Questions from Mechanics

Q: The stresses on an element are σx = 1000 psi, σy

The stresses on an element are σx = 1000 psi, σy = 500 psi, and Ï„xy = 350 psi. Find the stresses acting on an element oriented at an angle θ = 25Â&d...

Q: The stresses acting on element A on the web of a train

The stresses acting on element A on the web of a train rail (see figure part a) are found to be 6500 psi tension in the horizontal direction and 18,500 psi compression in the vertical direction (see f...

Q: Solve the preceding problem if the stresses acting on element A on

Solve the preceding problem if the stresses acting on element A on the web of a train rail (see figure part a of Problem 5) are found to be 40 MPa in tension in the horizontal direction and 160 MPa in...

Q: A simply supported wood beam is subjected to uniformly distributed load q

A simply supported wood beam is subjected to uniformly distributed load q. The width of the beam is 6 in. and the height is 8 in. Determine the normal stress and the shear stress at point C. Show thes...

Q: The stresses acting on element B on the web of a train

The stresses acting on element B on the web of a train rail (see figure part a of Problem 5) are found to be 5700 psi in compression in the horizontal direction and 2300 psi in compression in the vert...

Q: A stepped shaft with diameters D1 = 40 mm and D2 =

A stepped shaft with diameters D1 = 40 mm and D2 = 60 mm is loaded by torques T = 1100 Nm? (see figure). If the allowable shear stress at the stress concentration is 120 MPa, what is the smallest radi...

Q: A full quarter-circular fillet is used at the shoulder of

A full quarter-circular fillet is used at the shoulder of a stepped shaft having diameter D2 = 1.0 in. (see figure). A torque T = 500 lb-in. acts on the shaft. Determine the shear stress Ï„m...

Q: The stepped shaft shown in the figure is required to transmit 600

The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D1 = 100 mm. If the allowable shear str...

Q: A stepped shaft (see figure) has diameter D2 = 1

A stepped shaft (see figure) has diameter D2 = 1.5 in. and a full quarter-circular fillet. The allowable shear stress is 15,000 psi and the load T = 4800 lb-in. What is the smallest permissible diamet...

Q: A solid circular bar of copper (G = 4 5 GPa

A solid circular bar of copper (G = 4 5 GPa) with length L = 0.75 m and diameter d = 40 mm is subjected to pure torsion by torques T acting at the ends (see figure). (a) Calculate the amount of strain...