Question

A bar 1 m long and 5 mm square in sectionsupported horizontally at its ends and loaded at the middle is depressed 1.96 mm by a load of 100 grams. calculate young's modulus

Answer 1

Young's modulus {\displaystyle E}, the Young modulus, or the modulus of elasticity in tension, is a mechanical property that measures the tensile stiffness of a solid material. It quantifies the relationship between tensile stress {\displaystyle \sigma } (force per unit area) and axial strain {\displaystyle \varepsilon } (proportional deformation) in the linear elastic region of a material and is determined using the formula:[1]