(Solved):   Figure 3-6a shows the loading diagram for a beam cantilevered at \( A \) with a uniform lo ...

 

Figure 3-6a shows the loading diagram for a beam cantilevered at \( A \) with a uniform load of \( 3.5 \mathrm{kN} / \mathrm{m} \) acting on the portion \( 75 \mathrm{~mm} \leq x \leq 175 \mathrm{~mm} \), and a concentrated counterclockwise moment of \( 1 \mathrm{kN} \cdot \mathrm{m} \) at \( x=250 \mathrm{~mm} \). Derive the shear-force and bendingmoment relations, and the support reactions \( M_{1} \) and \( R_{1} \).