3.5-1Block ShearThe tension member is a PL¾8 X 5¹2 of A242 steel. It is connected to a 38-in. thickgusset plate, also of A242 steel, with ¾-inch diameter bolts as shown in Figure P3.5-1.Determine the nominal block shear strength of the tension member.1½"ro2¹2"O11½" I1½"3"OOO oFIGURE P3.5-1O-143" 1½"3.5-1the shear areas areAgv = (3/8) (7.5) 2 5. 625 in. ²and, since there are 2.5 hole diameters in each line of bolts,Any (3/8) [7.5-2.5(3/4+1/8)] x 2 = 3.984 in.²The tension area isAnt = (3/8) [2.5-1(7/8)] = 0.6094 in. ²2Fy= 50 ksi, Fu = 70 ksiRn 0.6FuAny + Ubs FuAnt==0.6(70) (3.984) + 1.0(70) (0.6094) = 210 kipsCheck upper limit:0.6FyAgv + UbsFuAnt = 0.6(50)(5.625) + 1.0(70)(0.6094)= 211 kips > 210 kips

The tension member is a PL.3 x 5% of A242 steel. It is connected to a 3-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" 1/4" O 1/4" 3" NO O 00 0- FIGURE P3.5-1 Пи 3" 1½" 3.5-1 the shear areas are Agy(3/8) (7.5) 2= 5.625 in.² and, since there are 2.5 hole diameters in each line of bolts, Amv = (3/8)[7.5-2.5(3/4 + 1/8)] x 23.984 in.² The tension area is Ant F, R (3/8) [2.5-1(7/8)] = 0.6094 in.2 50 ksi, F, -70 ksi 0.6FA+ UFA 0.6(70)(3.984) + 1.0(70) (0.6094) 210 k = Check upper limit: 0.6F,Agy+UtsFuA = 0.6(50)(5.625) + 1.0(70)(0.6094)

The tension member is a PL.3 x 5% of A242 steel. It is connected to a 3-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" 1/4" O 1/4" 3" NO O 00 0- FIGURE P3.5-1 Пи 3" 1½" 3.5-1 the shear areas are Agy(3/8) (7.5) 2= 5.625 in.² and, since there are 2.5 hole diameters in each line of bolts, Amv = (3/8)[7.5-2.5(3/4 + 1/8)] x 23.984 in.² The tension area is Ant F, R (3/8) [2.5-1(7/8)] = 0.6094 in.2 50 ksi, F, -70 ksi 0.6FA+ UFA 0.6(70)(3.984) + 1.0(70) (0.6094) 210 k = Check upper limit: 0.6F,Agy+UtsFuA = 0.6(50)(5.625) + 1.0(70)(0.6094)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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