For Problems 9.1 through 9.6, use the virtual work method to determine the deflection of each of the joints indicated. E = 29.000 ksi for all members unless otherwise indicated. The cross section of each member is given as in² unless noted otherwise. P9.1 Find Agx and Ay Bar areas: AB = 7; BC = DE = EC = 2; AD = BE = 4; and DB = 6. (Ans: Ary= 0.753 in. 1. ABx= 0.173 in.) 40 k A D k 20 k BY E 10 k C -20 ft → 20 ft- → 15 ft →→
For Problems 9.1 through 9.6, use the virtual work method to determine the deflection of each of the joints indicated. E = 29.000 ksi for all members unless otherwise indicated. The cross section of each member is given as in² unless noted otherwise. P9.1 Find Agx and Ay Bar areas: AB = 7; BC = DE = EC = 2; AD = BE = 4; and DB = 6. (Ans: Ary= 0.753 in. 1. ABx= 0.173 in.) 40 k A D k 20 k BY E 10 k C -20 ft → 20 ft- → 15 ft →→
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:### Problem Description
For **Problems 9.1 through 9.6**, use the virtual work method to determine the deflection of each of the joints indicated. **E = 29,000 ksi** for all members unless otherwise indicated. The cross-section of each member is given as **in²** unless noted otherwise.
#### P9.1
- **Objective:** Find \(\Delta_{BX}\) and \(\Delta_{EY}\).
- **Bar areas**:
- AB = 7
- BC = DE = EC = 2
- AD = BE = 4
- DB = 6
- **Forces and Distances:**
- A 20 k force is applied at joint B.
- A 40 k force is applied at joint C (15 ft above point).
- A 10 k force is applied at joint E.
- The distances from D to B and D to E are each 20 ft.
- **Answers:**
- \(\Delta_{EY} = 0.753 \, \text{in.}\)
- \(\Delta_{BX} = 0.173 \, \text{in.} \rightarrow\)
### Diagram Explanation
The diagram is a truss structure with five joints labeled A, B, C, D, and E.
- **Structure Layout:**
- Points A, B, and C are aligned horizontally with equal spacing (20 ft apart).
- Points D and E are directly below points A and B, respectively, each connected by diagonal members.
- DB and DE are vertical members each 15 ft long.
- **Member Connections:**
- AB and BE form the top and middle horizontal connections.
- AD, DB, and ED form the vertical and diagonal connections.
- BC, DE, and EC form the further connections from B and C.
This description serves to explain the layout and problem requirements for calculating joint deflections using the given parameters.
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