PROBLEM 1 For the truss shown in Figure below. Calculate the loads in the following members. i. AC AB (a) (b) ii. iii. BC iv. BE V. BD Given that the cross-sectional area of each member is 900 mm², compute the normal stresses in the following members. i. AC ii. AB iii. BC iv. BE V. BD AN C E 30 kN 3 m 4 panels at 4 m = 16 m G 70 kN L. H₂ H₂

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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### Problem 1

#### (a) For the truss shown in the figure below, calculate the loads in the following members:

i. AC  
ii. AB  
iii. BC  
iv. BE  
v. BD  

#### (b) Given that the cross-sectional area of each member is 900 mm², compute the normal stresses in the following members:

i. AC  
ii. AB  
iii. BC  
iv. BE  
v. BD  

---

### Diagram Description

The diagram is a truss structure with different nodes and members labeled. It is annotated with dimensions and force vectors:

- **Nodes**: A, B, C, D, E, F, G, and H.
- **Supports**: 
  - Pin support at A, indicating a reaction force \( A_y \).
  - Roller support at H, indicating a reaction force \( H_y \).

- **Dimensions**:
  - The left vertical height from node A to top node B is 3 meters.
  - The base is divided into four panels, each with a length of 4 meters, totaling 16 meters in horizontal span.

- **Forces**:
  - A downward force of 30 kN is applied at node C.
  - A downward force of 70 kN is applied at node G.
  - Reaction forces are shown at the supports: \( A_y \) at support A and \( H_y \) at support H.

- **Coordinate system**: A reference coordinate system is present, indicating the x and y directions for analysis.
Transcribed Image Text:### Problem 1 #### (a) For the truss shown in the figure below, calculate the loads in the following members: i. AC ii. AB iii. BC iv. BE v. BD #### (b) Given that the cross-sectional area of each member is 900 mm², compute the normal stresses in the following members: i. AC ii. AB iii. BC iv. BE v. BD --- ### Diagram Description The diagram is a truss structure with different nodes and members labeled. It is annotated with dimensions and force vectors: - **Nodes**: A, B, C, D, E, F, G, and H. - **Supports**: - Pin support at A, indicating a reaction force \( A_y \). - Roller support at H, indicating a reaction force \( H_y \). - **Dimensions**: - The left vertical height from node A to top node B is 3 meters. - The base is divided into four panels, each with a length of 4 meters, totaling 16 meters in horizontal span. - **Forces**: - A downward force of 30 kN is applied at node C. - A downward force of 70 kN is applied at node G. - Reaction forces are shown at the supports: \( A_y \) at support A and \( H_y \) at support H. - **Coordinate system**: A reference coordinate system is present, indicating the x and y directions for analysis.
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