Structural Analysis, SI Edition
6th Edition
ISBN: 9780357030981
Author: Aslam Kassimali
Publisher: Cengage Learning US
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Question
Chapter 3, Problem 37P
To determine
Calculate the support reactions for the given structure.
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Determine the following for the beam with unknown loading, using
the Shear and Bending Diagrams provided in the figures on the right:
a. The maximum shear stress experienced by the beam.
b. The maximum flexural stress experienced by the beam (Indicate if
this is tensile or compressive flexural stress)
c. The loading diagram (Indicate the magnitudes of the loading/s. The
loads are acting along the plane of symmetry of the section)
20 80 20
十十
SHEAR DIAGRAM
x=577.3502692 mm
20 KN
1°
5/3 KN
2°
C
2°
D
A
B
CROSS SECTION
Dimensions are in mm
LOADING DIAGRAM
?
120
40
40
A
B
C
D
1000mm
2000mm
1000mm
-55/3 KN
MB'
C
D
BENDING DIAGRAM
MB
A
B
Σ
Mc
Find the maximum bending stress in ksi for this beam if it is made from a W16x50 steel shape. If the steel yields
at 50 ksi, will the beam support the loads shown without permanently deforming? Confirm the max moment in
the beam by drawing the shear and moment diagram.
18 kip-ft
2 kip/ft
9 ft
Problem 4
A propped cantilever beam of flexural rigidity EI and 2EI for parts 1-2 and 2-3, respectively, is
subjected to a concentrated load P at point 2.
Find:
a) Determine the displacement at point 2;
b) Determine the rotation at point 3;
c) Determine the reaction force and moment at point 1;
d) Determine the reaction force at point 3.
El
2
P
2 EI
2 L
Chapter 3 Solutions
Structural Analysis, SI Edition
Ch. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10P
Ch. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42P
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