Which load is obtained when equilibrium and mechanism conditions of plastic analysis are satisfied?1 pointPlastic limit loadUpper bound solution of true ultimate loadLower bound solution of true ultimate loadNo solution
Question
Which load is obtained when equilibrium and mechanism conditions of plastic analysis are satisfied?1 pointPlastic limit loadUpper bound solution of true ultimate loadLower bound solution of true ultimate loadNo solution
Solution
The load that is obtained when equilibrium and mechanism conditions of plastic analysis are satisfied is the Lower bound solution of true ultimate load.
Here's why:
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Plastic analysis is a method used in structural engineering to calculate the load that a structure can bear before it undergoes plastic deformation.
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The equilibrium condition is satisfied when the sum of forces and moments in the system is zero. This ensures that the structure is stable under the applied load.
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The mechanism condition is satisfied when the structure has enough plastic hinges to form a collapse mechanism. This ensures that the structure will undergo a controlled collapse rather than a sudden failure.
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When both these conditions are satisfied, the structure is said to have reached its plastic limit load. However, this is not the actual maximum load the structure can bear.
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The true ultimate load is the maximum load that the structure can bear before failure. This can be calculated using upper bound and lower bound solutions.
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The upper bound solution assumes that the structure has more strength than it actually does, so it gives an overestimate of the true ultimate load.
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The lower bound solution assumes that the structure has less strength than it actually does, so it gives an underestimate of the true ultimate load.
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However, when both equilibrium and mechanism conditions are satisfied, the structure is at its limit state of load bearing capacity. This corresponds to the lower bound solution of the true ultimate load.
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