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If the Euler load for a steel column is 1000 kN and crushing load is 1500 kN, the Rankine load (in kN) is equal to ______.(Answer up to the nearest integer)
Correct answer is '600'. Can you explain this answer?
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If the Euler load for a steel column is 1000 kN and crushing load is ...
Euler Load:
The Euler load is the maximum load that a long, slender column can carry without any lateral deflection. It is given by the formula:
Euler Load = (π² * E * I)/(K * L)²
where E is the modulus of elasticity of the material, I is the moment of inertia of the cross-section, K is the effective length factor, and L is the length of the column.
Given Data:
Euler Load = 1000 kN
Crushing Load = 1500 kN
Calculating Rankine Load:
To calculate the Rankine load, we need to consider both the Euler load and the crushing load. The Rankine load is given by the formula:
Rankine Load = (Euler Load * Crushing Load)/(Euler Load + Crushing Load)
Substituting the given values:
Rankine Load = (1000 * 1500)/(1000 + 1500)
Rankine Load = 1500000/2500
Rankine Load = 600 kN (rounded to the nearest integer)
Therefore, the Rankine load for the steel column is 600 kN.
The Euler load is the maximum load that a long, slender column can carry without any lateral deflection. It is given by the formula:
Euler Load = (π² * E * I)/(K * L)²
where E is the modulus of elasticity of the material, I is the moment of inertia of the cross-section, K is the effective length factor, and L is the length of the column.
Given Data:
Euler Load = 1000 kN
Crushing Load = 1500 kN
Calculating Rankine Load:
To calculate the Rankine load, we need to consider both the Euler load and the crushing load. The Rankine load is given by the formula:
Rankine Load = (Euler Load * Crushing Load)/(Euler Load + Crushing Load)
Substituting the given values:
Rankine Load = (1000 * 1500)/(1000 + 1500)
Rankine Load = 1500000/2500
Rankine Load = 600 kN (rounded to the nearest integer)
Therefore, the Rankine load for the steel column is 600 kN.
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If the Euler load for a steel column is 1000 kN and crushing load is ...
Rankine load P is given by
= 600 KN
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If the Euler load for a steel column is 1000 kN and crushing load is 1500 kN, the Rankine load (in kN) is equal to ______.(Answer up to the nearest integer)Correct answer is '600'. Can you explain this answer?
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