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A steel girder of length l rests freely on two supports (Fig. 1.77). The moment of inertia of its cross-section is equal to I (see the foregoing problem). Neglecting the mass of the girder and assuming the sagging to he slight, find the deflection λ due to the force F applied to the middle of the girder.

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One can think of it as analogous to the previous case but with a beam of length l/2 loaded upward by a force F/2. 

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