1. **Problem Statement:** Calculate the reaction forces and bending moment at the fixed end of a cantilever beam with a uniform distributed load $w = 300$ N/m over a length $L = 5$ m. 2. **Formulas and Rules:** - The total load on the beam is $W = w \times L$. - The reaction force at the fixed end equals the total load: $R = W$. - The bending moment at the fixed end is $M = \frac{w L^2}{2}$. 3. **Calculations:** - Total load: $$W = 300 \times 5 = 1500$$ N - Reaction force at fixed end: $$R = 1500$$ N (upward) - Bending moment at fixed end: $$M = \frac{300 \times 5^2}{2} = \frac{300 \times 25}{2} = \frac{7500}{2} = 3750$$ Nm 4. **Explanation:** The uniform load acts downward along the beam, so the fixed support must provide an upward reaction force equal to the total load to maintain equilibrium. The bending moment is maximum at the fixed end and calculated by the formula above, representing the moment caused by the distributed load acting at the centroid of the load distribution (midpoint of the beam).