Question

This is a Structural Design (Steel) Problem (Segui 6th Ed.). I have identified the 2 colored paths as the paths that require the minimum strengths for finding the nominal strength. My trouble is computing the staggered and unstaggered holes. In addition to showing CLEAR and DETAILED steps in computing w_n, please show all steps and ANSWER question 3.4-2 (it is all one problem).
Two plates, each plate 1/2 in. thick 2" 3" 2" 2" 2" w_-sigma(d) sigma(s^24g)

Answer 1

GIVEN DATA ember Details Grade of Steel Gross area of section, Thickness of web A 36 10 in 2 1 in Connection Details Diameter of bolt, 3 in 4 3 in (along axis of member) 3 in (along transverse direction) Pitch of the bolts, Gage of the bolts CALCULATIONS For grade of steel, A 36 Yield stress 36 ksi Ultimate stress, 58 ksi Diamter of bolt hole 4 8 0.875 in Fracture in the net i) Fracture path 3 holes 0 stagger A, A-n(d,t) Net area 103 x 0.875 x 1.000 -7.375 in2 ii) Fracture path: 3 holes 2 staggers Net area AnAg-n (d,t+m(s'/4gxt) 103 x0.875x 3 /4x 3 )x 1.000 - 8.875 in Hence, net area, A7.375 in2 Nominal strength of net section is obtained as

: 58 x 7.375 427.8 kips