For the frame and loading shown, determine the internal forces at the point indicated: J and K if the force acting on A and C are both changed from 250N to 250N. -80 mm- 80 mm 250 N Solution: B K 250 N C • From EBD, all reaction = . • At point J: 1. ΣF = 0: 1). Nomial force F = 120 mm 20 mm 20 mm 2). Shear force V = 40 mm 160 N Compression 2). Shear force V = 190 N Point outside the roof • At point K: 1. ΣF = 0: 1). Nomial force F = 160 3). Bending moment = 200 Nm tension under N Tension ◆ 19C N point into the roof 3). Bending moment = 150 Nm tension above ◆

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Homework #2
### Transcription of Educational Content:

For the frame and loading shown, determine the internal forces at the points indicated: J and K if the force acting on A and C are both changed from 250 N to 250 N.

#### Diagram Description:
The diagram depicts a structural frame subjected to loads. The frame forms an inverted V shape with legs extending downwards. At the base, there are forces of 250 N each acting at points A and C. The structure has a horizontal top beam labeled B and vertical sections labeled J and K. Dimensions are given as follows:
- Horizontal sections from left support (A) to B and right support (C) to B are 80 mm each.
- Vertical distances between sections are 20 mm each, spaced over three sections from top to bottom.

#### Solution:

1. **From FBD, all reactions =**

2. **At Point J:**
   - \( \Sigma F = 0 \)

   1. Nominal force \( F = 160 \, \text{N} \) [Compression]
   2. Shear force \( V = 190 \, \text{N} \) [Point outside the roof]
   3. Bending moment \( = 20 \, \text{Nm} \) [Tension under]

3. **At Point K:**
   - \( \Sigma F = 0 \)

   1. Nominal force \( F = 160 \, \text{N} \) [Tension]
   2. Shear force \( V = 190 \, \text{N} \) [Point into the roof]
   3. Bending moment \( = 15 \, \text{Nm} \) [Tension above]

This solution outlines the calculation of internal forces at specified points in a structural frame subjected to load changes, providing insights into compression, shear, and bending moments.
Transcribed Image Text:### Transcription of Educational Content: For the frame and loading shown, determine the internal forces at the points indicated: J and K if the force acting on A and C are both changed from 250 N to 250 N. #### Diagram Description: The diagram depicts a structural frame subjected to loads. The frame forms an inverted V shape with legs extending downwards. At the base, there are forces of 250 N each acting at points A and C. The structure has a horizontal top beam labeled B and vertical sections labeled J and K. Dimensions are given as follows: - Horizontal sections from left support (A) to B and right support (C) to B are 80 mm each. - Vertical distances between sections are 20 mm each, spaced over three sections from top to bottom. #### Solution: 1. **From FBD, all reactions =** 2. **At Point J:** - \( \Sigma F = 0 \) 1. Nominal force \( F = 160 \, \text{N} \) [Compression] 2. Shear force \( V = 190 \, \text{N} \) [Point outside the roof] 3. Bending moment \( = 20 \, \text{Nm} \) [Tension under] 3. **At Point K:** - \( \Sigma F = 0 \) 1. Nominal force \( F = 160 \, \text{N} \) [Tension] 2. Shear force \( V = 190 \, \text{N} \) [Point into the roof] 3. Bending moment \( = 15 \, \text{Nm} \) [Tension above] This solution outlines the calculation of internal forces at specified points in a structural frame subjected to load changes, providing insights into compression, shear, and bending moments.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Forces and stresses
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