Q3 Draw the shear and moment diagrams for each member of the frame. Assume the frame is pin connected at A, and C is a roller. 4 k/ft Solution 4K •160 K.ft... 40k #h 15k 4k 10' 14k 15k 15k 4 10k 36k 15 k 4 ft B 10 k->>> 4 ft -10 ft
Q3 Draw the shear and moment diagrams for each member of the frame. Assume the frame is pin connected at A, and C is a roller. 4 k/ft Solution 4K •160 K.ft... 40k #h 15k 4k 10' 14k 15k 15k 4 10k 36k 15 k 4 ft B 10 k->>> 4 ft -10 ft
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Solve question 3
Transcribed Image Text:### Problem Statement
**Q3**: Draw the shear and moment diagrams for each member of the frame. Assume the frame is pin connected at **A**, and **C** is a roller.
### Solution
#### Description of the Frame
The frame is depicted as a vertical and horizontal beam structure:
- **AB**: A vertical member connected to point **A** at the bottom and point **B** at the top. The total height of the member **AB** is 8 ft, with a vertical force of 15 kips (k) applied downward at **B** and another 15 k force at the top (B).
- **BC**: A horizontal member spanning 10 ft from **B** to **C**. It is subjected to three main forces:
- A uniformly distributed load of 4 kips/ft, along the entire length from **B** to **C**.
- A point load of 40 k applied vertically downward at the junction.
- A reaction support at **C** due to its roller connection.
- The frame at point **A** supports a horizontal component of 10 k and vertical 15 k.
#### Diagrams
- **Shear Force Diagram**:
- There is a calculation of shear forces along members **AB** and **BC**. Shear transitions occur at points of force application and changes in geometry.
- At the midpoint of **AB**, there is a transition from 15k to 15k at **B**.
- Over the span **BC**, shear drops due to the uniform load and makes a significant transition downward at the application of the 40 k force.
- **Moment Diagram**:
- The bending moment along the frame is influenced by forces and reactions at points **A**, **B**, and **C**.
- There is a linearly increasing moment in region **AB**, peaking just below the connection at **B**.
- Over **BC**, moment diagrams are trapezoidal and parabolic in shape, influenced by the continuous load and abrupt change at the point load.
#### Notable Points in Calculations
- A reaction at **A** due to the pin connection resists both vertical and horizontal loads.
- Point **C**, being a roller, can only resist vertical forces, providing no resistance to horizontal components.
- The moment at point **A** is zero due to pin support.
This
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 5 steps with 7 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