Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
09:05 A rectangular slab has 4 applied forces, but only F₂ and F3 are known. It is known that the resultant force FR acts through the x, y coordinates (12, 10)m. Variable F2 F3 d₁ d₂ F₁ = F₁ d3 d₁ d5 Value wamap.org Z 12 KN 6 KN 8 m 12 m 4 m 16 m 6m F2 Values for the figure are given in the following table. Note the figure may not be to scale. F3 F4 ) KN d5 y a. Determine the magnitude of the forces F₁ and F4 if the resultant force FR acts through the x, y coordinates (12, 10)m. Round your final answers to 3 significant digits/figures.

09:05 A rectangular slab has 4 applied forces, but only F₂ and F3 are known. It is known that the resultant force FR acts through the x, y coordinates (12, 10)m. Variable F2 F3 d₁ d₂ F₁ = F₁ d3 d₁ d5 Value wamap.org Z 12 KN 6 KN 8 m 12 m 4 m 16 m 6m F2 Values for the figure are given in the following table. Note the figure may not be to scale. F3 F4 ) KN d5 y a. Determine the magnitude of the forces F₁ and F4 if the resultant force FR acts through the x, y coordinates (12, 10)m. Round your final answers to 3 significant digits/figures.

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
A rectangular slab has 4 applied forces, but only \( F_2 \) and \( F_3 \) are known. It is known that the resultant force \( F_R \) acts through the \( x, y \) coordinates \( (12, 10) \, m \). ### Diagram Description The diagram shows a rectangular slab with forces \( F_1, F_2, F_3, \) and \( F_4 \) acting vertically downward. The slab lies in the x-y plane with the z-axis perpendicular to it. The distances \( d_1, d_2, d_3, d_4, \) and \( d_5 \) are measured along the x and y axes. ### Given Values Values for the variables in the figure are listed in the following table. Note that the figure may not be to scale. | Variable | Value | |----------|--------| | \( F_2 \) | \( 12 \, \text{kN} \) | | \( F_3 \) | \( 6 \, \text{kN} \) | | \( d_1 \) | \( 8 \, \text{m} \) | | \( d_2 \) | \( 12 \, \text{m} \) | | \( d_3 \) | \( 4 \, \text{m} \) | | \( d_4 \) | \( 16 \, \text{m} \) | | \( d_5 \) | \( 6 \, \text{m} \) | ### Problem Determine the magnitude of the forces \( F_1 \) and \( F_4 \) if the resultant force \( F_R \) acts through the \( x, y \) coordinates \( (12, 10) \, m \). Round your final answers to 3 significant digits/figures. \[ F_1 = (\_\_\_\_) \, \text{kN} \]
Transcribed Image Text:A rectangular slab has 4 applied forces, but only \( F_2 \) and \( F_3 \) are known. It is known that the resultant force \( F_R \) acts through the \( x, y \) coordinates \( (12, 10) \, m \). ### Diagram Description The diagram shows a rectangular slab with forces \( F_1, F_2, F_3, \) and \( F_4 \) acting vertically downward. The slab lies in the x-y plane with the z-axis perpendicular to it. The distances \( d_1, d_2, d_3, d_4, \) and \( d_5 \) are measured along the x and y axes. ### Given Values Values for the variables in the figure are listed in the following table. Note that the figure may not be to scale. | Variable | Value | |----------|--------| | \( F_2 \) | \( 12 \, \text{kN} \) | | \( F_3 \) | \( 6 \, \text{kN} \) | | \( d_1 \) | \( 8 \, \text{m} \) | | \( d_2 \) | \( 12 \, \text{m} \) | | \( d_3 \) | \( 4 \, \text{m} \) | | \( d_4 \) | \( 16 \, \text{m} \) | | \( d_5 \) | \( 6 \, \text{m} \) | ### Problem Determine the magnitude of the forces \( F_1 \) and \( F_4 \) if the resultant force \( F_R \) acts through the \( x, y \) coordinates \( (12, 10) \, m \). Round your final answers to 3 significant digits/figures. \[ F_1 = (\_\_\_\_) \, \text{kN} \]
**Diagram Description:** The diagram displays a horizontal plane with four forces (\(F_1\), \(F_2\), \(F_3\), \(F_4\)) acting vertically downward at different points on the plane, which is oriented along the x and y axes. The coordinates are labeled, and the distances between the points of force application are given. **Diagram Details:** - \(F_1\), \(F_2\), \(F_3\), and \(F_4\) are represented as downward-pointing arrows. - The plane is marked at various distances, \(d_1\) to \(d_5\), along the axes. - \(F_1\) is located at a distance \(d_1\) along the x-axis from the y-axis. - \(F_2\) is at \(d_2\) from \(F_1\) along the x-axis. - \(F_3\) is located \(d_3\) from \(F_2\) along the x-axis. - \(F_4\) is \(d_4\) from \(F_3\) and \(d_5\) from the y-axis. **Table of Values:** The table provides the values of the forces and distances as follows: - \(F_2 = 12 \, \text{kN}\) - \(F_3 = 6 \, \text{kN}\) - \(d_1 = 8 \, \text{m}\) - \(d_2 = 12 \, \text{m}\) - \(d_3 = 4 \, \text{m}\) - \(d_4 = 16 \, \text{m}\) - \(d_5 = 6 \, \text{m}\) **Problem Statement:** Determine the magnitude of the forces \(F_1\) and \(F_4\) if the resultant force \(F_R\) acts through the coordinates (12, 10) m on the x-y plane. **Answer Fields:** - \(F_1 = \_\_\_\) kN - \(F_4 = \_\_\_\) kN *Note: Round your final answers to three significant digits.*
Transcribed Image Text:**Diagram Description:** The diagram displays a horizontal plane with four forces (\(F_1\), \(F_2\), \(F_3\), \(F_4\)) acting vertically downward at different points on the plane, which is oriented along the x and y axes. The coordinates are labeled, and the distances between the points of force application are given. **Diagram Details:** - \(F_1\), \(F_2\), \(F_3\), and \(F_4\) are represented as downward-pointing arrows. - The plane is marked at various distances, \(d_1\) to \(d_5\), along the axes. - \(F_1\) is located at a distance \(d_1\) along the x-axis from the y-axis. - \(F_2\) is at \(d_2\) from \(F_1\) along the x-axis. - \(F_3\) is located \(d_3\) from \(F_2\) along the x-axis. - \(F_4\) is \(d_4\) from \(F_3\) and \(d_5\) from the y-axis. **Table of Values:** The table provides the values of the forces and distances as follows: - \(F_2 = 12 \, \text{kN}\) - \(F_3 = 6 \, \text{kN}\) - \(d_1 = 8 \, \text{m}\) - \(d_2 = 12 \, \text{m}\) - \(d_3 = 4 \, \text{m}\) - \(d_4 = 16 \, \text{m}\) - \(d_5 = 6 \, \text{m}\) **Problem Statement:** Determine the magnitude of the forces \(F_1\) and \(F_4\) if the resultant force \(F_R\) acts through the coordinates (12, 10) m on the x-y plane. **Answer Fields:** - \(F_1 = \_\_\_\) kN - \(F_4 = \_\_\_\) kN *Note: Round your final answers to three significant digits.*
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
Matrix algebra for structural analysis
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