Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
Conjugate Beam: (constant EI) A t L Find Ou, Su using Conjugate x * PL Beam method

Conjugate Beam: (constant EI) A t L Find Ou, Su using Conjugate x * PL Beam method

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Conjugate Beam: Find theta C, delta C using conjugate beam method

(constant EI)

**Title: Conjugate Beam Method for Deflection Analysis** --- **Objective:** To find the slope (\(\Theta_c\)) and deflection (\(\delta_c\)) at point C using the Conjugate Beam Method. **Description:** The problem involves a beam fixed at point A with a length \(L\). There is a point load \(P\) applied at point C, located at a distance \(x\) from A. The load causes a moment \(PL\). - **Beam Details:** - Length: \(L\) - Point of interest: C - Load applied: \(P\) at point C - Distance from fixed support A to point C: \(x\) - Moment caused by load: \(PL\) - Material's flexural rigidity assumed constant (\(EI\)). **Goal:** Use the conjugate beam method to determine: - The slope at point C, \(\Theta_c\) - The deflection at point C, \(\delta_c\) **Approach:** The conjugate beam method involves analyzing an imaginary beam (the "conjugate beam") with the same length as the original. Reactions and loads on this beam correspond to the bending moments and slopes from the original beam. **Note:** To fully solve the problem, apply equilibrium equations and use appropriate boundary conditions and material properties to calculate \(\Theta_c\) and \(\delta_c\) at point C.
Transcribed Image Text:**Title: Conjugate Beam Method for Deflection Analysis** --- **Objective:** To find the slope (\(\Theta_c\)) and deflection (\(\delta_c\)) at point C using the Conjugate Beam Method. **Description:** The problem involves a beam fixed at point A with a length \(L\). There is a point load \(P\) applied at point C, located at a distance \(x\) from A. The load causes a moment \(PL\). - **Beam Details:** - Length: \(L\) - Point of interest: C - Load applied: \(P\) at point C - Distance from fixed support A to point C: \(x\) - Moment caused by load: \(PL\) - Material's flexural rigidity assumed constant (\(EI\)). **Goal:** Use the conjugate beam method to determine: - The slope at point C, \(\Theta_c\) - The deflection at point C, \(\delta_c\) **Approach:** The conjugate beam method involves analyzing an imaginary beam (the "conjugate beam") with the same length as the original. Reactions and loads on this beam correspond to the bending moments and slopes from the original beam. **Note:** To fully solve the problem, apply equilibrium equations and use appropriate boundary conditions and material properties to calculate \(\Theta_c\) and \(\delta_c\) at point C.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Matrix algebra for structural analysis
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
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS