The idler pulley mechanism shown in Figure P4.12 must support belt tensions of P = l30 lb. Rigid bar ABC is supported by rod (1), which has a diameter of 0.188 in. and a yield strength of 35,000 psi. Rod (1) is connected at A and B with 0.25 in. diameter pins in double-shear connections. A 0.25 in. diameter pin in a singleshear connection holds rigid bar ABC at support C. Each pin has an ultimate shear strength of 42,000 psi. Overall dimensions of the mechanism are a = 12 in., b = 9 in., c = 7 in., and d = 3 in. Determine (a) the factor of safety for rod (1) with respect to its yield strength. (b) the factor of safety for pin B with respect to its ultimate shear strength. (c) the factor of safety for pin C with respect to its ultimate shear strength.
The idler pulley
support belt tensions of P = l30 lb. Rigid bar ABC is supported by
rod (1), which has a diameter of 0.188 in. and a yield strength of
35,000 psi. Rod (1) is connected at A and B with 0.25 in. diameter
pins in double-shear connections. A 0.25 in. diameter pin in a singleshear
connection holds rigid bar ABC at support C. Each pin has an
ultimate shear strength of 42,000 psi. Overall dimensions of the
mechanism are a = 12 in., b = 9 in., c = 7 in., and d = 3 in. Determine
(a) the factor of safety for rod (1) with respect to its yield strength.
(b) the factor of safety for pin B with respect to its ultimate shear
strength.
(c) the factor of safety for pin C with respect to its ultimate shear
strength.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps