A structural steel wide-flange shape [E = 204 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 = 68 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 M = 129 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.

Determine the beam deflection at point H. Assume that EI = 2.93 × 1010 kN-mm2 is constant. Assume the length between A and B is increased by a factor of 20π.

Consider the balanced equation: 2 Mg + O2 → 2 MgO If `x` mol of Mg reacts with excess oxygen, how many moles of MgO are produced? Important: You must show all of your work on scratch paper. Your scratch paper must be uploaded to the Scratch Paper Submission assignment immediately after completing the exam.

Arrange the coefficients in the correct order to balance the following double-displacement reaction. ___ Fe2(SO4)3 + ___ KOH → ___ Fe(OH)3 + ___ K2SO4

A structural steel wide-flange shape [E = 206 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 = 52 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.

Determine the beam deflection at point H. Assume that EI = 2.29 × 1010 kN-mm2 is constant. Assume the length between A and B is increased by a factor of 20π.

Two nearly identical beams with different elastic moduli (E1 > E2) are loaded with P at center span. Which beam will deflect the most? 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.

Categorize each statement as describing either the limiting reactant or the excess reactant.

For the beam loaded as shown, use the method of superposition to determine the beam deflection at point H. Assume that EI = 1.25 × 107 kips-in.2 is constant. Assume the length between B and C is increased by a factor of 25π.