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SOLUTION MANUAL FOR Steel Design 7th Edition Segui

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, SOLUTION MANUAL FOR Steel Design 7th Edition Segui

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, STEEL DESIGN [7TH EDITION]
William T. Segui and Sayed M. Soleimani

CHAPTER 1 – INTRODUCTION

1.5-1

(a) 𝐴 = 𝜋(0.550)2 /4 = 0.2376 in.2

𝑃𝑢 28,500
𝐹𝑢 = = = 120,000 psi = 120 ksi
𝐴 0.2376

Fu = 120 ksi (827.4 MPa)

2.300−2.030
(b) 𝑒 = × 100 = 13.3%
2.030


e = 13.3%

(c) 𝐴𝑓 = 𝜋(0.430)2 /4 = 0.1452 in.2

𝐴𝑓 −𝐴𝑜 0.1452−0.2376
Change = × 100 = × 100 = −38.9%
𝐴𝑜 0.2376


Reduction = 38.9%



1.5-2

𝐴 = 𝜋(0.5)2 /4 = 0.1963 in.2

𝑃 13.5
𝑓= = = 68.77 ksi
𝐴 0.1963

Δ𝐿 4.66 × 10−3
𝜀= = = 2.33 × 10−3
𝐿 2

𝑓 68.77
𝐸= = = 29,500 ksi
𝜀 2.33 × 10−3

E = 29,500 ksi (203.4 GPa)



[1-1]

© 2026 Cengage Learning®. All Rights Reserved. May not be scanned, copied, or duplicated,
or posted to a publicly accessible website, in whole or in part.

,1.5-3

𝐴 = 𝜋(0.510)2 /4 = 0.2043 in.2
𝑃 250
For 𝑃 = 250 lb, 𝑓 = 𝐴 = 0.2043 = 1224 psi

Spreadsheet results:

(a)




(b)




(c)

E = slope = 31,600 ksi (217.9 GPa)



[1-2]

© 2026 Cengage Learning®. All Rights Reserved. May not be scanned, copied, or duplicated,
or posted to a publicly accessible website, in whole or in part.

,1.5-4

𝐴 = 𝜋(0.5)2 /4 = 0.1963 in.2

𝑓 𝑃/𝐴 𝑃 𝐿
𝐸= = = ⋅ = 1,392(4/0.1963) = 28,400 ksi
𝜀 Δ𝐿/𝐿 Δ𝐿 𝐴

E = 28,400 ksi (195.8 GPa)




1.5-5

𝐴 = 𝜋(3/8)2 /4 = 0.1104 in.2

𝑃 550
For 𝑃 = 550 lb, 𝑓 = 𝐴 = 0.1104 = 4,982 psi

Δ𝐿 350 × 10−6
𝜀= = = 175 × 10−6
𝐿 2

Spreadsheet results:

(a)




[1-3]

© 2026 Cengage Learning®. All Rights Reserved. May not be scanned, copied, or duplicated,
or posted to a publicly accessible website, in whole or in part.

,(b)




15,000
(c) 𝐸 = slope = 500×10−6 = 30,000,000 psi = 30,000 ksi


E = 30,000 ksi (206.8 GPa)

(d)

Fy ≈ 44,000 psi ≈ 44 ksi (≈ 303 MPa)




[1-4]

© 2026 Cengage Learning®. All Rights Reserved. May not be scanned, copied, or duplicated,
or posted to a publicly accessible website, in whole or in part.

,1.5-6

Spreadsheet results:

(a)




[1-5]

© 2026 Cengage Learning®. All Rights Reserved. May not be scanned, copied, or duplicated,
or posted to a publicly accessible website, in whole or in part.

