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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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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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