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The Load carrying capacity of a column designed by working stress method is 500 kN. The ultimate collapse load of the column is
- a)500 kN
- b)662.5 kN
- c)750 kN
- d)1100 kN
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The Load carrying capacity of a column designed by working stress meth...
The ultimate collapse load on the column is given by,
Wu = Ws x 1.5 = 500 x 1.5 = 750 kN
Wu = Ws x 1.5 = 500 x 1.5 = 750 kN
Most Upvoted Answer
The Load carrying capacity of a column designed by working stress meth...
Load Carrying Capacity and Ultimate Collapse Load of a Column
Load carrying capacity is the maximum load that a column can bear without failure or excessive deformation under working stress conditions. Ultimate collapse load is the maximum load that a column can bear before it collapses or fails under ideal conditions.
Given:
Load carrying capacity of the column designed by working stress method = 500 kN
Formula:
Ultimate collapse load = Load carrying capacity / Factor of Safety
Factor of Safety (FoS) is the ratio of the ultimate strength of a material to the maximum stress it can withstand under working conditions. The FoS ensures that the structure can withstand loads in excess of the design load without failure.
Calculation:
Assuming FoS = 1.5 (as per code)
Ultimate collapse load = 500 kN / 1.5 = 333.33 kN
But, the ultimate collapse load should be greater than the load carrying capacity of the column.
Therefore, the ultimate collapse load = 500 kN / 0.67 (FoS = 1/0.67) = 750 kN
Hence, option (c) is the correct answer.
Conclusion:
The ultimate collapse load of a column is calculated using the load carrying capacity and the factor of safety. The factor of safety ensures that the structure can bear loads in excess of the design load without failure. The ultimate collapse load should always be greater than the load carrying capacity of the column.
Load carrying capacity is the maximum load that a column can bear without failure or excessive deformation under working stress conditions. Ultimate collapse load is the maximum load that a column can bear before it collapses or fails under ideal conditions.
Given:
Load carrying capacity of the column designed by working stress method = 500 kN
Formula:
Ultimate collapse load = Load carrying capacity / Factor of Safety
Factor of Safety (FoS) is the ratio of the ultimate strength of a material to the maximum stress it can withstand under working conditions. The FoS ensures that the structure can withstand loads in excess of the design load without failure.
Calculation:
Assuming FoS = 1.5 (as per code)
Ultimate collapse load = 500 kN / 1.5 = 333.33 kN
But, the ultimate collapse load should be greater than the load carrying capacity of the column.
Therefore, the ultimate collapse load = 500 kN / 0.67 (FoS = 1/0.67) = 750 kN
Hence, option (c) is the correct answer.
Conclusion:
The ultimate collapse load of a column is calculated using the load carrying capacity and the factor of safety. The factor of safety ensures that the structure can bear loads in excess of the design load without failure. The ultimate collapse load should always be greater than the load carrying capacity of the column.
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