9. For the beam in problem 6, what is the magnitude of the t…

9. For the beam in problem 6, what is the magnitude of the transverse shear stress in Segment 1 (0 < x < 1 m) at a location on the square cross section where the I = 8∙10-10 m4, Q = 1.25∙10-7 m5, the height and width of the square cross-section are 0.01 m.  Show all your work and calculations. Upload together with other solved problems at the end of this exam. 

12. A point in a structure sees the following stresses σx =…

12. A point in a structure sees the following stresses σx = 1 ksi, σy = 2 ksi, σz = 3 ksi. What are the associated strains εx, εy, εz, knowing the modulus of elasticity is 30ksi and Poisson’s ratio is 0.3. If for a different point in the same structure with the same material, the strains are εx = 0.001, εy = 0.002, εz = 0, what are the σx, σy, σz stresses at that point?

6. Draw the moment diagram for the beam subjected to the loa…

6. Draw the moment diagram for the beam subjected to the loading conditions shown in the Figure below. Note that the shear diagram is provided. Indicate the moment values throughout the beam. For each segment, specify the moment value at the beginning and end of the segment. Also, specify the moment value at any peak(s). Specify the x-location of any peak(s). Show if the curves are concave up or concave down. If this is difficult to illustrate on your diagrams, make a side note to clarify. Show all your work and calculations. Upload together with other solved problems at the end of this exam. 

5. Draw the shear diagram for the beam subjected to the load…

5. Draw the shear diagram for the beam subjected to the loading conditions shown in the Figure below. Specify the shear value throughout the beam. If the shear value changes through a segment, call out the beginning and end values of the shear on that segment. If the shear value is zero at a point in a segment, specify the location where that occurs. Show all your work. Upload together with other solved problems at the end of this exam.