Find out the deflection - vertical, Mechanical Engineering

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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