Chapter 14, Problem 74RP

Determine the diameter of the largest circular hole that can be punched into a sheet of polystyrene 6 mm thick, knowing that the force exerted by the punch is 45 kN and that a 55-MPa average shearing stress is required to cause the material to fail.

For the state of stress shown, it is known that the normal and shearing stresses are directed as shown and that σx = 15.5 ksi, σy = 9 ksi, and σmin = 5 ksi. Determine the orientation of the principal planes. Determine the principal stress σmax. Determine the maximum in plane shearing stress

A chain block is hanged on a pin which is supported by plates on both side as shown. If the maximum safe load capacity is 3000 lb, determine (a) the shearing stress on the shaft having a diameter of 1.75 in. (b) and the thickness of the plates if the bearing stress on the plates is 20% greater than the shearing stress.

The solid spindle AB is made of a steel with an allowable shearing stress of 12 ksi, while sleeve CD is made of a brass with an allowable shearing stress of 7 ksi. Determine (a) the largest torque T that can be applied at A if the allowable shearing stress is not to be exceeded in sleeve CD, (b) the corresponding required value of the diameter ds of spindle AB

Two solid brass rods AB and CD are brazed to a brass sleeve EF. Determine the ratio d2/d1 for which the same maximum shearing stress occurs in the rods and in the sleeve.

For the state of stress shown, it is known that the normal and shearing stresses are directed as shown and that σx= 14 ksi, σy= 9 ksi, and σmin= 5 ksi. Determine (a) the orientation of the principal planes, (b) the principal stress σmax, (c) the maximum in-plane shearing stress

Shafts AB and BC are solid, and are exposed to torques that are connected to an elevator.From the loading shown, determine (a) The maximum shearing stress in shaft AB, (b) The maximum shearing stress in shaft BC (c) The smallest diameter of shaft AB for which the maximum value of the shearing stress in the assembly will not increase

a) For the 3-in.-diameter solid cylinder and loading shown, deter-mine the maximum shearing stress. (b) Determine the inner diameter of the 4-in.-diameter hollow cylinder shown, for which the maximum stress is the same as in part a.

a steel rod AB with the diameter of 5.8in is inserted into a circular hole at the end C of th wooden component CD. for the loading shown determine the ff:a. the maximum normal stress in the wood psib. the distance b(inches) for which the shearing stress is 100 psi on the surface indicated by the dash linesc. the bearing stress on thw wood psi.