fundamentals of engineering supplied-reference handbook - Ventech!
fundamentals of engineering supplied-reference handbook - Ventech!
fundamentals of engineering supplied-reference handbook - Ventech!
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124<br />
CIVIL ENGINEERING (continued)<br />
BEAM-COLUMNS: Sidesway prevented, x-axis bending, transverse loading between supports (no moments at ends),<br />
ends unrestrained against rotation in the plane <strong>of</strong> bending<br />
Pu<br />
φ Pn<br />
Pu<br />
φ Pn<br />
≥ 0.<br />
2:<br />
< 0.<br />
2:<br />
where:<br />
Mu = B1 Mnt<br />
Cm<br />
B1 =<br />
P<br />
1 −<br />
P<br />
LRFD<br />
Pu<br />
8 M u +<br />
φ Pn<br />
9 φ M n<br />
≤<br />
Pu<br />
M u + ≤<br />
2φ<br />
Pn<br />
φ M n<br />
u<br />
ex<br />
≥ 1.0<br />
1.<br />
0<br />
1.<br />
0<br />
Cm = 1.0 for conditions stated above<br />
⎛ 2 ⎞<br />
Pex = ⎜<br />
π E I x ⎟ x-axis bending<br />
⎜ 2 ⎟<br />
⎝ ( KLx<br />
) ⎠<br />
f<br />
F<br />
a<br />
a<br />
f<br />
F<br />
a<br />
a<br />
where:<br />
> 0.<br />
15<br />
≤ 0.<br />
15<br />
ASD<br />
fa<br />
Cm<br />
fb<br />
: +<br />
≤ 1.<br />
0<br />
Fa<br />
⎛ f ⎞<br />
⎜ a 1 −<br />
⎟ Fb<br />
⎝ Fe′<br />
⎠<br />
f a f b<br />
: + ≤ 1.<br />
0<br />
F F<br />
a<br />
b<br />
Cm = 1.0 for conditions stated above<br />
F′ e =<br />
23(<br />
12π<br />
KL<br />
2<br />
E<br />
x /rx<br />
)<br />
2<br />
x-axis bending<br />
BOLTED CONNECTIONS: A325 bolts db = nominal bolt diameter Ab = nominal bolt area<br />
s = spacing between centers <strong>of</strong> bolt holes in direction <strong>of</strong> force<br />
Le = distance between center <strong>of</strong> bolt hole and edge <strong>of</strong> member in direction <strong>of</strong> force<br />
t = member thickness<br />
Dh = bolt hole diameter = db + 1 /16" [standard holes]<br />
Bolt tension and shear strengths:<br />
LRFD<br />
Design strength (kips / bolt):<br />
Tension: φRt = φ Ft Ab<br />
Shear: φRv = φ Fv Ab<br />
Design resistance to slip at factored loads<br />
( kips / bolt ): φRn<br />
Bolt strength<br />
Bolt size<br />
3/4" 7/8" 1"<br />
φRt 29.8 40.6 53.0<br />
φRv ( A325-N ) 15.9 21.6 28.3<br />
φRn (A325-SC ) 10.4 14.5 19.0<br />
φRv and φRn values are single shear<br />
ASD<br />
Design strength ( kips / bolt ):<br />
Tension: Rt = Ft Ab<br />
Shear: Rv = Fv Ab<br />
Design resistance to slip at service loads<br />
(kips / bolt): Rv<br />
Bolt strength<br />
Rv values are single shear<br />
Bolt size<br />
3/4" 7/8" 1"<br />
Rt 19.4 26.5 34.6<br />
Rv ( A325-N ) 9.3 12.6 16.5<br />
Rv ( A325-SC ) 6.63 9.02 11.8
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