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Daily Concept Booster Mechanical Engineering: Deflection (∆) of a prismatic bar

Axial deflection (∆) of a prismatic bar

∆=PL/AE
Where P = External load applied to the bar
L = length of the bar
A = Area of the bar
E = Modulus of elasticity

Above formula can also be written as
∆=P/(AE/A)=P/K
Where K = Axial stiffness of the bar
AE/L= Flexural stiffness of the bar
AE = Axial rigidity

Deflection of a bar due to self-weight

∆=WL/2AE
∆=γL²/AE

Where, W = Self-weight of the bar
γ = Specific weight of the bar

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Published by VINAYAK KUMAR

Graduated from BIT Sindri, Postgraduated from IIT BHU Varanasi

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