3.5-1 The tension member is a PL 3 x 5% of A242 steel. It is connected to a -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" 1½" O 70 1½ O 0+ 3" 3" FIGURE P3.5-1 O 1½" 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 Aur - (3/8) [2.5-7/8)] = 0.6094 in.² F, 50 ksi, F = 70 ksi - R = 0.6FAør + UFA 0.6(70)(3.984)+1.0(70) (0.6094) = 210 kips Check upper limit: 0.6F,Agv + UsFA=0.6(50)(5.625) + 1.0(70) (0.6094) = 211 kips > 210 kips.

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Chapter2: Loads On Structures
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Civil engineering- steel design

 

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"
316
2½"
1/2"
1½"
3"
FIGURE P3.5-1
3"
1½"
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,
Any = (3/8)[7.5-2.5(3/4 + 1/8)]2= 3.984 in.²
The tension area is
A = (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
Transcribed Image Text: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" 316 2½" 1/2" 1½" 3" FIGURE P3.5-1 3" 1½" 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, Any = (3/8)[7.5-2.5(3/4 + 1/8)]2= 3.984 in.² The tension area is A = (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
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