A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 14100 ksi] rods, and a solid steel [E - 28000 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.61 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.47 in. Assume L1-39 in and L2-72 in. If all bars are unstressed before the load P is applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P = 29 kips is applied.

Rigid bar ABCD is supported by a smoth pin at D and by vertical aluminum alloy [E=10,000 ksi] bars attached at joints A and C. Bar (1) was fabricated to its intended length L1=40 in. Bar (2) was intended to have a length of 60 in.; however, its actual length after fabrication was found to be L2=59.88 in. To connect it to the pin at C on the rigid bar, bar (2) will need to be manually stretched by Δ=0.12 in. After bar (2) has been stretched and connected to the pin at C, a load P=20 kips is applied to the rigid bar at B. Use the following additional properties and dimensions: A1=A2=0.75 in2, a = 36 in, b =54 in, and c = 48 in. Determin: a) The normal stresses in bars (1) and (2). b) The deflection at A of the rigid bar.

A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.50 in. and a wall thickness of 0.219 in. is fastened to a solid 2.00-in.-diameter aluminum [E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume P=18 kips, Q=10 kips, L1=6 ft, L2=7 ft, and L3=7 ft.  (A) Calculate the cross-sectional area of steel tube (1), A1, and the cross-sectional area of the aluminum rods (2) and (3). in inches squared (B) Find the force in the steel tube (1), F1, and the forces F2 and F3, which are the forces in the aluminum rods.  Use the correct sign for each force.  By convention, a tension force is positive, and a compression force is negative. IN kips (C) Find σ1, σ2, and σ3, the normal stresses in members (1), (2), and (3), respectively. By convention, a tension stress is positive, and a compression stress is negative. IN KSI (D) Determine δ1 and δ2, the deformations of members (1) and (2), respectively.  By…

Rigid bar ABCD is loaded and supported. Bars (1) and (2) are unstressed before the load P is applied. Bar (1) is made of bronze [E= 100 GPa] and has a cross-sectional area of 400 mm2.  Bar (2) is made of aluminum [E= 70 GPa] and has a cross-sectional area of 600 mm2.  After the load P is applied, the force in bar (1) is found to be 60 kN (in compression). Determine: (a) the stresses in bars (1) and (2).(b) the vertical deflection of point A.(c) the load P.