A cantilever beam is fixed on the left end and free on the right end. The span of the beam is 12 ft. A 2 kip (1kip = 1000lbs) concentrated load is applied to the free end. A 0 kip/ft uniform distributed load is applied on the left half of the beam (between the fixed end and midpoint of the beam). What is the moment reaction at the fixed end of the beam in kip-ft? Use an appropriate sign if the moment is counterclockwise or clockwise.

A load P is supported by a structure consisting of rigid bar ABC, two identical solid aluminum alloy [E = 73 GPa] rods (1), and a solid bronze [E = 105 GPa] rod (2).  The aluminum rods (1) each have a diameter of 11 mm and a length of L1 = 1.5 m.  They are symmetrically positioned relative to middle rod (2) and the applied load P. Bronze rod (2) has a diameter of 21 mm and a length of L2 = 0.8 m.  If all bars are unstressed before the load P is applied, determine the normal stresses in the aluminum and bronze rods after a load of P = 76 kN is applied to the rigid bar.

The floor of an apartment building shown is subjected to a uniformly distributed dead load of 1.5 kPa and a uniformly distributed live load of 1.9 kPa over its surface area. Determine the service (ASD) reaction (kN) of girder AF that will be transferred to the column at F. Girder Floor beam Column E A B H FH- H L G H M 4 at 7.5 m 30 m D N -Io 2 at 12 m = 24 m

A load P is supported by a structure consisting of rigid bar ABC, two identical solid aluminum alloy [E = 73 GPa] rods (1), and a solid bronze [E = 105 GPa] rod (2). The aluminum rods (1) each have a diameter of 8 mm and a length of L₁ = 1.5 m. They are symmetrically positioned relative to middle rod (2) and the applied load P. Bronze rod (2) has a diameter of 16 mm and a length of L₂ = 1.0 m. If all bars are unstressed before the load P is applied, determine the normal stresses in the aluminum and bronze rods after a load of P = 66 KN is applied to the rigid bar. L₁ A B Answer: 0₁ = i 38 02 i L2 (2) (1) (1) MPa MPa