Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN: 9781337094740
Author: Segui, William T.
Publisher: Cengage Learning
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Chapter 5, Problem 5.10.2P
To determine
(a)
The most economical W-shape for the given beam by using LRFD.
To determine
(b)
The most economical W-shape for the given beam by using ASD
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The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 75 GPa] with a
cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 109 GPa] with a cross-sectional area of A₂ = 410 mm². Assume
L₁=2.6 m, L₂-3.3 m, a=0.7 m, b=1.5 m, and c=0.8 m. All bars are unstressed before the load P is applied; however, there is a 4.5-mm
clearance in the pin connection at A. If a load of P = 45 kN is applied at B, determine:
(a) the normal stresses σ1,02, in both bars (1) and (2).
(b) the normal strains €1, €2, in bars (1) and (2).
(c) determine the downward deflection VA of point A on the rigid bar.
(1)
Answers:
a
(a) σ1
=
(b) E₁ =
(C) VA = i
i
i
ล
B
C
L2
b
C
MPa, σ =
i
με, Ε2
i
mm.
MPa.
με
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 79 GPa] with a
cross-sectional area of A₁ = 780 mm². Bar (2) is a bronze alloy [E = 104 GPa] with a cross-sectional area of A₂ = 460 mm². Assume
L₁=1.6 m, L₂-2.1 m, a=0.6 m, b=1.8 m, and c-1.3 m. All bars are unstressed before the load P is applied; however, there is a 4-mm
clearance in the pin connection at A. If a load of P = 58 kN is applied at B, determine:
(a) the normal stresses 01,02, in both bars (1) and (2).
(b) the normal strains €1,2, in bars (1) and (2).
(c) determine the downward deflection VA of point A on the rigid bar.
(1)
L₁
B
Answers:
(a)σ =
b
ล
L2
C
D
i
MPa, σ1 =
i
MPa.
με, Ε2 =
i
με.
(b) €1
=
i
(C) VA =
i
mm.
A load of P = 114 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 116 GPa] rods, and a solid
steel [E=192 GPa] rod, as shown. The bronze rods (1) each have a diameter of 19 mm and they are symmetrically positioned relative
to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied;
however, there is a 1.5-mm clearance in the bolted connection at B. Assume L₁ = 2.4 m and L₂ = 1.5 m. Determine:
(a) the normal stresses in the bronze and steel rods (01, 02).
(b) the downward deflection of rigid bar ABC.
(1)
Answers:
L2
(a) σ1
(b) v =
=
i
i
B
(1)
MPa, 02
mm.
=
i
MPa.
Chapter 5 Solutions
Steel Design (Activate Learning with these NEW titles from Engineering!)
Ch. 5 - Prob. 5.2.1PCh. 5 - Prob. 5.2.2PCh. 5 - Verify the value of Zx for a W1850 that is...Ch. 5 - Prob. 5.2.4PCh. 5 - Prob. 5.4.1PCh. 5 - Prob. 5.4.2PCh. 5 - Determine the smallest value of yield stress Fy,...Ch. 5 - Prob. 5.5.1PCh. 5 - Prob. 5.5.2PCh. 5 - Prob. 5.5.3P
Ch. 5 - Prob. 5.5.4PCh. 5 - Prob. 5.5.5PCh. 5 - Prob. 5.5.6PCh. 5 - Prob. 5.5.7PCh. 5 - Prob. 5.5.8PCh. 5 - Prob. 5.5.9PCh. 5 - If the beam in Problem 5.5-9 i5 braced at A, B,...Ch. 5 - Prob. 5.5.11PCh. 5 - Prob. 5.5.12PCh. 5 - Prob. 5.5.13PCh. 5 - Prob. 5.5.14PCh. 5 - Prob. 5.5.15PCh. 5 - Prob. 5.5.16PCh. 5 - Prob. 5.6.1PCh. 5 - Prob. 5.6.2PCh. 5 - Prob. 5.6.3PCh. 5 - Prob. 5.6.4PCh. 5 - Compute the nominal shear strength of an M107.5 of...Ch. 5 - Compute the nominal shear strength of an M1211.8...Ch. 5 - Prob. 5.8.3PCh. 5 - Prob. 5.8.4PCh. 5 - Prob. 5.10.1PCh. 5 - Prob. 5.10.2PCh. 5 - Same as Problem 5.10-2, except that lateral...Ch. 5 - Prob. 5.10.4PCh. 5 - The given beam is laterally supported at the ends...Ch. 5 - Prob. 5.10.6PCh. 5 - Prob. 5.10.7PCh. 5 - Prob. 5.11.1PCh. 5 - Prob. 5.11.2PCh. 5 - Prob. 5.11.3PCh. 5 - Prob. 5.11.4PCh. 5 - Prob. 5.11.5PCh. 5 - Prob. 5.11.6PCh. 5 - Prob. 5.11.7PCh. 5 - Prob. 5.11.8PCh. 5 - Prob. 5.11.9PCh. 5 - Prob. 5.12.1PCh. 5 - Prob. 5.12.2PCh. 5 - Prob. 5.12.3PCh. 5 - Prob. 5.13.1PCh. 5 - Prob. 5.13.2PCh. 5 - Prob. 5.14.1PCh. 5 - Prob. 5.14.2PCh. 5 - Prob. 5.14.3PCh. 5 - Prob. 5.14.4PCh. 5 - Prob. 5.15.1PCh. 5 - Prob. 5.15.2PCh. 5 - Prob. 5.15.3PCh. 5 - Prob. 5.15.4PCh. 5 - Prob. 5.15.5PCh. 5 - Prob. 5.15.6PCh. 5 - Prob. 5.15.7PCh. 5 - Same as Problem 5.15-7, except that the sag rods...
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