Concept explainers
(a)
To write: an equation of the parabola with its vertex at the origin that models the slope of the beam.
(a)
Answer to Problem 65E
The equation to the parabola is
Explanation of Solution
Given information:
A simply supported beam is 64 feet long and has a load at the center. The deflection of the beam at its center is 1 inch. The shape of the deflected beam is parabolic.
Calculation:
Consider a beam
The shape of the deflected beam is parabola opening upwards and with the vertex at the origin; the parabola is in the standard form. So its equation is given by
Now, the coordinates of the points 3
Therefore, the equation to the parabola is
(b)
To find: the distance the center of the beam.
(b)
Answer to Problem 65E
The deflection of the beam is
Explanation of Solution
Given information:
The deflection
Calculation:
Maximum deflection of the beam is 1 inch; so the deflection of
Take
Therefore the deflection of the beam is
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning