Question

An L5x5x1/2 tension member of A588 steel is connected to a gusset plate with ¾-in diameter bolts as shown in Figure 1. Assume block shear is not a concern. Use the alternative value of U from AISC Table D3.1

a.) The LRFD tension rupture strength (Pn) of the member is?

b.) The LRFD tension strength (Pn) of the member is?

L5x5x22 OOOOOO 1S w befo-soprano-belim 5 spaces @ 3" - = 15" Figure 1

Answer 1

Criven Fya 46 ksi Fu - 67 ksi (5x5x1/2 (Ay = 4.75 inz, Xa J=1.43 in) Pn = Fy Ag - 46 X 4.75 Pn = 218.5 ksi a) Crross section yielding ERP += 0.9 P = 0.9 x 218.5 = 196.65 K To Os Pn = 196.65k 6] Tensile rupture strength. An=4.75 - 1X ( 8 2 + + 3 ) x + 2 4.3125 in? Length of connection LC is in U21- el- 1.43 , 0.9 15 Ofrom AISC table D-3.1, 1U = 0.8 Aez Anu = 4.31 X0.8 Ae z 3.448 in27

Prz Fu Ae 2 67 x 3.448 Pn 2 231.016 K | (442 0-75) 0.75 X 231,016 PtPn ² 173.262k] ..] The LRFD tension rupture strength (Pn) = 231.016 K 2] The LRFD Tension strength (Pn) = 218.5 k