ΤΑ 7 m 15 kN/m + B -7 m C

For the stressed elements allocated to you, find the values and sketch the orientations:a) Maximum shear stress and the relative angle at which it occursb) Principle normal stresses and the relative angle at which they occurc) The stresses at a 40° rotation from the initial element orientationusing BOTH transformation equations AND Mohr’s circle.

Shafts A and B are made of the same material and have the same cross-sectional area, but A has a circular cross section and B has a square cross section. Determine the ratio of the maximum shearing stresses occurring in A and B (i.e., TA), respectively, when the two shafts are subjected to the same torque (TA= TB). Assume both deformations to be elastic. Refer to Table 3.1. 92 TA TB The ratio of the maximum shearing stresses occurring in A and B is 1.356

We are given the statically indeterminate structure shown in Figure 2. Apart from the loadings, member AB is also subjected to temperature effects. The cross-sectional depth of member AB is h = 12 in, and the thermal coefficient is aT= 5:10-6 /° F. We are also given that the effect of axial forces on the deformations can be NEGLECTED. 1 kip/ft 5 kip BV VVvvvwwW EI = 8:105 kip-ft2 EI = 106 kip-ft2 20 ft Figure 2 a) Establish a primary structure b) Establish the compatibility equation from which you will obtain the redundant force c) Determine the support reactions of the structure d) Determine the internal loading diagrams of the structure e) Determine the support reactions IF THE STRUCTURE IS ONLY SUBJECTED TO THE TEMPERATURE EFFECTS (and not the loads) AT: = 5 °F ÅT;= -5 °Fi