Question

This problem consists of six questions. The aluminum (E = 10,000,000 psi) cantilever beam shown below is fixed at A and free at D. The beam subjected to a concentrated moment at D and a point load at C. 1.5" 100 lb 1500 lb-in 3.5" 30 in 42 in 50 in 22 in 0.5" 72 in Cross-section 1-5.36 in In the questions below, maximum means maximum in magnitude. Include the negative sign to indicated compression. Question 1 10 pts Determine the maximum moment in the beam to the nearest Ib-in. Draw the bending moment diagram in your supporting calculations. Question 2 10 pts Determine the maximum shear in the beam to the nearest whole lb. Draw the shear diagram in your supporting calculations. Question 3 10 pts Determine the maximum normal (flexural) stress in the beam to the nearest whole psi. Question 4 10 pts Determine the maximum shear stress in the beam to the nearest whole psi.

Answer 1

- [E = 100 x 105 psi) : 100lb . MG Į og 15001ba,n kligt nyx RAR TK. 3.5" II = 5:36 h I = 5136 ) bending sheer stren shen [RA = FS MAZD; loollo MAE roo(50) -1500 IMA = 500 lb-in 0 Maximum moment at A = 3500 160 T 1500lbin C.::. D moment Bending : diagram 500 3500 V :: Ä = 100lb. sheer at . 1) maximum force Diagram 100db ...sheal 67 ... V normal stress (max): at top bottom. dors. 35000 1.75 lblin max- 536 . * "max = 1142.72 lbline max. sheer stress (max) : at Neletrol Axis (RA). AT ) = 100x[1.5x1.75x1757 . 5036 X 1.5 . moyo . .. Ib.' 1 *Tmax = 28.57 ebling