etermine the LRFD design strength of the member below, A 36 Steel, 7/8-in bolts:
ID: 1711787 • Letter: E
Question
Explanation / Answer
ASTM A36
Fy= 36 ksi
Fu= 58 ksi
L 6X3 1/2 X 3/8 PROPERTIES
Ag = 3.42 in2
rz =0.763 in
y(bar) 2.02 in
x (bar) =0.781 in
tensile yielding
Pn = Fy*Ag = 36*3. 42 = 123.120kips
LFRD
t = 0.9
t Pn= 0.9*123.12=110.8 kips
U= 1- X(BAR)/l = 1- .781/8 = 0.9023
An= Ag - (dh + 1/16) t = 3.42 -(7/8 +1/16)3/8 =3.068 in2
Ae = An *U= 3.068*0.9023=2.7686 in2
Pn= Fu * Ae = 58*2.7686 =160.58 kips
t = 0.75
t Pn= =0.95*160.58 =120.43 kips
Available tensile strenght is governed by the tensile yielding limit state
design strength is 110.8 kips
thanks
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