3.5-1 Block Shear The tension member is a PL3 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" 1/2" O -O 1/4" 3" NO 0- 3" 1½" FIGURE P3.5-1 3.5-1 the shear areas are Agv (3/8) (7.5) 25. 625 in.² = and, since there are 2.5 hole diameters in each line of bolts, (3/8)[7.5-2.5(3/4+1/8)] x 23.984 in.² Am The tension area is Ant F, R W (3/8)[2.5-1(7/8)] = 0.6094 in.² 50 ksi, F = 70 ksi 0.6FA+ UFAar 0.6(70)(3.984) +1.0(70) (0.6094) 210 kips - Check upper limit: 0.6F,Agr + UsFuAm = 0.6(50) (5.625) + 1.0(70)(0.6094) - 211 kips > 210 kips
3.5-1 Block Shear The tension member is a PL3 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" 1/2" O -O 1/4" 3" NO 0- 3" 1½" FIGURE P3.5-1 3.5-1 the shear areas are Agv (3/8) (7.5) 25. 625 in.² = and, since there are 2.5 hole diameters in each line of bolts, (3/8)[7.5-2.5(3/4+1/8)] x 23.984 in.² Am The tension area is Ant F, R W (3/8)[2.5-1(7/8)] = 0.6094 in.² 50 ksi, F = 70 ksi 0.6FA+ UFAar 0.6(70)(3.984) +1.0(70) (0.6094) 210 kips - Check upper limit: 0.6F,Agr + UsFuAm = 0.6(50) (5.625) + 1.0(70)(0.6094) - 211 kips > 210 kips
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Please show solutions on how to get the 7.5 and 2 value. The circle green in the figure.
Civil engineering- steel design
![3.5-1
Block Shear
The tension member is a PL¾8 X 5¹2 of A242 steel. It is connected to a 38-in. thick
gusset 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"
ro
2¹2"
O
1
1½" I
1½"
3"
O
O
O o
FIGURE P3.5-1
O-
14
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)] x 2 = 3.984 in.²
The tension area is
Ant = (3/8) [2.5-1(7/8)] = 0.6094 in. ²2
Fy= 50 ksi, Fu = 70 ksi
Rn 0.6FuAny + Ubs FuAnt
=
=
0.6(70) (3.984) + 1.0(70) (0.6094) = 210 kips
Check upper limit:
0.6FyAgv + UbsFuAnt = 0.6(50)(5.625) + 1.0(70)(0.6094)
= 211 kips > 210 kips](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd26af165-a48a-4025-869b-89b03c48d51c%2F08e630f7-bcf5-4124-bdc2-7245715994fd%2Fprgxnzj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.5-1
Block Shear
The tension member is a PL¾8 X 5¹2 of A242 steel. It is connected to a 38-in. thick
gusset 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"
ro
2¹2"
O
1
1½" I
1½"
3"
O
O
O o
FIGURE P3.5-1
O-
14
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)] x 2 = 3.984 in.²
The tension area is
Ant = (3/8) [2.5-1(7/8)] = 0.6094 in. ²2
Fy= 50 ksi, Fu = 70 ksi
Rn 0.6FuAny + Ubs FuAnt
=
=
0.6(70) (3.984) + 1.0(70) (0.6094) = 210 kips
Check upper limit:
0.6FyAgv + UbsFuAnt = 0.6(50)(5.625) + 1.0(70)(0.6094)
= 211 kips > 210 kips
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning