Question

1. The part shown consists of a bent rod with a solid circular cross section of diameter 20 mm. Consider the cross- section on a cut at both a-a, and b-b. 400 mm A] For each cut, label the shear force, bending moments, and torsion moments. Then determine the critical point with the highest normal stress at each cross- section. No stress calculations are required. /100 mm 1 BJ Determine the point of highest normal stress for the bent rod in the figure. 300 mm Cj Calculate all the stresses at that point. 200 mm D] Show all the nonzero stresses on a properly oriented stress element at that point. Ej Use Mohr's Circle to determine all three principal stresses and the maximum shear stress at that point. TD 400 N 800 N

Answer 1

(A). m this part it is specifically mentioned that we have to only calculate forces, not stresses. firstly, come at cross seaction a-a . (i). Due to load Soon 4 - There will be a francuerce Shear force of foon to - and a bending moment of 800x800 = 160000N-mm (ii). Due to your load - There will be a constant twisting Moment of, 400x200 = 80000 N-mm magnithe - and a Bending moment of You X 200 - 80000 N-mm

So the fince forces at reaction a-a Shear force = goon (doonward) lateral shear force - YouN SooooN.my 80000 N-nm Twisting moment or Cabout XX) = 60000 N-mm 22 YOON 6. B.M. (22) = 160000 mm SOON BM (YY) = 80000 N-mm Crectionaa) 160000 vy N-mm Now, at section B-B (1). Due to load soon Transverse snear force = soon Twisting moment = 800x300 sexo - 240000 kN-mm B.M. = 800 x 400 - 380000 pp-mm (ii). Due to load your Direct Normle force - yoon constant B.M. = 400 x 300 = 120000 PN-mm constant BM = 400x800 = 100000 KN-my

a 120000 ku-mm yeyoooo kau mm x 120000lehen e Bravolanmm YOUN V. SOON (section - bb)