A weight W = 300# is suspended by a cable system as shown in the figure. a. Calculate the moment of force W with 6' respect to point D (that means with respect to an axis normal to the paper that goes through D). b. Determine all cable forces and the force in post BE. W=300 Hint: Draw two different FBD’s for points B and C, and solve separately. Bonus (1 point) What is the magnitude of the resultant of tensions in cables BC and CD? Can you figure this out without any calculation?
A weight W = 300# is suspended by a cable system as shown in the figure. a. Calculate the moment of force W with 6' respect to point D (that means with respect to an axis normal to the paper that goes through D). b. Determine all cable forces and the force in post BE. W=300 Hint: Draw two different FBD’s for points B and C, and solve separately. Bonus (1 point) What is the magnitude of the resultant of tensions in cables BC and CD? Can you figure this out without any calculation?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Problem Statement:**
A weight \( W = 300\# \) is suspended by a cable system as shown in the figure.
**a.** Calculate the moment of force \( W \) with respect to point \( D \) (that means with respect to an axis normal to the paper that goes through \( D \)).
**b.** Determine all cable forces and the force in post \( BE \).
**Hint:** Draw two different Free Body Diagrams (FBD's) for points \( B \) and \( C \), and solve separately.
**Bonus (1 point):** What is the magnitude of the resultant of tensions in cables \( BC \) and \( CD \)? Can you figure this out without any calculation?
**Diagram Explanation:**
The diagram includes a structural cable system with the following details:
- Points \( A \), \( B \), \( C \), \( D \), and \( E \).
- A triangle is formed by cables running from \( B \) to \( E \).
- The weight of \( 300\# \) is suspended from point \( E \).
- Horizontal and vertical distances are marked along the base and height:
- Horizontal distances: \( 8' \) between \( A \) to \( E \), \( E \) to \( C \), and \( C \) to \( D \).
- Vertical distances: \( 6' \) from \( B \) to the line \( CE \), and \( 9' \) from \( D \) to the base.
The figure depicts the geometric layout of the cable system, crucial for analyzing force vectors and calculating moments and tensions.
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