,(b)




80−50
(c) 𝐸 = slope = 0.0025−0.0015 = 30,000 ksi


E = 30,000 ksi (206.8 GPa)

(d)

Fpl ≈ 85 ksi (≈ 586 MPa)


Fy ≈ 116 ksi (≈ 800 MPa)




[1-6]

© 2026 Cengage Learning®. All Rights Reserved. May not be scanned, copied, or duplicated,
or posted to a publicly accessible website, in whole or in part.

, STEEL DESIGN [7TH EDITION]
William T. Segui and Sayed M. Soleimani

CHAPTER 2 – CONCEPTS IN STRUCTURAL STEEL DESIGN

2-1

D = 9 kips (49 kN), 𝐿𝑟 = 5 kips (22 kN), 𝑆 = 6 kips (27 kN), 𝑅 = 7 kips (31 kN), 𝑊 = 8 kips

(36 kN)

(a)

1: 1.4𝐷 = 1.4(9) = 12.6 kips (1.4(49) = 68.6 kN)

3: 1.2𝐷 + 1.6𝑅 + 0.5𝑊 = 1.2(9) + 1.6(7) + 0.5(8) = 26 kips (1.2(49) + 1.6(31) +

0.5(36) = 126.4 kN)

4: 1.2𝐷 + 1.0𝑊 + 0.5𝑅 = 1.2(9) + 1.0(8) + 0.5(7) = 22.3 kips (1.2(49) + 1.0(36) +

0.5(31) = 110.3 kN)

R u = 26 kips (126.4 kN) (combination 3)


(b)

ϕR n = 26 kips (126.4 kN)

𝜑𝑅𝑛 26 126.4
(c) 𝑅𝑛 = = 0.90 = 28.9 kips ( 0.90 = 140.4 kN)
𝜑


R n = 28.9 kips (140.4 kN)


(d)

3: 𝐷 + 𝑅 = 9 + 7 = 16 kips (49 + 31 = 80 kN)

6. 𝐷 + 0.75(0.6 𝑊) + 0.75(𝑅) = 9 + 0.75(0.6)(8) + 0.75(7) = 17.9 kips (49 +

0.75(0.6)(36) + 0.75(7) = 70.45 kN)




[2-1]

© 2026 Cengage Learning®. All Rights Reserved. May not be scanned, copied, or duplicated,
or posted to a publicly accessible website, in whole or in part.

, R a = 17.9 kips (70.45 kN) (combination 6)


(e) 𝑅𝑛 = Ω𝑅𝑎 = 1.67(17.9) = 29.9 kips (1.67(70.45) = 117.65 kN)

Rn = 29.9 kips (117.65 kN)




2-2

D = 9 kips (49 kN), 𝐿𝑟 = 5 kips (22 kN), 𝑆 = 6 kips (27 kN), 𝑊 = 8 kips (36 kN)

(a)

1: 1.4𝐷 = 1.4(9) = 12.6 kips (1.4(49) = 68.6 kN)

3: 1.2𝐷 + 1.6𝐿𝑟 + 0.5𝑊 = 1.2(9) + 1.6(5) + 0.5(8) = 22.8 kips (1.2(49) + 1.6(22) +

0.5(36) = 112 kN)

4: 1.2𝐷 + 1.0𝑊 + 0.5𝐿𝑟 = 1.2(9) + 1.0(8) + 0.5(5) = 21.3 kips (1.2(49) + 1.0(36) +

0.5(22) = 105.8 kN)

R u = 22.8 kips (112 kN) (combination 3)


(b)

ϕR n = 22.8 kips (112 kN)

𝜑𝑅𝑛 22.8 112
(c) 𝑅𝑛 = = 0.90 = 25.3 kips (0.90 = 124.4 kN)
𝜑


R n = 25.3 kips (124.4 kN)


(d)

3: 𝐷 + 𝐿𝑟 = 9 + 5 = 14 kips (49 + 22 = 71 kN)




[2-2]

© 2026 Cengage Learning®. All Rights Reserved. May not be scanned, copied, or duplicated,
or posted to a publicly accessible website, in whole or in part.

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