A beam of wide-flange shape, W 8 x 28, has the cross section shown in the figure. The dimensions are b = 6.54 in., h = 8.06 in., fw = 0.285 in., and tf = 0.465 in.. The loads on the beam produce a shear force V = 7.5 kips at the cross section under consideration.
- Use center line dimensions to calculate the maximum shear stress raiaxin the web of the beam.
a.
The maximum shear stress
Answer to Problem 6.8.3P
The maximum shear stress
Explanation of Solution
Figure :
Given:
The section
Concept Used:
Annuity problem requires the use of the moment of inertia equation as follows:
Here,
Annuity problem requires the use of the maximum shear stress equation as follows:
Here,
Calculation:
As per the given problem
Annuity problem requires the use of this formula based on centerline dimensions
Substitute these values in the formula
Annuity problem requires the use of this formula
Substitute these values in the formula
Conclusion:
The maximum shear stress
b.
The maximum shear stress
Answer to Problem 6.8.3P
The maximum shear stress
Explanation of Solution
Figure:
Given:
The section
Concept Used:
Annuity problem requires the use of the equation as follows:
Here,
Annuity problem requires the use of the moment of inertia equation as follows:
Here,
Annuity problem requires the use of the maximum shear stress equation in the web as follows:
Here,
Calculation:
Based on more exact analysis As per the given problem
Annuity problem requires the use of this formula:
Substitute these values in the formula
Annuity problem requires the use of this formula
Substitute these values in the formula:
Annuity problem requires the use of this formula
Substitute these values in the formula
Annuity problem requires the use of this formula
Substitute these values in the formula
Conclusion:
The maximum shear stress
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Chapter 6 Solutions
Mechanics of Materials (MindTap Course List)
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- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning