To find the reaction forces F1, F2 and F3 acting on a simply-supported beam, the following simultaneous equations have been obtained: a Fi +14 F2+ 5 F3 d 6 F1 +b F2+ 9 F3 = e 10 F1 + 3 F2+ c F3 =f Calculate the reaction forces using the following methods: a) The determinant method b) Gaussian elimination

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
a=8 b=2 C=15 d=419 e=327 f=542
Task 4
To find the reaction forces F1, F2 and F3 acting on a simply-supported beam, the following
simultaneous equations have been obtained:
a F1 +14 F2+ 5 F3 = d
6 F1 + b F2+ 9 F3 = e
10 F1 + 3 F2 + c F3 = f
Calculate the reaction forces using the following methods:
a) The determinant method
b) Gaussian elimination
c) The inverse matrix method
Transcribed Image Text:Task 4 To find the reaction forces F1, F2 and F3 acting on a simply-supported beam, the following simultaneous equations have been obtained: a F1 +14 F2+ 5 F3 = d 6 F1 + b F2+ 9 F3 = e 10 F1 + 3 F2 + c F3 = f Calculate the reaction forces using the following methods: a) The determinant method b) Gaussian elimination c) The inverse matrix method
Expert Solution
steps

Step by step

Solved in 7 steps with 7 images

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,