(a)
To select:
American standard channel for the given compression member using LRFD.
Answer to Problem 4.8.4P
Explanation of Solution
Given information:
Given compression member is :
Calculation:
Calculate the factored load by LRFD by using the equation.
Here
Substitute
Try a C section
AISC must be used, as this shape is non slender and is neither a double angle nor a tee shape
Check the effective slenderness ratio about y-axis using the formula.
Here K is the effective length factor
L is the length of the member between the supports.
r is the radius of gyration
Take the properties steel from the AISC steel table. K value depends on the end conditions
Calculate the elastic buckling stress using the formula.
Check for slenderness ratio by using the formula.
Here
Substitute
Since
Calculate the nominal compressive strength of column using the formula.
Substitute,
=
=
Calculate design strength of the column using by LRFD method
Here we have
Check the effective slenderness ratio about x-axis using the formula.
Substitute
From the manual companion CD:
Calculate the elastic buckling stress using the formula.
Calculate the value of
Calculate the total stress by equation
Calculate the value of
In order to determine which compressive strength equation to be use, compare the value of
Since
Calculate the maximum strength by using the formula.
.
Conclusion:
(b)
To select:
American standard channel for the given compression member using ASD.
Answer to Problem 4.8.4P
Explanation of Solution
Given information:
Given compression member is
Calculation:
Calculate the factored load by LRFD by using the equation.
He re
Substitute
Try a C section
AISC must be used, as this shape is non slender and is neither a double angle nor a tee shape
Check the effective slenderness ratio about y-axis using the formula
Here K is the effective length factor
L is the length of the member between the supports
r is the radius of gyration
Take the properties steel from the AISC steel table. K value depends on the end conditions
Calculate the elastic buckling stress using the formula.
Check for slenderness ratio by using the formula.
Here
Substitute
Since
Calculate the nominal compressive strength of column using the formula.
Substitute,
=
=
Calculate design strength of the column using by ASD method.
Here we have
Check the effective slenderness ratio about x-axis using the formula.
Substitute
From the manual companion CD:
Calculate the elastic buckling stress using the formula.
Calculate the value of
Calculate the total stress by equation
Calculate the value of
In order to determine which compressive strength equation to be use, compare the value of
Since
Calculate the maximum strength by using the formula.
Conclusion:
Want to see more full solutions like this?
Chapter 4 Solutions
STEEL DESIGN (LOOSELEAF)
- Steel Design (Activate Learning with these NEW ti...Civil EngineeringISBN:9781337094740Author:Segui, William T.Publisher:Cengage Learning