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125 EZL (-x* + 21²x² – L^x) Eq. (1) where L= 6 m, E=5x10*kN/m², Z=3x104m“, w,-250 kN/m, and x is distance of deflection at any point from A to B. (a) Use bisection method to determine point x at maximum deflection (i.e, the value of x where dy/dx = 0). Use initial guess of x =0 m and xy= 6 m to' achieve ɛs = 7%. Only show the 1* and 2nd iterations in full calculation and use 4 decimal places for all your answers. Summarize your answers in Table 1. (a) (x - L. y- 0) (r- 0, y= 0) (b) Figure 1(a) The original beam, 1(b) The deflected beam Iteration 1; x1, Xu, X, f{x), f{x), f( x) x f(x) Iteration 2: xi, Xu, Xr, f{x), f(x), f(x) x f(x-), öa% Table 1 i f(x) f (x,) f(x)xf(x,) 6. 4 (b) Find the value of max imum deflection, y by substituting the x value from part (a) into Eq. (1)

125 EZL (-x* + 21²x² – L^x) Eq. (1) where L= 6 m, E=5x10*kN/m², Z=3x104m“, w,-250 kN/m, and x is distance of deflection at any point from A to B. (a) Use bisection method to determine point x at maximum deflection (i.e, the value of x where dy/dx = 0). Use initial guess of x =0 m and xy= 6 m to' achieve ɛs = 7%. Only show the 1* and 2nd iterations in full calculation and use 4 decimal places for all your answers. Summarize your answers in Table 1. (a) (x - L. y- 0) (r- 0, y= 0) (b) Figure 1(a) The original beam, 1(b) The deflected beam Iteration 1; x1, Xu, X, f{x), f{x), f( x) x f(x) Iteration 2: xi, Xu, Xr, f{x), f(x), f(x) x f(x-), öa% Table 1 i f(x) f (x,) f(x)xf(x,) 6. 4 (b) Find the value of max imum deflection, y by substituting the x value from part (a) into Eq. (1)

Structural Analysis
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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y = 125 EZL -(-x5 + 2L²x³ – L*x) Eq. (1) where L=6 m, E=5x10*kN/m², Z=3x10+m“, w,-250 kN/m, and x is distance of deflection at any point from A to B. (a) Use bisection method to determine point x at maximum deflection (i.e, the value of x where dy/dx = 0). Use initial guess of x= 0 m and x4= 6 m to achieve ɛs = 7%. Only show the 1* and 2nd iterations in full calculation and use 4 decimal places for all your answers. Summarize your answers in Table 1. (a) (x = L, y = 0) (r = 0, y = 0) B (b) Figure 1(a) The original beam, 1(b) The deflected beam lteration l: xi, Хa, Х, fx), fx.), { х) х fx) Iteration 2: x, Xu, Xr, f(x1), f(x-), f(x1) x f(x;), Eal% Table 1 i f(x) f(x,) f(x)xf(x,) 1 6. 3 4 (b) Find the value of maximum deflection, y by substituting the x value from part (a) into Eq. (1)
Transcribed Image Text:y = 125 EZL -(-x5 + 2L²x³ – L*x) Eq. (1) where L=6 m, E=5x10*kN/m², Z=3x10+m“, w,-250 kN/m, and x is distance of deflection at any point from A to B. (a) Use bisection method to determine point x at maximum deflection (i.e, the value of x where dy/dx = 0). Use initial guess of x= 0 m and x4= 6 m to achieve ɛs = 7%. Only show the 1* and 2nd iterations in full calculation and use 4 decimal places for all your answers. Summarize your answers in Table 1. (a) (x = L, y = 0) (r = 0, y = 0) B (b) Figure 1(a) The original beam, 1(b) The deflected beam lteration l: xi, Хa, Х, fx), fx.), { х) х fx) Iteration 2: x, Xu, Xr, f(x1), f(x-), f(x1) x f(x;), Eal% Table 1 i f(x) f(x,) f(x)xf(x,) 1 6. 3 4 (b) Find the value of maximum deflection, y by substituting the x value from part (a) into Eq. (1)
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