Theory of Structures
A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The steel will be (where Young’s modulus of steel is m times that of the timber).

BD² + mbd²)/6D]
BD² + mbd²)/4D]
BD² + mbd³)/4D]
BD³ + mbd³)/6D]

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