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Question

The equation of the deflection curve for a simply supported beam is

$v(x)=\frac{q_0}{24 E I}\left(2 L x^3-x^4-L^3 x\right)$

(a) Derive the slope equation of the beam. (b) Derive the bending-moment equation of the beam. (c) Derive the shear-force equation of the beam. (d) Describe the loading acting on the beam.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 6Given: Equation of the deflection curve. Required: a) Slope equation; b) Moment equation; c) Shear force equation; d) Determine the loading

To determine the unknowns, the given equation for the deflection curve will be derived an appropriate number of times for each of the required equations.

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