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Mechanics of Materials 9th SI Edition · Shear Forces and Bending Moments · Problem 4.5-16

Gere & Goodno — Shear Forces and Bending Moments: Problem 4.5-16

4.5-16 The cantilever beam AB shown in the figure is subjected to a triangular load acting over one-half of its length and a concentrated load acting at the free end. Draw the shear-force and bending-moment diagrams for this beam. Given Data from Figure: Total beam length: \(L = 2\text{ m} + 2\text{ m} = 4\text{ m}\) Triangular load: Peak intensity \(q_0 = 2.0\text{ kN/m}\) at fixed end \(A\) (\(x=0\)), decreasing to \(0\) at the midpoint (\(x=2\text{ m}\)). Concentrated load at free end \(B\): \(P = 2.5\text{ kN}\) (downward).

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