Structural Steel Design (6th Edition)
6th Edition
ISBN: 9780134589657
Author: Jack C. McCormac, Stephen F. Csernak
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 3.35PFS
Determine the LRFD design strength and the ASD allowable strength of the sections given, including block shear.
3-35. A
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6) Calculate the shear lag reduction factor, u, for the spliced W-shape tension member shown. Hint:
you can treat the wide flange section like two WT6x25s.
|
W12x50
H
THE
3" 3"
Typical
Splice Plate
TH
HHHH
-Splice Plate
W12x50
3. Segui Text Problem 3.5-1 (Modified)
Compute the nominal block shear strength of the tension member shown in
Figure P3.5-1. ASTM A572 Grade 50 steel is used. The bolts are 1" inch
3.5-1
in diameter.
L4 X 4 X 1/2"
2'4"
--
1½2"
3"
1/2"
FIGURE P3.5-1
3.5-1
Block Shear
The tension member is a PL38 x 5¹2 of A242 steel. It is connected to a 38-in. thick
gusset plate, also of A242 steel, with 3/4-inch diameter bolts as shown in Figure P3.5-1.
Determine the nominal block shear strength of the tension member.
1½"
2½"
1/2"
01 02
1½"
3"
FIGURE P3.5-1
3"
1½"
115
3.5-1
the shear areas are
Agv = (3/8) (7.5) 2-5.625 in.²
and, since there are 2.5 hole diameters in each line of bolts,
Av = (3/8)[7.5-2.5(3/4+1/8)]2= 3.984 in.²
The tension area is
Am = (3/8) [2.5-17/8)] = 0.6094 in.²
Fy= 50 ksi, F, = 70 ksi
R₁ = 0.6F₂Anv + Ubs FuAnt = 0.6(70) (3.984) + 1.0(70) (0.6094) = 210 kips
Check upper limit:
0.6F Agv + Ubs FuAnt = 0.6(50) (5.625) + 1.0(70) (0.6094)
= 211 kips > 210 kips
Chapter 3 Solutions
Structural Steel Design (6th Edition)
Ch. 3 - Prob. 3.1PFSCh. 3 - Prob. 3.2PFSCh. 3 - Prob. 3.3PFSCh. 3 - Prob. 3.4PFSCh. 3 - Prob. 3.5PFSCh. 3 - Prob. 3.6PFSCh. 3 - Prob. 3.7PFSCh. 3 - Prob. 3.8PFSCh. 3 - Prob. 3.9PFSCh. 3 - Prob. 3.10PFS
Ch. 3 - Prob. 3.11PFSCh. 3 - Prob. 3.12PFSCh. 3 - Prob. 3.13PFSCh. 3 - Prob. 3.14PFSCh. 3 - Prob. 3.15PFSCh. 3 - Prob. 3.16PFSCh. 3 - Prob. 3.17PFSCh. 3 - Prob. 3.18PFSCh. 3 - Prob. 3.19PFSCh. 3 - Prob. 3.20PFSCh. 3 - Prob. 3.21PFSCh. 3 - Prob. 3.22PFSCh. 3 - Prob. 3.23PFSCh. 3 - Prob. 3.24PFSCh. 3 - Prob. 3.25PFSCh. 3 - Prob. 3.26PFSCh. 3 - Prob. 3.27PFSCh. 3 - Prob. 3.28PFSCh. 3 - Prob. 3.29PFSCh. 3 - Prob. 3.30PFSCh. 3 - Prob. 3.31PFSCh. 3 - Prob. 3.32PFSCh. 3 - Prob. 3.33PFSCh. 3 - Prob. 3.34PFSCh. 3 - Determine the LRFD design strength and the ASD...Ch. 3 - Prob. 3.36PFSCh. 3 - Prob. 3.37PFS
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