SOLUTIONS MANUAL FOR STEEL
DESIGN 6TH EDITION SEGUI
,Steel Design 6th Edition Segui Solutions Manual
CHAPTER 3 - TENSION MEMBERS
3.2-1
For yielding of the gross section,
A g 73/8 2. 625 in. 2 , P n F y A g 362. 625 94. 5 kips
For rupture of the net section,
A e 3/8 7 − 1 3 2. 180 in. 2
16
P n F u A e 582. 108 122. 3 kips
a) The design strength based on yielding is
t P n 0. 9094. 5 85. 05 kips
The design strength based on rupture is
t P n 0. 75122. 3 91. 73 kips
The design strength for LRFD is the smaller value: t P n 85. 1 kips
b) The allowable strength based on yielding is
P n 94. 5 56. 59 kips
t 1. 67
The allowable strength based on rupture is
P n 122. 3 61. 15 kips
t 2. 00
The allowable service load is the smaller value: P n / t 56. 6 kips
Alternate solution using allowable stress: For yielding,
F t 0. 6F y 0. 636 21. 6 ksi
and the allowable load is F t A g 21. 62. 625 56. 7 kips
For rupture,
F t 0. 5F u 0. 558 29. 0 ksi
and the allowable load is F t A e 29. 02. 180 63. 22 kips
The allowable service load is the smaller value 56. 7 kips
,3.2-2
For yielding of the gross section,
A g 63/8 2. 25 in. 2
P n F y A g 502. 25 112. 5 kips
For rupture of the net section,
A e A g 2. 25 in. 2
P n F u A e 652. 25 146. 3 kips
a) The design strength based on yielding is
t P n 0. 90112. 5 101 kips
The design strength based on rupture is
t P n 0. 75146. 3 110 kips
The design strength for LRFD is the smaller value: t P n 101 kips
b) The allowable strength based on yielding is
P n 112. 5 67. 4 kips
t 1. 67
The allowable strength based on rupture is
P n 146. 3 73. 2 kips
t 2. 00
The allowable service load is the smaller value: P n / t 67. 4 kips
Alternate solution using allowable stress: For yielding,
Ft 0. 6F y 0. 650 30. 0 ksi
and the allowable load is
FtAg 30. 02. 25 67. 5 kips
For rupture,
Ft 0. 5F u 0. 565 32. 5 ksi
and the allowable load is
F tAe 32. 52. 25 73. 1 kips
The allowable service load is the smaller value 67. 5
kips
, 3.2-3
For yielding of the gross section,
P n F y A g 503. 37 168. 5 kips
For rupture of the net section,
A n A g − A holes 3. 37 − 0. 220 7 1 2 holes 2.930 in. 2
8 8
A e 0. 85A n 0. 852. 930 2. 491 in. 2
P n F e A e 652. 491 161. 9 kips
a) The design strength based on yielding is
t P n 0. 90168. 5 152 kips
The design strength based on rupture is
t P n 0. 75161. 9 121. 4 kips
The design strength is the smaller value: t P n 121. 4 kips
Let P u t P n
1. 2D 1. 63D 121. 4, Solution is: D 20. 23
P D L 20. 23 320. 23 80. 9 kips P 80. 9 kips
b) The allowable strength based on yielding is
P n 168. 5 100. 9 kips
t 1. 67
The allowable strength based on rupture is
P n 161. 9 80. 95 kips
t 2. 00
The allowable load is the smaller value 80. 95 kips P 81. 0 kips
Alternate computation of allowable load using allowable stress: For yielding,
F t 0. 6F y 0. 650 30. 0 ksi
and the allowable load is
F t A g 30. 03. 37 101. 1 kips
For rupture,
F t 0. 5F u 0. 565 32. 5 ksi
and the allowable load is
F t A e 32. 52. 491 80. 96 kips
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