Deflection of a uniform beam Figure 3(a) shows a uniform beam subject to a linearly increasing distributed load. The equation for the resulting elastic curve is (see Fig. 3(b)): •(-x5+2L²x³ - L^x) y = Wo 120EIL Use bisection method to determine the point of maximum deflection (i.e., the value of x where dy/dx = 0). Then substitute this value into the above equation to determine the value of the maximum deflection. Use the following parameter values in your computation: L = 600 cm, E = 50,000 kN/cm², I = 30,000 cm², and wo = 2.5 kN/cm. (x = 0, y = 0) (0) Wo (x = 1, y = 0) (b) Fig. 3: Deflection of a uniform beam.

Deflection of a uniform beam Figure 3(a) shows a uniform beam subject to a linearly increasing distributed load. The equation for the resulting elastic curve is (see Fig. 3(b)): •(-x5+2L²x³ - L^x) y = Wo 120EIL Use bisection method to determine the point of maximum deflection (i.e., the value of x where dy/dx = 0). Then substitute this value into the above equation to determine the value of the maximum deflection. Use the following parameter values in your computation: L = 600 cm, E = 50,000 kN/cm², I = 30,000 cm², and wo = 2.5 kN/cm. (x = 0, y = 0) (0) Wo (x = 1, y = 0) (b) Fig. 3: Deflection of a uniform beam.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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