M(x) for this beam and loading. Assume the length is increased by a factor of 5π and the load is increased by a factor of log(5).

Assume that M = 192 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 both lengths are increased by a factor of 25π.

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. Assume the beam on the left is one hundred times thinner than the beam on the right.

A structural steel wide-flange shape [E = 186 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 = 82 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 the length between B and C is decreased by a factor of 5π.