5.15 A beam in bending has the cross section of an L3 × 2 × 0.25 in unequal leg steel angle. A bending moment of M, = 2 kip-in is transmitted about the z axis as shown in part (a) of the figure. From a handbook the following is Y 2000 lb-in Y (a) (b) Beam section Handbook section definition 1.19 in?, x = 0.493 in, y = 0.993 given based on part (b) of the figure: area = in, Ix = 1.09 in“, Iy = 0.392 in“, rz = 0.435 in, and tan a = 0.440, where Z-Z is a principal axis and rz is the radius of gyration of the cross section relative to the Z-Z axis. Determine the location and magnitudes of the maximum ten- sile and compressive bending stresses.

Consider the truss structure in the figure below. All diagonal members have axial stiffness EA, while the chord members have axial stiffness of 2EA.  Using unit load method, find the vertical deflection at joint B. Feel free to use a spreadsheet to help with the tedious calculations, but please be sure the calculation steps are well set out.

Two torque as shown are applied on a compound shaft of aluminum segment and a steel. Determine the maximum permissible value of T subjected to the following conditions: T, s 90MPA, T. S 65MPA and the angle of rotation of the free end limited to 11°. Use GS 84 GPa and Ga = 27 GPa. %3D %3D 75 mm Aluminum Steel 50 mm 2 m 1.5 m

Please write the solution on paper.

A frame has dimensions and loadings as shown in the figure and parameter table. Determine the horizontal and vertical support reactions that the pins exert on the frame at A and C. Take postive directions to be to the right, and up. 080 BY NO SA 2021 Cathy Zupke parameter Force Ax Force Ay= Force Co = Force Cy= = W L₁ L2 A value 1 3 4.5 -L₂- units kN/m m m KN KN KN KN C B W

Calculate the S and Z values about the horizontal axis for the beam section shown below Hie To calculate Z, split the section into the top half and bottom half. Then identify the centroid ef each half and the distance between them. Then half of the area times this distance between t centroids gives you Z. To find S, simply find the moment of inertia and divide it by the die from neutral axis to the extreme fiber.