Daily Concept Booster Mechanical Engineering: Deflection (∆) of a tapered bar and Elastic constants

Table of Contents

Axial deflection (∆) of a tapered bar

For Circular bar
Daily Concept Booster Mechanical Engineering: Deflection (∆) of a tapered bar and Elastic constants_30.1

Daily Concept Booster Mechanical Engineering: Deflection (∆) of a tapered bar and Elastic constants_40.1
Where P = External load applied to the bar
L = length of the bar
E = Modulus of elasticity

Elastic Constant

Young’s modulus or modulus of elasticity(E)

Young’s modulus or modulus of elasticity(E) is defined as the ratio of longitudinal stress and longitudinal strain
Young’s modulus=(longitudinal stress)/(longitudinal strain)

Modulus of rigidity(G)

Modulus of rigidity(G) is defined as the ratio of shear stress and shear strain
Modulus of rigidity=(shear stress)/(shear strain)

Bulk modulus (K)

Bulk modulus (K) is defined as the ratio of direct stress and volumetric strain.
K=(-dp)/(dv/v)

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