Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 12.5, Problem 12.90P
The beam supports the loading shown. Code restrictions, due to a plaster ceiling, require the maximum deflection not to exceed 1/360 of the span length. Select the lightest-weight A-36 steel wide-flange beam from AppendixB that will satisfy this requirement and safely support the load. The allowable bending stress is σallow = 24 ksi and the allowable shear stress is τallow = 14 ksi. Assume A is a roller and B is a pin.
Prob. 12–90
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AWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the
shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 2 m, Lgc = 6 m, LCD = 2 m, PA = 14 kN, WBC= 10
kN/m. Consider the entire 10-m length of the beam and determine:
(a) the maximum tension bending stress o at any location along the beam, and
(b) the maximum compression bending stress oc at any location along the beam.
PA
LAB
Answers:
(a) σT =
(b) oc =
i
B
WBC
N
LBC
WT305 x 41
C
LCD
88.9 mm
211.1 mm
MPa.
MPa.
AWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the
shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBC= 6 m, LCD= 4 m, PA = 10 kN, WBC = 7
kN/m. Consider the entire 13-m length of the beam and determine:
(a) the maximum tension bending stress or at any location along the beam, and
(b) the maximum compression bending stress oc at any location along the beam.
A
PA
LAB
B
WBC
LBC
T
WT305 x 41
LCD
↑
88.9 mm.
211.1 mm
D
X
AWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the
shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBc = 7 m, LCD = 2 m, PA = 17 kN, WBC = 10
kN/m. Consider the entire 12-m length of the beam and determine:
(a) the maximum tension bending stress or at any location along the beam, and
(b) the maximum compression bending stress oc at any location along the beam.
PA
LAB
Answers:
(a) σT =
(b) oc =
i
i
B
WBC
LBC
LCD
Ť
WT305 x 41
88.9 mm
211.1 mm
MPa.
MPa.
D
Chapter 12 Solutions
Mechanics of Materials (10th Edition)
Ch. 12.2 - In each case, determine the internal bending...Ch. 12.2 - Determine the slope and deflection of end A of the...Ch. 12.2 - Determine the slope and deflection of end A of the...Ch. 12.2 - Determine the slope of end A of the cantilevered...Ch. 12.2 - Determine the maximum deflection of the simply...Ch. 12.2 - Determine the maximum deflection of the simply...Ch. 12.2 - Determine the slope of the simply supported beam...Ch. 12.2 - An L2 steel strap having a thickness of 0.125 in....Ch. 12.2 - The L2 steel blade of the band saw wraps around...Ch. 12.2 - A picture is taken of a man performing a pole...
Ch. 12.2 - El is constant. 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El is...Ch. 12.4 - Determine the deflection of end B of the...Ch. 12.4 - Prob. 12.54PCh. 12.4 - The composite simply supported steel shaft is...Ch. 12.4 - Prob. 12.56PCh. 12.4 - Prob. 12.57PCh. 12.4 - Determine the deflection at C and the slope of the...Ch. 12.4 - Determine the maximum deflection of the...Ch. 12.4 - Prob. 12.60PCh. 12.4 - Determine the position a of the roller support B...Ch. 12.4 - Prob. 12.62PCh. 12.4 - Determine the slope and the deflection of end B of...Ch. 12.4 - The two A-36 steel bars have a thickness of 1 in....Ch. 12.4 - Determine the slope at A and the displacement at...Ch. 12.4 - Determine the deflection at C and the slopes at...Ch. 12.4 - Determine the maximum deflection within region AB....Ch. 12.4 - Determine the slope at A and the maximum...Ch. 12.4 - Determine the slope at C and the deflection at B....Ch. 12.4 - Determine the slope at A and the maximum...Ch. 12.4 - Determine the displacement of the 20-mm-diameter...Ch. 12.4 - The two force components act on the tire of the...Ch. 12.4 - Prob. 12.73PCh. 12.4 - The rod is constructed from two shafts for which...Ch. 12.4 - Prob. 12.75PCh. 12.4 - Determine the slope at point A and the maximum...Ch. 12.4 - Determine the position a of roller support B in...Ch. 12.4 - Determine the slope at B and deflection at C. 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Use...Ch. 12 - Draw the bending-moment diagram for the shaft and...Ch. 12 - Determine the moment reactions at the supports A...Ch. 12 - Specify the slope at A and the maximum deflection....Ch. 12 - Determine the maximum deflection between the...Ch. 12 - Determine the slope at B and the deflection at C....Ch. 12 - Determine the reactions, then draw the shear and...Ch. 12 - El is constant.Ch. 12 - Using the method of superposition, determine the...
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