Problem 7.35 Use the virtual work method to determine the slope and deflection at point D of the beam shown. 35 k 2.5 k/ft Hinge A B -16 ft- -8 ft -8 ft 1= 4,000 in.+ 1= 3,000 in.4 E = constant = 30,000 ksi
Problem 7.35 Use the virtual work method to determine the slope and deflection at point D of the beam shown. 35 k 2.5 k/ft Hinge A B -16 ft- -8 ft -8 ft 1= 4,000 in.+ 1= 3,000 in.4 E = constant = 30,000 ksi
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
100%

Transcribed Image Text:**Problem 7.35**
Use the virtual work method to determine the slope and deflection at point D of the beam shown.
---
**Diagram Explanation:**
- **Beam Layout:**
- The beam spans a total of 32 feet, divided into three sections:
- \(AB = 16 \text{ ft}\)
- \(BC = 8 \text{ ft}\)
- \(CD = 8 \text{ ft}\)
- **Loads:**
- A uniformly distributed load (UDL) of \(2.5 \text{ k/ft}\) acts over the section \(AB\).
- A point load of \(35 \text{ k}\) is applied at point \(D\).
- **Support and Connections:**
- There is a hinge connection at point \(C\).
- **Material Properties:**
- The moment of inertia \(I\) is \(4,000 \text{ in}^4\) from \(A\) to \(B\) and \(3,000 \text{ in}^4\) from \(B\) to \(D\).
- The modulus of elasticity \(E\) is constant at \(30,000 \text{ ksi}\).
The task is to calculate the slope and deflection at point \(D\) using the virtual work method with these variables.
Expert Solution

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