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The equation for the maximum deflection as a function of x is given by: -0.67665x10x -0.26689x10x³ +0.12748×10³ x² -0.018507-0 Use the Secant method of finding roots of equations to find the

The equation for the maximum deflection as a function of x is given by: -0.67665x10x -0.26689x10x³ +0.12748×10³ x² -0.018507-0 Use the Secant method of finding roots of equations to find the

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The vertical deflection of a certain beam is given by: 4 v(x) = 0.42493x10x³ -0.13533x108x5 -0.66722x10x -0.018507.x where x is the position along the length of the beam. Hence to find dv = 0 and the maximum deflection, we need to find where f (x) = dx conduct the second derivative test. The equation for the maximum deflection as a function of x is given by: -0.67665x10x*-0.26689x10x³ +0.12748×10³x² -0.018507 = 0 Use the Secant method of finding roots of equations to find the position x where the deflection is maximum. Use initial guess of the root as xo - 10 and 1 15.
Transcribed Image Text:The vertical deflection of a certain beam is given by: 4 v(x) = 0.42493x10x³ -0.13533x108x5 -0.66722x10x -0.018507.x where x is the position along the length of the beam. Hence to find dv = 0 and the maximum deflection, we need to find where f (x) = dx conduct the second derivative test. The equation for the maximum deflection as a function of x is given by: -0.67665x10x*-0.26689x10x³ +0.12748×10³x² -0.018507 = 0 Use the Secant method of finding roots of equations to find the position x where the deflection is maximum. Use initial guess of the root as xo - 10 and 1 15.
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