Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
The bar OABC has multiple bends in different direction has a force F₁ = {-100.} N applied at point B, anc force ₂ ={-100 + 300 · 3 + 100 · } N applied a F2 i C. Using the listed parameters, find the equivalent force moment applied at O as Cartesian vectors. X Z CC 30 BY NO SA 2021 Cathy Zupke Al দ ----2-- parameter value BI units F₁ -3 C y F2

The bar OABC has multiple bends in different direction has a force F₁ = {-100.} N applied at point B, anc force ₂ ={-100 + 300 · 3 + 100 · } N applied a F2 i C. Using the listed parameters, find the equivalent force moment applied at O as Cartesian vectors. X Z CC 30 BY NO SA 2021 Cathy Zupke Al দ ----2-- parameter value BI units F₁ -3 C y F2

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
**Analysis of Forces and Moments on a Bent Bar:** The bar \( OABC \) has multiple bends in different directions. It has a force \( \vec{F_1} = \{-100 \cdot \hat{k}\} \) N applied at point \( B \), and a force \( \vec{F_2} = \{-100 \cdot \hat{i} + 300 \cdot \hat{j} + 100 \cdot \hat{k}\} \) N applied at point \( C \). Using the listed parameters, find the equivalent force and moment applied at \( O \) as Cartesian vectors. ### Diagram Explanation: - **Diagram Description:** - A three-dimensional diagram depicts a bent bar \( OABC \) with three segments. - The z-axis is vertical, the x-axis is horizontal towards the right, and the y-axis is towards the back. - Point \( O \) is on the x-axis. From \( O \), the bar goes vertically up \( L_1 \) to point \( A \), horizontally along the y-axis \( L_2 \) to point \( B \), and then diagonally in the yz-plane \( L_3 \) to point \( C \). - **Forces:** - \( \vec{F_1} \) is a vertical downward force at point \( B \). - \( \vec{F_2} \) is a force acting at point \( C \) with components in all three directions. ### Parameters Table: | Parameter | Value | Units | |-----------|-------|-------| | \( L_1 \) | 0.5 | m | | \( L_2 \) | 1 | m | | \( L_3 \) | 1 | m | **NOTE:** Use \( i, j, k \) for \( \hat{i}, \hat{j}, \hat{k} \). #### Calculations to be Performed: - **Resultant Force at Point \( A \):** \( \text{The resultant force at point } A = \{\} \) N - **Resultant Couple Moment About Point \( A \):** \( \text{The resultant couple moment about point } A = \{\} \) N·m
Transcribed Image Text:**Analysis of Forces and Moments on a Bent Bar:** The bar \( OABC \) has multiple bends in different directions. It has a force \( \vec{F_1} = \{-100 \cdot \hat{k}\} \) N applied at point \( B \), and a force \( \vec{F_2} = \{-100 \cdot \hat{i} + 300 \cdot \hat{j} + 100 \cdot \hat{k}\} \) N applied at point \( C \). Using the listed parameters, find the equivalent force and moment applied at \( O \) as Cartesian vectors. ### Diagram Explanation: - **Diagram Description:** - A three-dimensional diagram depicts a bent bar \( OABC \) with three segments. - The z-axis is vertical, the x-axis is horizontal towards the right, and the y-axis is towards the back. - Point \( O \) is on the x-axis. From \( O \), the bar goes vertically up \( L_1 \) to point \( A \), horizontally along the y-axis \( L_2 \) to point \( B \), and then diagonally in the yz-plane \( L_3 \) to point \( C \). - **Forces:** - \( \vec{F_1} \) is a vertical downward force at point \( B \). - \( \vec{F_2} \) is a force acting at point \( C \) with components in all three directions. ### Parameters Table: | Parameter | Value | Units | |-----------|-------|-------| | \( L_1 \) | 0.5 | m | | \( L_2 \) | 1 | m | | \( L_3 \) | 1 | m | **NOTE:** Use \( i, j, k \) for \( \hat{i}, \hat{j}, \hat{k} \). #### Calculations to be Performed: - **Resultant Force at Point \( A \):** \( \text{The resultant force at point } A = \{\} \) N - **Resultant Couple Moment About Point \( A \):** \( \text{The resultant couple moment about point } A = \{\} \) N·m
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Graphical methods
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
SEE MORE TEXTBOOKS