Rigid bar ABCD is supported by two bars. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in bar (2) is measured as -3800 μm/m. Use the dimensions L₁ = 1900 mm, L₂ = 1425.00 mm, a = 190 mm, b = 380 mm, and c=143 mm. Determine: (a) the normal strain in bar (1). (b) the normal strain in bar (1) if there is a A = 1 mm gap in the connection at pin C before the load is applied. (c) the normal strain in bar (1) if there is a A = 1 mm gap in the connection at pin B before the load is applied. Li Answer: (a) &₁ = (b) 1 = (c) &1 = A i i i 1 1 1 a B (1) b Rigid bar L2 με με με C D
Rigid bar ABCD is supported by two bars. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in bar (2) is measured as -3800 μm/m. Use the dimensions L₁ = 1900 mm, L₂ = 1425.00 mm, a = 190 mm, b = 380 mm, and c=143 mm. Determine: (a) the normal strain in bar (1). (b) the normal strain in bar (1) if there is a A = 1 mm gap in the connection at pin C before the load is applied. (c) the normal strain in bar (1) if there is a A = 1 mm gap in the connection at pin B before the load is applied. Li Answer: (a) &₁ = (b) 1 = (c) &1 = A i i i 1 1 1 a B (1) b Rigid bar L2 με με με C D
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![**Problem Statement:**
Rigid bar ABCD is supported by two bars. There is no strain in the vertical bars before the load \( P \) is applied. After load \( P \) is applied, the normal strain in bar (2) is measured as -3800 \(\mu\varepsilon \) (microstrain). Use the dimensions \( L_1 = 1900 \) mm, \( L_2 = 1425.00 \) mm, \( a = 190 \) mm, \( b = 380 \) mm, and \( c = 143 \) mm. Determine:
(a) The normal strain in bar (1).
(b) The normal strain in bar (1) if there is a \(\Delta = 1\) mm gap in the connection at pin \( C \) before the load is applied.
(c) The normal strain in bar (1) if there is a \(\Delta = 1\) mm gap in the connection at pin \( B \) before the load is applied.
**Diagram Explanation:**
1. **Rigid Bar ABCD Configuration:**
- A horizontal rigid bar labeled "Rigidal bar".
- Pin locations at \( A \), \( B \), \( C \), and \( D \).
- Horizontal distances are labeled: \( a \) (distance between \( A \) and \( B \)), \( b \) (distance between \( B \) and \( C \)), and \( c \) (distance between \( C \) and \( D \)).
- Vertical bars connecting at \( B \) (bar 1) and \( C \) (bar 2).
2. **Dimensions & Forces:**
- The height of the vertical bar at \( B \) is \( L_1 \).
- The height of the vertical bar at \( C \) is \( L_2 \).
- A downward force \( P \) is applied at \( D \).
**Formulas & Calculations:**
**(a) Calculation of Normal Strain in Bar (1):**
Given parameters:
\[ \varepsilon_2 = -3800 \, \mu\varepsilon = -0.0038 \]
\[ L_1 = 1900 \text{ mm} \]
\[ L_2 = 1425.00 \text{ mm} \]
\[ a = 190 \text{](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0830934-b0ff-4672-88dc-560265a97e08%2F20895e3b-a8ae-48d8-9d86-24f38c404f5a%2Fw5bxjwh_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Rigid bar ABCD is supported by two bars. There is no strain in the vertical bars before the load \( P \) is applied. After load \( P \) is applied, the normal strain in bar (2) is measured as -3800 \(\mu\varepsilon \) (microstrain). Use the dimensions \( L_1 = 1900 \) mm, \( L_2 = 1425.00 \) mm, \( a = 190 \) mm, \( b = 380 \) mm, and \( c = 143 \) mm. Determine:
(a) The normal strain in bar (1).
(b) The normal strain in bar (1) if there is a \(\Delta = 1\) mm gap in the connection at pin \( C \) before the load is applied.
(c) The normal strain in bar (1) if there is a \(\Delta = 1\) mm gap in the connection at pin \( B \) before the load is applied.
**Diagram Explanation:**
1. **Rigid Bar ABCD Configuration:**
- A horizontal rigid bar labeled "Rigidal bar".
- Pin locations at \( A \), \( B \), \( C \), and \( D \).
- Horizontal distances are labeled: \( a \) (distance between \( A \) and \( B \)), \( b \) (distance between \( B \) and \( C \)), and \( c \) (distance between \( C \) and \( D \)).
- Vertical bars connecting at \( B \) (bar 1) and \( C \) (bar 2).
2. **Dimensions & Forces:**
- The height of the vertical bar at \( B \) is \( L_1 \).
- The height of the vertical bar at \( C \) is \( L_2 \).
- A downward force \( P \) is applied at \( D \).
**Formulas & Calculations:**
**(a) Calculation of Normal Strain in Bar (1):**
Given parameters:
\[ \varepsilon_2 = -3800 \, \mu\varepsilon = -0.0038 \]
\[ L_1 = 1900 \text{ mm} \]
\[ L_2 = 1425.00 \text{ mm} \]
\[ a = 190 \text{
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