Axial loads are applied with rigid bearing plates to the solid cylindrical rods. One load of P = 90 kN is applied to the assembly at A, two loads Q = 50 kN are applied at B, and two loads R = 170 kN are applied at C. Determine the total change in length of the assembly.L1 = 0.20 m, E1 = 196 GPa, A1 = 0.0012 m2L2 = 0.48 m, E2 = 202 GPa, A2 = 0.0004 m2L3 = 0.34 m, E3 = 108 GPa, A3 = 0.0015 m2
If rod (1) elongates 0.237 mm and rod (2) elongates 0.357 mm…
If rod (1) elongates 0.237 mm and rod (2) elongates 0.357 mm, determine how far downward E moves. Let a = 0.33 m and b = 0.65 m.
If a load of P = 7 kN is applied to rod (2), determine the m…
If a load of P = 7 kN is applied to rod (2), determine the magnitude of the resultant force at C. Let a = 0.41 m and b = 0.71 m.
If the normal stress in rod (1) is limited to 300 MPa and th…
If the normal stress in rod (1) is limited to 300 MPa and the required factor of safety is 2.3, determine the maximum load P that can be applied to rod (2). Let a = 0.41 m, b = 0.75 m, and the cross-sectional area of rod (1) be 90 mm2.
A load of P = 13,900 lb is applied to the connection. If the…
A load of P = 13,900 lb is applied to the connection. If the average shear stress in the bolts is limited to 25 ksi and the required factor of safety is 2.2, determine the minimum allowable bolt diameter.
If the normal stress in rod (1) is limited to 205 MPa and th…
If the normal stress in rod (1) is limited to 205 MPa and the required factor of safety is 2.4, determine the maximum load P that can be applied to rod (2). Let a = 0.49 m, b = 0.74 m, and the cross-sectional area of rod (1) be 210 mm2.
If the length of a timber [E = 1,800 ksi] column cannot chan…
If the length of a timber column cannot change by more than 0.020 in., determine the maximum load P that can be applied to the column. Let b = 4.25 in., d = 9.75 in., and L = 104 in.
A 3D printed polymer rod measures 175.00 mm in length while…
A 3D printed polymer rod measures 175.00 mm in length while on the heated print bed at 64.6°C. After cooling to room temperature at 22.0°C the rod measures 174.49 mm in length. Determine the coefficient of thermal expansion of the polymer.
A 3D printed polymer rod measures 154.00 mm in length while…
A 3D printed polymer rod measures 154.00 mm in length while on the heated print bed at 60.5°C. After cooling to room temperature at 20.4°C the rod measures 153.46 mm in length. Determine the coefficient of thermal expansion of the polymer.
If rod (1) elongates 0.244 mm and rod (2) elongates 0.339 mm…
If rod (1) elongates 0.244 mm and rod (2) elongates 0.339 mm, determine how far downward E moves. Let a = 0.31 m and b = 0.83 m.