The following equation can be used to model the deflection of a sailboat mast subject to a wind force: dy _ f(z) dz? | 2EI where f(z) = wind force, E modulus of elasticity, L mast length, and I moment of inertia. Note that the force varies with height according to f(z) = 200z e-22/30 5 + z Calculate the deflection by Runge-Kutta fourth Order method in excel saftware if y= 0 and dy/dz = 0 at z = 0. Use parameter values of L= 30, E = 1.25 x 10°, and I = 0.05 for your computation. (Step size AL=1,Lo =0, L 30 = 30)
The following equation can be used to model the deflection of a sailboat mast subject to a wind force: dy _ f(z) dz? | 2EI where f(z) = wind force, E modulus of elasticity, L mast length, and I moment of inertia. Note that the force varies with height according to f(z) = 200z e-22/30 5 + z Calculate the deflection by Runge-Kutta fourth Order method in excel saftware if y= 0 and dy/dz = 0 at z = 0. Use parameter values of L= 30, E = 1.25 x 10°, and I = 0.05 for your computation. (Step size AL=1,Lo =0, L 30 = 30)
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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Solve with Runge–Kutta fourth order method in excel software
Transcribed Image Text:The following equation can be used to model the deflection of a sailboat mast subject to a wind force:
dy _ f(z)
dz?
2EI
(2 - 7)
= modulus of elasticity, L mast length, and I= moment of inertia. Note that the force
where f(z) = wind force, E
varies with height according to
200z
e-2z/30
5+ z
f(z) =
Calculate the deflection by Runge-Kutta fourth Order method in excel saftware if y = 0 and dydz = 0 at z= 0.
Use parameter values of L = 30, E = 1.25 x 10°, and I= 0.05 for your computation. (Step size AL=1, L, = 0 , L 30 = 30)
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