El is constant for the beam shown in Figure 4. • Compute the rotation of the beam at B. • Compute the vertical deflection at B. Use the method of virtual work e.g visual integration, the principle of superposition. Handwritten work only and pls ensure neatness.
El is constant for the beam shown in Figure 4. • Compute the rotation of the beam at B. • Compute the vertical deflection at B. Use the method of virtual work e.g visual integration, the principle of superposition. Handwritten work only and pls ensure neatness.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
El is constant for the beam shown in Figure 4.
• Compute the rotation of the beam at B.
• Compute the vertical deflection at B.
Use the method of virtual work e.g visual integration, the principle of superposition. Handwritten work only and pls ensure neatness.
Transcribed Image Text:**Figure 4**
**Diagram Description:**
- The structure depicted in Figure 4 is a beam supported at three points: B, C, and D.
- Point A to B is subjected to a uniformly distributed load (UDL) of 3 k/ft over an 8-foot span.
- Point B is a pin support.
- Point C is 12 feet to the right of point B and has a downward concentrated force of 9 k.
- Point D, located 12 feet to the right of point C, is a roller support.
- The total length of the beam is 32 feet (8 ft. + 12 ft. + 12 ft.).
### Detailed Analysis:
- **UDL from A to B:**
- This section of the beam experiences a uniformly distributed load of 3 k/ft over an 8-foot span, resulting in a total load of 24 k (3 k/ft * 8 ft).
- **Point C Load:**
- Point C has a concentrated load of 9 k acting downward.
- **Supports:**
- **Support B:** Pin support at point B allows rotation but restricts translation in both the horizontal and vertical directions.
- **Support D:** Roller support at point D restricts vertical translation but allows horizontal movement.
### Key Distances:
- Distance from A to B: 8 feet
- Distance from B to C: 12 feet
- Distance from C to D: 12 feet
This diagram is typically used for structural analysis in engineering disciplines to determine reactions at the supports, shear forces, and bending moments along the beam.
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 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