Find out the deflection - vertical, Mechanical Engineering

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Find out the deflection:

Find out the deflection (vertical) at a distance 'a' from the tip in Example

Solution

As in this case there is no load at the point where the deflection is required, we introduce a fictitious load Q as illustrated in Figure.

260_Find out the deflection.png

Figure

Then,

M = - Px and ∂M /∂Q = 0 for 0 ≤ x ≤ a

and

M = - Px - Q ( x - a) and ∂M/∂Q = - ( x - a) for a ≤ x ≤ L

2144_Find out the deflection1.png

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