Statics Quiz
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FREE-BODY DIAGRAMS AND EQUILIBRIUM
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A sinusoidal distributed load w(x)=w0sin⁡(πxL)w(x) = w_0 \sin(\frac{\pi x}{L}) acts over a beam span from x=0x = 0 to x=Lx = L, where w0=20 kN/mw_0 = 20 \text{ kN/m} and L=4 mL = 4 \text{ m}. For preliminary design calculations, this must be replaced by an equivalent concentrated load. What is the magnitude of the resultant and its distance from x=0x = 0?
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