Question

A rectangular beam, with cross-sectional width b, height h, Young's modulus Erect, has the same flexural rigidity as a circular beam with the same cross-sectional area.

What is the Young's modulus, Ecirc, of the circular beam in terms of Erect,b, and h?

What aspect ratio of the rectangular beam, h/b, will result in the same Young's modulus for the rectangular and circular beam Ecirc=Erect?
4*pi*E_rect*h/(12*b)

Related Questions

The stiffness S of a rectangular beam is proportional to its width (w) times the cube of its depth/h... A 4.0-m-long steel wire has a cross-sectional area of 0.050cm2. Its proportional limit has a value o... The statically-indeterminate composite beam AB of length 2L is fixed at A (x=0) and is simply suppor... An atomic force microscope cantilever, of rectangular cross section, has a length, L of 200𝜇𝑚 a...