Check the following beam to determine if it is sufficient fo

Check the following beam to determine if it is sufficient for biaxle bending. (25 points) a. W10x45, ASTM A992 (web is vertical) b. Span 20 ft c. Mid span vertical point load of 10 kips, d. Unbraced length Lb 10 ft e. Assume Cb-1.0 f. Support condition is pinned at each end. g. Use ASD method. h. Do not perform shear or deflection check. i. Ignore selfweight. mid span horizontal point load of 3 kips.

Solution

moment at midspan due to vertical point load = 10*20/4=50 kip-ft

moment at midspan due to horizontal load = 3*20/4=15 kip-ft

moment capacity of W10x45 about major axis for unbraced length of 20 ft = 137-[(137-85.8)/(26.9-7.1)]*(20-7.1)=103.6 kip-ft

moment capacity of beam about minor axis = 50.6 kip-ft

therefore, from interaction check, (50/103.6)+(15/50.6)=0.78<1

Therefore, section is adequate