고체역학 (Gere) — Shear Forces and Bending Moments: Problem 4.3-5

4.3-5 Consider the beam with an overhang shown in the figure. (a) Determine the shear force \(V\) and bending moment \(M\) at a cross section located \(5.5 \text{ m}\) from the left-hand end \(A\). (b) Find the required magnitude of load intensity \(q\) acting on the right half of member \(BC\) that will result in a zero shear force on the cross section \(5.5 \text{ m}\) from \(A\). [From Figure 4.3-5]: - Support \(A\) (pin) at \(x = 0\) - Support \(B\) (roller) at \(x = 6.0 \text{ m}\) - End \(C\) at \(x = 9.6 \text{ m}\) (\(BC = 3.6 \text{ m}\)) - Uniform downward load \(w = 5.8 \text{ kN/m}\) acting from \(A\) to \(B\) (length \(6 \text{ m}\)) - Uniform upward load \(q = 4.4 \text{ kN/m}\) acting on the right half of \(BC\) (from \(x = 7.8 \text{ m}\) to \(x = 9.6 \text{ m}\), length \(1.8 \text{ m}\))