Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
Determine the slope and displacement at point B. Assume the support at A is a pin and C is a roller. Account for the additional strain energy due to shear if the cross section is

Determine the slope and displacement at point B. Assume the support at A is a pin and C is a roller. Account for the additional strain energy due to shear if the cross section is

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

Determine the slope and displacement at point B. Assume the support at A is a pin and C is a roller. Account for the additional strain energy due to shear if the cross section is a wide flange. Take E=200Gpa, I=150(10^6)mm^4, G=75Gpa, and assume AC has a cross section web area of A=2.50(10^3)mm^2. Use the method of virtual work

### Engineering Mechanics: Beam Problems and Analysis #### Problem 8-34 Determine the slope and displacement at point \( B \). Assume the support at \( A \) is a pin and \( C \) is a roller. Given: - Modulus of Elasticity, \( E = 200 \, \text{GPa} \) - Moment of Inertia, \( I = 150 \times 10^6 \, \text{mm}^4 \) Use the method of virtual work. #### Problem 8-35 Solve Problem 8-34 using Castigliano’s theorem. #### Problem 8-36 Determine the slope and displacement at point \( B \). Assume the support at \( A \) is a pin and \( C \) is a roller. Consider additional strain energy due to shear if the cross-section is a wide flange. Given: - Modulus of Elasticity, \( E = 200 \, \text{GPa} \) - Moment of Inertia, \( I = 150 \times 10^6 \, \text{mm}^4 \) - Shear Modulus, \( G = 75 \, \text{GPa} \) - Cross-sectional web area, \( A = 2.5 \times 10^3 \, \text{mm}^2 \) Use the method of virtual work. --- #### Problem 8-39 Use the method of virtual work to find the displacement of point \( C \) of the beam. Given: - Modulus of Elasticity, \( E = 29 \times 10^6 \, \text{ksi} \) - Moment of Inertia, \( I = 245 \, \text{in}^4 \) #### Problem 8-40 Use the method of virtual work to find the slope at point \( A \) of the beam made of: - Moment of Inertia, \( I = 245 \, \text{in}^4 \) #### Problem 8-41 Solve Problem 8-40 using Castigliano’s theorem. --- ### Diagram Explanation In both diagrams: 1. **First Diagram:** - A simply supported beam \( AC \) is shown with a uniformly distributed load of \( 16 \, \text{kN/m} \). - Supports are located at \( A \) (pin)
Transcribed Image Text:### Engineering Mechanics: Beam Problems and Analysis #### Problem 8-34 Determine the slope and displacement at point \( B \). Assume the support at \( A \) is a pin and \( C \) is a roller. Given: - Modulus of Elasticity, \( E = 200 \, \text{GPa} \) - Moment of Inertia, \( I = 150 \times 10^6 \, \text{mm}^4 \) Use the method of virtual work. #### Problem 8-35 Solve Problem 8-34 using Castigliano’s theorem. #### Problem 8-36 Determine the slope and displacement at point \( B \). Assume the support at \( A \) is a pin and \( C \) is a roller. Consider additional strain energy due to shear if the cross-section is a wide flange. Given: - Modulus of Elasticity, \( E = 200 \, \text{GPa} \) - Moment of Inertia, \( I = 150 \times 10^6 \, \text{mm}^4 \) - Shear Modulus, \( G = 75 \, \text{GPa} \) - Cross-sectional web area, \( A = 2.5 \times 10^3 \, \text{mm}^2 \) Use the method of virtual work. --- #### Problem 8-39 Use the method of virtual work to find the displacement of point \( C \) of the beam. Given: - Modulus of Elasticity, \( E = 29 \times 10^6 \, \text{ksi} \) - Moment of Inertia, \( I = 245 \, \text{in}^4 \) #### Problem 8-40 Use the method of virtual work to find the slope at point \( A \) of the beam made of: - Moment of Inertia, \( I = 245 \, \text{in}^4 \) #### Problem 8-41 Solve Problem 8-40 using Castigliano’s theorem. --- ### Diagram Explanation In both diagrams: 1. **First Diagram:** - A simply supported beam \( AC \) is shown with a uniformly distributed load of \( 16 \, \text{kN/m} \). - Supports are located at \( A \) (pin)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Beams
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.
Similar questions
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