3. Consider a simply supported beam of length 6 m subjected to a loading w(x) = 10e-(x-3)² Therefore, the bending moment is given as the solution of the boundary value problem d²M dx² -=-10e-(x-3)²; M(0) = 0, M(6)=0 Use the shooting method to approximate the solution of the boundary value problem and find the shearing force at x = 0 m? dM (Hint: V is the shear force and dx dv dx = -10e-(x-3)²)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Consider a simply supported beam of length 6 m subjected to a loading
w(x) = 10e-(x-3)²
Therefore, the bending moment is given as the solution of the boundary value problem
d²M
dx²
-=-10e-(x-3)²; M(0) = 0, M(6) = 0
Use the shooting method to approximate the solution of the boundary value problem and
find the shearing force at x = 0 m?
(Hint: V =
dM
dv
is the shear force and = -10e-(x-3)²)
dx
dx
Transcribed Image Text:3. Consider a simply supported beam of length 6 m subjected to a loading w(x) = 10e-(x-3)² Therefore, the bending moment is given as the solution of the boundary value problem d²M dx² -=-10e-(x-3)²; M(0) = 0, M(6) = 0 Use the shooting method to approximate the solution of the boundary value problem and find the shearing force at x = 0 m? (Hint: V = dM dv is the shear force and = -10e-(x-3)²) dx dx
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