Question

1) For the figure below find the following (show all work and label diagrams completely): 4) Draw internal force diagrams for the bearm ABC b) Cut beam ABC at the critical stress location and show the internal forces acting on the cut c) Neglecting holes and stress concentrations, find the critical stress cube and element SECTION E-E 30 48 12,000 lbf 2) For the figure below the shaft is supported by simple suppedts at the ends, find the following (show all work and label diagrams completely): Draw internal force diagrams for the shaft with respect to given coordinate system ) Cut the shaft at-44" and show the internal forces acting on the cut c) Neglecting stress concentrations, find the stress cube and element at d) Neglecting stress concentrations, find the stress cube and element at (44,1, o) (44,6,-1)

Answer 1

Answer: (a) 9= tant en el 0= 29.7459 podolof Ak Buin 1 960 Take A moment about Tho Sing x 84 = 1000 x (84 +96) 1 TBD = 4319 .0509 lbf | Ax = TBoloso = 3749.982 lbf] Epy zo Ay 4 Top sino = 1000 Ay = 1000 - Toosing Ay = -1142. 857 lbf

1000 lbf Axial load AX 1000 S.F.D - 1142.85 296.000 lbf-in SFC = 1000 lbf SFB = 1000 - Tep Sino =-1142857 B Me=0 B MA=0 B Me = 10oox 96 BH= -96000 lbf Mmax at B

tooted Bending stress ob= Monad xy I = ba? of = 96000 x2 10.667 ob = 17.99ksi od= Ax Avea = 3709.982 I = 10.664 int ย 2 2 0 Area (A) = 4x2 Sin2 od = 0.468 KSE exy = vay IB = 1142.85784x1 10. 66782 Exy = 0.214 ksi

ya=Qx2 = 410² lin. A--- B =2 in V=5.FB x = 1142.857 lbf A o obtod.