Part C-Maximum deflection What is the maximum deflection of the beam? Express your answer in terms of E, I, w, and L. ► View Available Hint(s) Umax = 197| ΑΣΦ ↓↑ vec ?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.2.1P: A 10-ft rigid bar AB is supported with a vertical translational spring at A and a pin at B. The bar...
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Parts A and B have already been answered, please find vmax

A beam is subjected to a uniform load w and is supported by a pin support at A and two rollers at B and C. This configuration is statically indeterminate to the first
degree. Use the method of integration to determine the maximum deflection.
Part A Write the moment function
M(x) = Ayx
Submit!
UT
2
A
Previous Answers
L
W
Since the loading and supports are symmetric, the vertical reactions at A and C must be the same and the shape of the elastic curve from A to B must be the same
as the shape of the curve from C to B. Write the moment function for the segment of the beam between A and B. Use the standard sign convention for beams.
Express your answer in terms of Ay, w, and x.
View Available Hint(s)
B
-I-
U
Transcribed Image Text:A beam is subjected to a uniform load w and is supported by a pin support at A and two rollers at B and C. This configuration is statically indeterminate to the first degree. Use the method of integration to determine the maximum deflection. Part A Write the moment function M(x) = Ayx Submit! UT 2 A Previous Answers L W Since the loading and supports are symmetric, the vertical reactions at A and C must be the same and the shape of the elastic curve from A to B must be the same as the shape of the curve from C to B. Write the moment function for the segment of the beam between A and B. Use the standard sign convention for beams. Express your answer in terms of Ay, w, and x. View Available Hint(s) B -I- U
Use the moment function from Part A to determine the equation for the elastic curve from A to B.
Express your answer in terms of w, x, and L.
►View Available Hint(s)
Elv(x) =
SUOTI
wL 3
16
Umax
x³
Correct
Wr4
205278
24
Previous Answers
Part C-Maximum deflection
What is the maximum deflection of the beam?
Express your answer in terms of E, I, w, and L.
► View Available Hint(s)
wL3
48
ΑΣΦ
↓↑ vec
t
COORD
CITIT
H
4
?
Transcribed Image Text:Use the moment function from Part A to determine the equation for the elastic curve from A to B. Express your answer in terms of w, x, and L. ►View Available Hint(s) Elv(x) = SUOTI wL 3 16 Umax x³ Correct Wr4 205278 24 Previous Answers Part C-Maximum deflection What is the maximum deflection of the beam? Express your answer in terms of E, I, w, and L. ► View Available Hint(s) wL3 48 ΑΣΦ ↓↑ vec t COORD CITIT H 4 ?
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