Situation 1: A simply supported beam of length 2.4 m is loaded with two point loads as shown below. The rectangular beam is made from wood with E = 11 GPa and I = 0.00001786 m². 1.8 kN 3.6 kN D 0.8 m 0.8 m 0.5m 1. Determine the location of the maximum deflection from the left support. 2. Determine the maximum deflection. 3. Determine the slope at the midspan.
Situation 1: A simply supported beam of length 2.4 m is loaded with two point loads as shown below. The rectangular beam is made from wood with E = 11 GPa and I = 0.00001786 m². 1.8 kN 3.6 kN D 0.8 m 0.8 m 0.5m 1. Determine the location of the maximum deflection from the left support. 2. Determine the maximum deflection. 3. Determine the slope at the midspan.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Tasks:**
1. Determine the location of the maximum deflection from the left support.
2. Determine the maximum deflection.
3. Determine the slope at the midspan.
### Situation 2
**Considering the beam below, \( EI \) is constant in all beams.**
**Tasks:**
4. Determine the deflection at the midspan of beam CD.
5. Determine the deflection along beam AB directly below the support at C.
6. Determine the slope at the midspan of beam AB.
### Situation 3
**A simply supported beam supports the applied loads and moments as shown. If \( EI = 350,000 \, \text{kNm}^2 \):**
**Tasks:**
7. Determine the distance of the maximum deflection along span BE from support B.
8. Determine the maximum deflection along span BE.
### Situation 4
**Considering the beam provided below, \( E = 200 \, \text{GPa} \) and \( I = 0.0015 \, \text{m}^4 \):**
**Tasks:**
9. If the triangular load at span AB is removed, determine the difference in elevation between the highest and lowest point of the beam.
10. If the maximum deflection is limited to 20 mm only and \( P = 500 \, \text{kN} \), determine the value of \( L \).
11. If the maximum deflection is limited to 20 mm only and \( L = 10 \) meters, determine the value of \( P \).
### Situation 5
**A beam shown below supports a triangular distributed load together with a load and](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6594d77a-1b30-41e3-9d36-a3a0644ca73e%2F2b43e62a-c3e2-4613-985b-e6fcaedf9dcc%2Fykqr5yf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Structural Analysis Problems: Beam Deflection and Slope
### Situation 1
**A simply supported beam of length 2.4 m is loaded with two point loads as shown below. The rectangular beam is made from wood with \( E = 11 \, \text{GPa} \) and \( I = 0.00001786 \, \text{m}^4 \).**
**Tasks:**
1. Determine the location of the maximum deflection from the left support.
2. Determine the maximum deflection.
3. Determine the slope at the midspan.
### Situation 2
**Considering the beam below, \( EI \) is constant in all beams.**
**Tasks:**
4. Determine the deflection at the midspan of beam CD.
5. Determine the deflection along beam AB directly below the support at C.
6. Determine the slope at the midspan of beam AB.
### Situation 3
**A simply supported beam supports the applied loads and moments as shown. If \( EI = 350,000 \, \text{kNm}^2 \):**
**Tasks:**
7. Determine the distance of the maximum deflection along span BE from support B.
8. Determine the maximum deflection along span BE.
### Situation 4
**Considering the beam provided below, \( E = 200 \, \text{GPa} \) and \( I = 0.0015 \, \text{m}^4 \):**
**Tasks:**
9. If the triangular load at span AB is removed, determine the difference in elevation between the highest and lowest point of the beam.
10. If the maximum deflection is limited to 20 mm only and \( P = 500 \, \text{kN} \), determine the value of \( L \).
11. If the maximum deflection is limited to 20 mm only and \( L = 10 \) meters, determine the value of \( P \).
### Situation 5
**A beam shown below supports a triangular distributed load together with a load and
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