3. A 65 mm diameter solid shaft is subjected to force and torque as shown in the figure below. Consider the cross-section with elements H and K. a) Determine the stress state of an element at point H. b) Determine the values and orientations of principal stresses and the maximum in-plane shear stresses at point H using Mohr's circle. c) Determine the absolute maximum shear stress at point H using Mohr's circle. State your assumption if any.

1- The shaft shown in the below Fig. consists of a 75-mm diameter aluminum segment rigidly joined to a 50-mm diameter steel segment. The ends of the shaft are attached to rigid supports. Calculate the maximum shear stress developed in each segment when the torque T = 1130 N.m. is applied. Use G = 28 GPa for aluminum and G = 83 GPa for steel. %3D %3D Aluminum Steel 75 mm diameter 50 mm diameter 1130 N.m Tal 1st 2 m 1 m

4. An alloy steel bar with a yield stress of 250 MPa and Young's modulus of 200 GPa, is loaded and supported as shown in Figure Q4. The loading collar at B is free to slide on section BC. The diameters of sections AB and CD are 30 mm and the diameter BC is 20 mm. Determine: a) The normal stresses in each section of this alloy steel bar. b) If the maximum stress in the alloy steel bar can be considered as the allowable stress, what is the factor of safety for this bar? c) The horizontal displacement of point C relative to point 4. 4m 30KN 30KN 2m 3m 100KN -80KN Figure Q4 [Ans: a) GAB= 56.6 MPa (C), σBC = 63.7 MPa (T), 6cp= 113.2 MPa (C); b) F.S = 2.2; c) dc = -0.493 mm]

Please I need help. This problem involves torsional strain. Thank you.

A shaft composed of three segments and fastened to rigid supports. Determine the maximum shear stress developed in each segment. (Please don't skip any mathematical step and please show all the working)

A solid shaft is subjected to forces and a torque as shown in figure. The diameter of the shaft is 35 mm, T=75 N.m., V=3 kN, P=4,7 kN and L=117 mm. Determine the normal stress in x-direction (o) at point H (MPa). Determine the shear stress (T) at point H (MPa). Determine the maximum principal stress (Omax) at point H (MPa). Determine the minimum principal stress (0min) at point H (MPa). Determine the magnitude of the maximum in-plane shear stress (Tmax) at point H (MPa). Determine one of the angles for the principal planes (6,) at point H (degree). Determine one of the angles for maximum shear planes (0,) at point H (degree).

In the crank arm of the figure, two loads P act as shown: one parallel to the x axis and another parallel to the y axis. Each load P equals 1.2 kN. The crankshaft dimensions are b1=75mm, b2=125mmand b3=35mm. The diameter of the upper shaft is 22mm Draw the stresses acting on the stress element A b) Determine the maximum tensile, compressive, and shear stresses at point A, which is located on the surface of the shaft at the z axis c) Draw the stresses acting on the stress element B d) Determine the maximum tensile, compressive, and shear stresses at point B, which is located on the surface of the shaft at the y axis

For each of the plane stress states listed below, draw a Mohr's circle diagram properly labeled, find the principal normal and shear stresses, and determine the angle from the r axis to of. Draw stress elements as in Figure 3-11c and d and label all details. a.) sigma,x = - 12 kpsi, sigma,y = 22 kpsi, txy = 12 kpsi cw b.) sigma,x = 30 kpsi, sigma,y = -10 kpsi, txy = 10 kpsi ccw c.) sigma,x = -10 kpsi, sigma,y = 18 kpsi, txy = 9 kpsi cw Attached is an image of Figure 3-11c and d for example. THIS IS THE ONLY INFORMATION I AM PROVIDED WITH! Thank you for the help in advance!

Q4. A shaft of solid circular cross section consisting of two segments is shown in the first part of the figure. The left-hand segment has diameter 80 mm and length 1.2 m; the right-hand segment has diameter 60 mm and length 0.9 m. Shown in the second part of the figure is a hollow shaft made of the same material and having the same length. The thickness t of the hollow shaft is d/10, where d is the outer diameter. Both shafts are subjected to the same torque. If the hollow shaft is to have the same torsional stiffnesses the solid shaft, what should be its outer diameter d?

A metal shaft ABCD with variable cross-section is subjected to three external torques (T₁=28 kip- in, T2=8 kip-in, and T3=10 kip-in) as shown in the figure below. Each torque is acting at the locations marked with circular points along the shaft. Note that a 16-inch long segment of the shaft at the free end (right) has a 1-inch diameter bore. The dimensions (lengths and diameters) of the shaft are given in the figure. Assume deformation is linear elastic and take G=12×106 psi. D [3" 16"- X C T₁ 2" -32"- T₂ 1" diam. bore B -16"- A T3 the bar has a uniform diameter d along its full length, but external torques remain the same and are applied at the same locations. If the failure shear stress for the material is equal to Tfail = 10 ksi, and the factor of safety is equal to 2, determine the required (uniform) diameter d for the bar. Assume that the bar is solid for its entire length.