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
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,