All problems are to be done according to the AISC Steel Cons

All problems are to be done according to the AISC Steel Construction Manual, 14^th Edition. Assume fastener strength is adequate and does not control. All holes are standard punched holes. Values of yield stress F_Y and tensile strength Fu are available in AISC p. 2-48. When the load is transmitted through some but not all cross-sectional elements be sure to use the correct shear lag reduction coefficient U according to AISC Specifications D3.3 to compute the effective net area A_c. A miscellaneous channel MU C 12 times 35 (from page 1-38 A_g=10.3 in^2, t_w=0.465 in., X =1.05 in.) A36 steel section is to be used as a tension member. It is connected using nine 7/8 -inch diameter bolts in standard holes punched on three gage lines and spaced 4 inches on centers on each gage line in the web of the MU C section as shown. Consider the limit states of gross section yielding (GSY) and net section fracture (NSF). Compute LRFD useful design strength Phi P_n according to GSY and NSF (Note that for NSF through 2 holes without stagger only (8/9)*T will be transmitted.). Compute also the ASD allowable load P_n/Ohm according to GSY and NSF. If the tension load T is 20 percent dead load and 80 percent live load, what is the allowable load T according to LRFD and according to ASD design philosophies?

Solution

Given,

dimensions as

2.5,3.5,3.5,2.5

12*35

1.5,2,2,2,2,2

the givn data is not sufficient to solve the problem