For a simply supported rectangular beam carrying the same central load, the central depression varies as δ ∝ L³ / [Ybd³], where L is beam length, b is width and d is thickness in the bending direction. If both L and d are doubled while material, width and load remain unchanged, what is the new depression?

Physics · Properties of solid and fluid · properties of solid stress ,strain and modulus of elasticity

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For a simply supported rectangular beam carrying the same central load, the central depression varies as δ ∝ L³ / [Ybd³], where L is beam length, b is width and d is thickness in the bending direction. If both L and d are doubled while material, width and load remain unchanged, what is the new depression?

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