Question

3. A beam with a hollow circular cross section of outer diameter D and inner diameter d. The length Lis fixed at a wall. Consider the following loading conditions, all applied to the beam at the midpoint of length L. For each loading scheme state determine the magnitude of that stress in terms of the variables given in the problem). (5 points) i. ii. iii. iv. V. Normal stress due to axial load F Shear stress due to torque T Normal bending stress due to transverse load F Shear bending stress due to transverse load F Which is larger for this case, the normal or shear bending stress and why? 4. A cantilever beam shown below. Is made of 2014 Aluminum alloy with yield strength of 250 MPa. F2 is acting at the middle of the beam (60 mm from the wall). The designed safety factor is 4. F1-F2-1.50 KN. P=10 KN, T-100 N.m. you have two optional cross sections to consider. (1) A hollow tube as seen in figure (2) a solid round cross section. For each option what are the possible diameters. Use Table A-8 and spreadsheet in your solution. (5 Points)

Answer 1

11 Normal stress due to axial load F. - due To co?-d) Tooque Cod ) i shear to T=T+% 5 2 2 Cond") TC09-09) 16TO Toy_d") T - E 1) Noomal bending due to Taeverse load F-4 5o= MY SM=Fx ( IT60909) F on FX Y x ² 4 = 8% TOG CO9-d14) - = 16FLD (6-19) in shear bending GE & here max shear bending will be Tmax=296 - 2) - from ea (1) & ad Shear beading is Twice compare to Nonnal stress as shown