Compute the value of Q that is associated with point K, which is located yk = 3.5 in. above the centroid of the wide-flange shape. (b) If the allowable shear stress for the wide-flange shape is τallow= 13 ksi, determine the maximum concentrated load P than can be applied to the cantilever beam.

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Answer in 3 decimal places please. Thank you.
 
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 = 14.0 in., tf = 0.475 in., tw = 0.350 in.
(a) Compute the value of Q that is associated with point K, which is located yk = 3.5 in. above the centroid of the wide-flange shape.
(b) If the allowable shear stress for the wide-flange shape is τallow= 13 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.
 
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.
 
Determine the centroid location in the y direction for the cross-section with respect to the bottom of the cross-section.

Answer: y¯ =       in.
 
 
 
Determine the moment of inertia Ic1 for the top flange (1) about its own centroid y1.
Answer: Ic1 =      in.4.
 
Determine the moment of inertia Iz1 for the top flange (1) about the z centroidal axis of the cross-section.
Answer: Iz1 =       in.4.
 
 
Determine the moment of inertia Ic2 for the bottom flange (2) about its own centroid y2.
Answer: Ic2 =       in.4.
 
Determine the moment of inertia Iz2 for the bottom flange (2) about the z centroidal axis of the cross-section.
Answer: Iz2 =      in.4.
 
 
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.
 
Determine the moment of inertia Iz for the cross-section about the z centroidal axis.
Answer: Iz =      in.4.
 
 
Compute the value of the first moment of area Q that is associated with point K, which is located d = 3.5 in. above the centroid of the wide-flange shape.
Answer: QK =       in.3.
 
Determine the maximum value of the first moment of area Q for the cross-section.
Answer: Qmax =      in.3.
 
If the allowable shear stress for the wide-flange shape is τallow= 13 ksi, determine the maximum concentrated load P than can be applied to the cantilever beam.
Answer: Pmax =       kips.
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Transcribed Image Text:y| K Ук d YH H
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