Calculate the cross-sectional area of the top flange (1), the bottom flange (2), and the web (3). Answers: A1 =        in.2.,

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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The cantilever beam shown is subjected to a concentrated load of P. The cross-sectional dimensions of the wide-flange shape are also shown, where bf = 7.00 in., d = 12.5 in., tf = 0.475 in., tw = 0.250 in.
(a) Compute the value of Q that is associated with point K, which is located yk = 3.0 in. above the centroid of the wide-flange shape.
(b) If the allowable shear stress for the wide-flange shape is τallow= 12 ksi, determine the maximum concentrated load P than can be applied to the cantilever beam.

 

Calculate the cross-sectional area of the top flange (1), the bottom flange (2), and the web (3).

Answers:

A1 =        in.2.,
A2 =        in.2.,
A3 =        in.2.

Part 2

 
Determine the location of the y direction centroids of the top flange (1), the bottom flange (2), and the web (3), with respect to the bottom of the cross-section.

Answers:

y1 =         in.,
y2 =         in.,
y3 =         in.
 

Part 3

Determine the centroid location in the y direction for the cross-section with respect to the bottom of the cross-section.

Answer: y¯ =     in.
 

Part 4

Determine the moment of inertia Ic1 for the top flange (1) about its own centroid y1.

Answer: Ic1 =      in.4.
 

Part 5

Determine the moment of inertia Iz1 for the top flange (1) about the z centroidal axis of the cross-section.

Answer: Iz1 =      in.4.
 

Part 6

Determine the moment of inertia Ic2 for the bottom flange (2) about its own centroid y2.

Answer: Ic2 =       in.4.
 

Part 7

Determine the moment of inertia Iz2 for the bottom flange (2) about the z centroidal axis of the cross-section.

Answer: Iz2 =       in.4.

Part 8

Determine the moment of inertia Iz3 for the web (3) about the z centroidal axis of the cross-section. Note that the centroid of the web is also the centroid of the cross-section.

Answer: Iz3 =       in.4.

Part 9

Determine the moment of inertia Iz for the cross-section about the z centroidal axis.

Answer: Iz =     in.4.
 

Part 10

Compute the value of the first moment of area Q that is associated with point K, which is located d = 3.0 in. above the centroid of the wide-flange shape.

Answer: QK =      in.3.
 

Part 11

Determine the maximum value of the first moment of area Q for the cross-section.


Answer: Qmax =      in.3.
 
 
 

Part 12

 
If the allowable shear stress for the wide-flange shape is τallow= 12 ksi, determine the maximum concentrated load P than can be applied to the cantilever beam.

Answer: Pmax =      kips.
 
by
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Transcribed Image Text:by y P tw K Ук d YH H
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