A simply supported beam of span 5 m is subjected to a concentrated load of 50 kN at 2 m from the left support. If the Young's modulus is $200 \mathrm{kN} / \mathrm{mm}^{2}$ and moment of inertia is $5 \times 10^{-5} \mathrm{~m}^{4}$, determine the slope and deflection at mid-span using conjugate-beam method.
Explanation
The conjugate-beam method is used to determine the slope and deflection of a beam. The moment of the conjugate beam at the point of application of the load is used to find the slope, and the slope of the conjugate beam at the point of application of the load is used to find the deflection.
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