Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
9 In solving certain problems involving support beams in engineering, the fourth-order differential equation y"" = 2*y is encountered, which is sometimes written as y) = 2*y. a Show that y Aex + Be-Ax + C cos àx + D sin Ax is a solution of the DE. %3D b A beam rests on a support at a point O. At a horizontal distance x along the beam, the downwards deflection is y. Thus y (0) = 0, and we may also assume that y" (0) = 0. Find the value of C. c If the beam is also resting on a support at x = 10, then both y(10) = 0 and y" (10) = 0. From this it can be shown that 2 = 5. i Use these results to show that A = B = 0. ii Write down the solution of the beam IVP.

9 In solving certain problems involving support beams in engineering, the fourth-order differential equation y"" = 2*y is encountered, which is sometimes written as y) = 2*y. a Show that y Aex + Be-Ax + C cos àx + D sin Ax is a solution of the DE. %3D b A beam rests on a support at a point O. At a horizontal distance x along the beam, the downwards deflection is y. Thus y (0) = 0, and we may also assume that y" (0) = 0. Find the value of C. c If the beam is also resting on a support at x = 10, then both y(10) = 0 and y" (10) = 0. From this it can be shown that 2 = 5. i Use these results to show that A = B = 0. ii Write down the solution of the beam IVP.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
9 b C = 0 c ii y = D sin x %3D
Transcribed Image Text:9 b C = 0 c ii y = D sin x %3D
9 In solving certain problems involving support beams in engineering, the fourth-order differential = 1ªy is encountered, which is sometimes written as y(4) Ae1x + Be-x + C cos Ax + D sin Ax is a solution of the DE. b A beam rests on a support at a point O. At a horizontal distance x along the beam, the downwards equation y" = ^*y. a Show that y = deflection is y. Thus y (0) 0, and we may also assume that y" (0) = 0. Find the value of C. C If the beam is also resting on a support at x = 10, then both y (10) :0 and y" (10) = 0. From this it can be shown that 2 пл 10 i Use these results to show that A = B = 0. ii Write down the solution of the beam IVP.
Transcribed Image Text:9 In solving certain problems involving support beams in engineering, the fourth-order differential = 1ªy is encountered, which is sometimes written as y(4) Ae1x + Be-x + C cos Ax + D sin Ax is a solution of the DE. b A beam rests on a support at a point O. At a horizontal distance x along the beam, the downwards equation y" = ^*y. a Show that y = deflection is y. Thus y (0) 0, and we may also assume that y" (0) = 0. Find the value of C. C If the beam is also resting on a support at x = 10, then both y (10) :0 and y" (10) = 0. From this it can be shown that 2 пл 10 i Use these results to show that A = B = 0. ii Write down the solution of the beam IVP.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
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,
SEE MORE TEXTBOOKS