(a)
The satisfaction of AISC interaction equation using LRFD.
Answer to Problem 6.2.1P
The member satisfies the AISC interaction equation.
Explanation of Solution
Given:
The load is
The length of member is
The value of
The flexural load is
Concept Used:
Write the LRFD interaction equation.
Here, the factored load is
Calculation:
Calculate the factored load.
Here, the dead load is
Substitute
Calculate the effective length of the member.
Here, the unsupported length is
Substitute
Calculate the axial compressive design strength.
From the manual table, the axial compressive design strength of a
Calculate the nominal flexural strength about x-axis.
From the design table, calculate the nominal flexural strength about x-axis by using
Calculate the flexural load about x-axis.
Here, the flexural dead load is
Substitute
There is no bending about y-axis, therefore
Write the equation to calculate the controlling interaction formula.
Substitute
The value is greater than
Calculate the LRFD interaction equation.
Substitute
The interaction equation is satisfied.
Conclusion:
Therefore, the interaction equation is satisfied with the AISD interaction equation.
(b)
The satisfaction of AISC interaction equation using ASD.
Answer to Problem 6.2.1P
The member satisfies the AISC interaction equation.
Explanation of Solution
Concept Used:
Write the ASD interaction equation.
Here, the factored load is
Calculation:
Calculate the factored load.
Here, the dead load is
Substitute
Calculate the allowed compressive strength.
From the manual table, the allowed compressive strength of a
Calculate the nominal flexural strength about x-axis.
From the design table, calculate the nominal flexural strength about x-axis by using
Calculate the flexural load about x-axis.
Here, the flexural dead load is
Substitute
There is no bending about y-axis, therefore
Write the equation to calculate the controlling interaction formula.
Substitute
The value is greater than
Calculate the ASD interaction equation.
Substitute
The interaction equation is satisfied.
Conclusion:
Therefore, the interaction equation is satisfied with the ASD interaction equation.
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Chapter 6 Solutions
Steel Design (Activate Learning with these NEW titles from Engineering!)
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- Steel Design (Activate Learning with these NEW ti...Civil EngineeringISBN:9781337094740Author:Segui, William T.Publisher:Cengage Learning