Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A cantiliver of 4 m span subjected to an udl ...
Start Learning for Free
A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2?
Most Upvoted Answer
A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximu...
Maximum Slope and Deflection of Cantilever Beam
Given Data:
- Span of Cantilever Beam, L = 4m
- Uniformly Distributed Load, w = 5kN/m
- Flexural Rigidity, EI = 8x10^4 kN/m^2
Maximum Slope:
The maximum slope of the cantilever beam can be calculated using the following formula:
θmax = (wL^3)/(6EI)
Substituting the given values, we get:
θmax = (5x4^3)/(6x8x10^4) = 0.05 radians or 2.86 degrees
Maximum Deflection:
The maximum deflection of the cantilever beam can be calculated using the following formula:
ymax = (wL^4)/(8EI)
Substituting the given values, we get:
ymax = (5x4^4)/(8x8x10^4) = 0.05m or 50mm
Explanation:
A cantilever beam is a type of beam that is supported at only one end. The other end is free to move, and hence it is called the free end. When a uniformly distributed load is applied to the beam, it causes a bending moment to be developed along the length of the beam.
The maximum slope and deflection of the cantilever beam occur at the free end. The slope is the angle between the tangent to the deflected shape of the beam and the horizontal axis. The deflection is the distance between the original position of the free end and its deflected position.
The flexural rigidity of the beam is a measure of its resistance to bending. It depends on the material properties, cross-sectional geometry, and length of the beam. The higher the flexural rigidity, the lower the slope and deflection of the beam for a given load.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2?
Question Description
A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2?.
A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2?.
Solutions for A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2? defined & explained in the simplest way possible. Besides giving the explanation of
A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2?, a detailed solution for A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2? has been provided alongside types of A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2? theory, EduRev gives you an
ample number of questions to practice A cantiliver of 4 m span subjected to an udl of 5kn/m. Find the maximum slope and deflection at free end. If the flexural rigidity is 8×10^4 kN/m^2? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup