Engineering Fundamentals: An Introduction to Engineering
6th Edition
ISBN: 9780357391273
Author: Saeed Moaveni
Publisher: Cengage Learning US
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Chapter 1.4, Problem 2BYG
To determine
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A simply supported beam is subjected to the end couples (bending is about the strong axis) and the axial load shown in the figure
below. These moments and axial load are from service loads and consist of equal parts dead load and live load. Lateral support is
provided only at the ends. Neglect the weight of the beam and investigate this member as a beam-column. Use Fy
that P40 k and M = 68 ft-k.
For W10 × 33: I = 171 in.4;
10 ft and C₁ = 1.0: Mn = 134 ft-kips and Mn/₁ = 89.3 ft-kips;
=
50 ksi. Suppose
for Lb
for Lc
-
= 10 ft: Pn 330 kips and Pr/c
=
220 kips.
W10 X 33
P
M
M
10'
Pu
A)
+
Ферп 9
a. Use LRFD.
Select the interaction formula:
Mur
84, Mnz
Muy
+
<1.0
Фь Мпу
Pu
Mur
Muy
B)
+
+
≤ 1.0
20c Pn
Фь Мих
nx
ФоМпу
-Select- ✓
Compute the interaction formula.
(Express your answer to three significant figures.)
-Select- 1.0
This member is -Select-
b. Use ASD.
Select the interaction formula:
Ра
8
Max
May
A)
+
+
<1.0
Pn/c
Mnx/b Mny/b
Pa
Max
May
B)
+
+
1.0
2Pn/c Mnx/b Mny/b
-Select-
Compute the…
Determine whether the given member satisfies the appropriate AISC interaction equation. Do not consider moment amplification. The loads are
50% dead load and 50% live load. Bending is about the x axis, and the steel is ASTM A992. Suppose that P = 280 k.
For W12 x 106 with Fy = 50 ksi and Lc = 14 feet:
Ферп 1130 kips, Pn/Sc
= 755 kips,
Mn = 597 ft-kips, Mn/₁ = 397 ft-kips.
P
240 ft-k
W12 X 106
14'
K₁ = Ky
= 1.0
240 ft-k
a. Use LRFD.
P
Determine the factored axial compressive load and the factored bending moment.
(Express your answers to three significant figures.)
P₁ =
Mu =
kips
ft-kips
Select the interaction formula:
P₁
A)
+
Мих
Muy
+
≤1.0
Ферп 9 Фь Мих
of Mny
Pu
Мих
Muy
B)
+
20c Pn
Mnz
+
<1.0
Фь Мпу
-Select-
Compute the interaction formula.
(Express your answer to three significant figures.)
-Select- 1.0
This member -Select-
b. Use ASD.
the AISC Specification.
Determine the total axial compressive load and the maximum bending moment.
(Express your answers to three significant…
Refer to the following figure:
K
6 m
T
0.25 H
0.75 H
1 m
A
c,O,Y
3 m
B
2 m
1 m
C
Figure Peck's (1969)
apparent-pressure envelope for
cuts in soft to medium clay
Given: y = 17.5 kN/m³, c = 30 kN/m², 6 = 0, and center-to-center spacing of struts in the plan = 5 m. Determine
the sheet-pile section modulus for the braced cut. Use all = 150 MN/m².
(Enter your answer to three significant figures.)
S =
×105 m³/m
Chapter 1 Solutions
Engineering Fundamentals: An Introduction to Engineering
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