Question 4 For small deflections, the shape of a beam is modelled by the equation: El y" - w, where E is Young's modulus for the material, I is the second moment of area of a cross section of the beam, and y is the displacement from the straight line position. A uniform heavy beam of length L metres, with downward force density w N/m, is built in at the end x = 0, and hangs free at its other end. (al Sketch a diagram that models this situation. (0) State all the boundary conditions that apply and explain fully their meaning.
Question 4 For small deflections, the shape of a beam is modelled by the equation: El y" - w, where E is Young's modulus for the material, I is the second moment of area of a cross section of the beam, and y is the displacement from the straight line position. A uniform heavy beam of length L metres, with downward force density w N/m, is built in at the end x = 0, and hangs free at its other end. (al Sketch a diagram that models this situation. (0) State all the boundary conditions that apply and explain fully their meaning.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
Solve q4 a and b both parts plz solve this in maximum one hour if u can't solve this u can reject in half hour so that i can't wait of your answer plz..

Transcribed Image Text:Question 4
For small deflections, the shape of a beam is modelled by the equation:
El y" = w,
where E is Young's modulus for the material, I is the second moment of area of a cross section
of the beam, and y is the displacement from the straight line position.
A uniform heavy beam of length L metres, with downward force density w Nim, is built in at the
end x = 0, and hangs free at its other end.
(a) Sketch a diagram that models this situation.
(0) State all the boundary conditions that apply and explain fully their meaning.
(c) Show, by integration, that the deflection of the beam x metres from one end is described by
the equation
24 EI
(d) State the value of x at which the maximum deflection occurs and hence show the maximum
deflection, ymars of a heavy beam of length L is given by
Ymax =
8EI
You are given the following details.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you


Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning


Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning

Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education


Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning