(a)
The critical buckling load using Euler equation for
Answer to Problem 5.1PFS
Explanation of Solution
Given:
Calculation:
The area of a given solid round bar is
Substitute the d value 1.5inches.
Moment of inertia of solid round bar:
Calculating radius of gyration:
Substitute the values of I and A in the formula:
Calculate the slenderness ratio for L= 4ft:
Determine critical buckling stress:
Substitute the values in formula:
The buckling stress is less than the limit of 36 ksi. The column is in elastic range and safe.
Calculation of critical buckling load:
Put in the values
Conclusion:
Therefore, the critical buckling load is
(b)
The critical buckling load using Euler equation for
Answer to Problem 5.1PFS
The buckling stress is not less than the limit of
Explanation of Solution
Given:
Calculation:
Calculate the slenderness ratio for L= 2ft 9in:
Determine critical buckling stress:
Substitute the values in formula:
Conclusion:
The buckling stress is not less than the limit of
(c)
To find: critical buckling load using Euler equation for
Answer to Problem 5.1PFS
Euler equation is not applicable as the slenderness ratio exceeds 200.
Explanation of Solution
Given:
Calculation:
Calculate the slenderness ratio for L= 7ft 6in:
Conclusion:
Therefore, Euler’s equation is not applicable as the slenderness ratio exceeds 200.
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Chapter 5 Solutions
Structural Steel Design (6th Edition)
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