Derive the following equation of maximum deflection using double integration method

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.46P
icon
Related questions
Question
Derive the following equation of maximum deflection using double integration method
7.
8.
M
b
10,
0,4
10,
a
'max
Pbx
(1² –x² -b²) for 0<x<a
y =
6IEI
x?
Pb
y =
6IEI
(x-a)'+(* -b')x-x'|
Mlx
y
6ΕΙ
for a <x<l
3/2
MI?
Pb(1² -b³)*
8.
at x=
at x= 1* -b² ) /3
9/3 EI
max
max
Pb
MI?
8=-
(31² – 4b² ) at the center, if a >b
at the center
48EI
16EI
Transcribed Image Text:7. 8. M b 10, 0,4 10, a 'max Pbx (1² –x² -b²) for 0<x<a y = 6IEI x? Pb y = 6IEI (x-a)'+(* -b')x-x'| Mlx y 6ΕΙ for a <x<l 3/2 MI? Pb(1² -b³)* 8. at x= at x= 1* -b² ) /3 9/3 EI max max Pb MI? 8=- (31² – 4b² ) at the center, if a >b at the center 48EI 16EI
10.
0,
(),
(0,X
360IEI
8 = 0.00652-
at x = 0.5191
EI
max
d = 0.00651"
at the center
EI
Transcribed Image Text:10. 0, (), (0,X 360IEI 8 = 0.00652- at x = 0.5191 EI max d = 0.00651" at the center EI
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Slope and Deflection
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
International Edition---engineering Mechanics: St…
International Edition---engineering Mechanics: St…
Mechanical Engineering
ISBN:
9781305501607
Author:
Andrew Pytel And Jaan Kiusalaas
Publisher:
CENGAGE L