If the dimensions of I are length to the power of four, determine the SI units u

Question

If the dimensions of I are length to the power of four, determine the SI units used to measure the constant E.

In elementary beam theory, for a uniform beam supported as shown, the relation between the force P applied at the end of a beam and the corresponding end deflection delta is P = (3EI/L3)delta, where E is a constant called the modulus of elasticity, I is a constant called the centroidal area moment of inertia, and L is the length of the beam. If the dimensions I are length to the power four, determine the SI units used to measure the constant E. Figure P1.24

Explanation / Answer

E = P * L^3 / (I * delta)

= Newton * m^3 / (m^3 * m^2)

= Newton per metre squre

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