Given the following figure and single force (FEH-200 lb): (a) Calculate the vector form for the moment about point D - Mp! (b) Calculate the scalar form for the moment about axis CD – MCD 10 in. 30 in lA 7.5 in. E 7.5 in. 10 in. x 10 in. H

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Educational Content Transcription:**

Given the following figure and single force (\(F_{EH} = 200 \, \text{lb}\)):

(a) Calculate the vector form for the moment about point D – \( \mathbf{M}_D \).  
(b) Calculate the scalar form for the moment about axis CD – \( M_{CD} \).

**Diagram Explanation:**

- The diagram depicts a three-dimensional frame structure.
- Points A, B, C, D, E, G, O, and P are labeled on the structure, representing various connection or joint points on the beams.
- A force vector \( \mathbf{F}_{EH} \) of magnitude 200 lb is applied at point E in the direction towards point H.
- The dimensional measurements are given in inches:
  - The distance from D to C is 10 inches vertically and from C to A horizontally is 30 inches.
  - From C vertically down to E is 7.5 inches, with a similar distance from E to G vertically.
  - From O to G horizontally is 15 inches.
- Axis CD is highlighted as a line running between points C and D.

The problem requires calculating:
1. The vector moment about point D (\( \mathbf{M}_D \)).
2. The scalar moment about the axis CD (\( M_{CD} \)).
Transcribed Image Text:**Educational Content Transcription:** Given the following figure and single force (\(F_{EH} = 200 \, \text{lb}\)): (a) Calculate the vector form for the moment about point D – \( \mathbf{M}_D \). (b) Calculate the scalar form for the moment about axis CD – \( M_{CD} \). **Diagram Explanation:** - The diagram depicts a three-dimensional frame structure. - Points A, B, C, D, E, G, O, and P are labeled on the structure, representing various connection or joint points on the beams. - A force vector \( \mathbf{F}_{EH} \) of magnitude 200 lb is applied at point E in the direction towards point H. - The dimensional measurements are given in inches: - The distance from D to C is 10 inches vertically and from C to A horizontally is 30 inches. - From C vertically down to E is 7.5 inches, with a similar distance from E to G vertically. - From O to G horizontally is 15 inches. - Axis CD is highlighted as a line running between points C and D. The problem requires calculating: 1. The vector moment about point D (\( \mathbf{M}_D \)). 2. The scalar moment about the axis CD (\( M_{CD} \)).
Expert Solution
Step 1

Given:-

A force is acting along the line EH 

The magnitude of the force = FEH = 200 lb

To determine:-

a) The vector form of the moment about point D

b) The scalar form of the moment about the axis CD

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