Tutorial 5: Deflection of beam1. Find the expression for the maximum slope and the maximum deflection of a simply supported beam due to a uniform load wover the entire span L. The beam has a constant EI. Sketch the bending moment and elastic curve diagrams. Answer: wLEIwLEI34245384;2. Determine the slope and deflection at the end of the cantilevers shown below. Take EIas constant. Answer: WaEIWaEILawLEIwLEI223422368,;,−aLwLW3. A cantilever of length Land flexural rigidity EIis loaded with concentrated loads of W1at the free end and W2at mid-length. Show that the deflection at the free end is ()WWLEI1235163+/. If L = 3.0 m, W1 = 6x104 N, W2 = 4x104 N, find the least value of Iif the end deflection is 0.6 cm. Take E=185 GPa
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