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If the Euler load for a steel column is 1000 kN and crushing load is 1500 kN, the Rankine loadis euqual to
- a)2500 kN
- b)1500 kN
- c)1000 kN
- d)600 kN
Correct answer is option 'D'. Can you explain this answer?
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If the Euler load for a steel column is 1000 kN and crushing load is 1...
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If the Euler load for a steel column is 1000 kN and crushing load is 1...
Given: Euler load = 1000 kN, Crushing load = 1500 kN
To find: Rankine load
Explanation:
Euler load: It is the maximum axial load that a long and slender column can carry without buckling.
Crushing load: It is the maximum axial load that a short and thick column can carry without crushing.
Rankine Load: It is the maximum axial load that a column can carry taking into account both buckling and crushing.
The Rankine load is given by the formula:
Rankine load = Euler load / (1 + (Euler load / Crushing load))
Substituting the given values, we get:
Rankine load = 1000 / (1 + (1000/1500))
= 1000 / (1 + 0.67)
= 1000 / 1.67
= 599.04 kN
Therefore, the Rankine load is approximately 600 kN.
Hence, the correct option is (d) 600 kN.
To find: Rankine load
Explanation:
Euler load: It is the maximum axial load that a long and slender column can carry without buckling.
Crushing load: It is the maximum axial load that a short and thick column can carry without crushing.
Rankine Load: It is the maximum axial load that a column can carry taking into account both buckling and crushing.
The Rankine load is given by the formula:
Rankine load = Euler load / (1 + (Euler load / Crushing load))
Substituting the given values, we get:
Rankine load = 1000 / (1 + (1000/1500))
= 1000 / (1 + 0.67)
= 1000 / 1.67
= 599.04 kN
Therefore, the Rankine load is approximately 600 kN.
Hence, the correct option is (d) 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 loadis euqual toa)2500 kNb)1500 kNc)1000 kNd)600 kNCorrect answer is option 'D'. Can you explain this answer?
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