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The equation for the maximum deflection as a function of x is given by: -0.67665x10x¹ -0.26689×10x³ +0.12748×10 x²-0.018507-0 Use the Bisection method of finding roots of equations to find the position x where the deflection is maximum.

The equation for the maximum deflection as a function of x is given by: -0.67665x10x¹ -0.26689×10x³ +0.12748×10 x²-0.018507-0 Use the Bisection method of finding roots of equations to find the position x where the deflection is maximum.

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: v(x) = 0.42493×10x³ -0.13533×10¯³x² – 0.66722 × 10x¹ -0.018507x where x is the position along the length of the beam. Hence to find the maximum deflection, we need to find where f(x) = d = 0 and conduct the second derivative test. The equation for the maximum deflection as a function of x is given by: -0.67665x10x¹ -0.26689×10x³ +0.12748×10¯³x² -0.018507-0 Use the Bisection method of finding roots of equations to find the position x where the deflection is maximum. There is at least one root between 0 and 29. Use 6 decimal places and an error of 1x10-6. STRICTLY FOLLOW THE DECIMAL PLACES REQUIRED IN THIS PROBLEM.
Transcribed Image Text:The vertical deflection of a certain beam is given by: v(x) = 0.42493×10x³ -0.13533×10¯³x² – 0.66722 × 10x¹ -0.018507x where x is the position along the length of the beam. Hence to find the maximum deflection, we need to find where f(x) = d = 0 and conduct the second derivative test. The equation for the maximum deflection as a function of x is given by: -0.67665x10x¹ -0.26689×10x³ +0.12748×10¯³x² -0.018507-0 Use the Bisection method of finding roots of equations to find the position x where the deflection is maximum. There is at least one root between 0 and 29. Use 6 decimal places and an error of 1x10-6. STRICTLY FOLLOW THE DECIMAL PLACES REQUIRED IN THIS PROBLEM.
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