Axial loads are applied with rigid bearing plates to the solid cylindrical rods. One load of P = 110 kN is applied to the assembly at A, two loads Q = 40 kN are applied at B, and two loads R = 130 kN are applied at C. Determine the total change in length of the assembly.L1 = 0.24 m, E1 = 194 GPa, A1 = 0.0014 m2L2 = 0.42 m, E2 = 208 GPa, A2 = 0.0003 m2L3 = 0.30 m, E3 = 108 GPa, A3 = 0.0016 m2
Blog
A 3D printed polymer rod measures 115.00 mm in length while…
A 3D printed polymer rod measures 115.00 mm in length while on the heated print bed at 67.0°C. After cooling to room temperature at 21.9°C the rod measures 114.69 mm in length. Determine the coefficient of thermal expansion of the polymer.
Two pieces of high-density polyethylene [E = 0.86 GPa] tubin…
Two pieces of high-density polyethylene [E = 0.86 GPa] tubing are fitted together and firmly clamped at their ends. A load of 200 N is applied to the fitting. Tube (1) is 155 mm long, and tube (2) is 105 mm long. Both tubes have an outsider diameter of 22.0 mm and an inside diameter of 17.2 mm. Determine the load carried by tube (2).
A load of P = 485 lb is applied to beam ABC. Determine the n…
A load of P = 485 lb is applied to beam ABC. Determine the normal force in bar (1). Let a = 28 in., b = 15 in., and c = 10 in.
Two pieces of high-density polyethylene [E = 0.95 GPa] tubin…
Two pieces of high-density polyethylene [E = 0.95 GPa] tubing are fitted together and firmly clamped at their ends. A load of 196 N is applied to the fitting. Tube (1) is 140 mm long, and tube (2) is 95 mm long. Both tubes have an outsider diameter of 23.0 mm and an inside diameter of 18.4 mm. Determine the load carried by tube (2).
A load of P = 780 lb is applied to beam ABC. Bar (1) is made…
A load of P = 780 lb is applied to beam ABC. Bar (1) is made of aluminum [E = 10,300 ksi] and has a square cross section with a width of 0.95 in. Determine the magnitude of the change in length of bar (1) due to the load. Let a = 39 in., b = 15 in., and c = 8 in.
Two pieces of high-density polyethylene [E = 0.87 GPa] tubin…
Two pieces of high-density polyethylene [E = 0.87 GPa] tubing are fitted together and firmly clamped at their ends. A load of 131 N is applied to the fitting. Tube (1) is 160 mm long, and tube (2) is 110 mm long. Both tubes have an outsider diameter of 23.0 mm and an inside diameter of 18.4 mm. Determine the load carried by tube (1).
If the double-shear pin at D has a diameter of 0.600 in., an…
If the double-shear pin at D has a diameter of 0.600 in., an allowable shear strength of 14 ksi, and a factor of safety of 2.0, determine the maximum load P that can be applied to beam ABC. Let a = 32 in., b = 12 in., and c = 9 in.
If the double-shear pin at D has a diameter of 0.555 in., an…
If the double-shear pin at D has a diameter of 0.555 in., an allowable shear strength of 18 ksi, and a factor of safety of 1.5, determine the maximum load P that can be applied to beam ABC. Let a = 39 in., b = 16 in., and c = 9 in.
A short column is composed of two steel [E = 29,000 ksi, ν =…
A short column is composed of two steel [E = 29,000 ksi, ν = 0.30] segments, each with a length of 5.9 in. Segment (1) is hollow with an outside diameter of 1.00 in. and a wall thickness of 0.16 in. Segment (2) is hollow with an outside diameter of 1.32 in. and a wall thickness of 0.16 in. How much shorter does the column become after a load of P = 880 lb is applied?