0) SPL (3) SDLTLL (2) SLL (4) S after 4 years assuming that 25% of the live load are continuously applied long-term
0) SPL (3) SDLTLL (2) SLL (4) S after 4 years assuming that 25% of the live load are continuously applied long-term
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![**Transcription for Educational Website**
**Figure Description:**
1. **Beam Diagram:**
- A horizontal beam is shown with equidistant vertical lines along its length, indicating supports or points of interest.
- Beam length: 16 feet.
2. **Cross-Section Diagram:**
- Cross-section width: 12 inches.
- Cross-section height: 22 inches.
- Reinforcement details: 4 rebars labeled as #8.
- Cover from outer edge: 1.5 inches.
**Calculations and Parameters:**
- **Dead Load (W<sub>DL</sub>):** 2.0 kips per linear foot (klf), including self-weight.
- **Construction Load (W<sub>CL</sub>):** 3.0 klf.
- **Concrete Specifications:**
- Normal Weight Concrete (NWC).
- Specified compressive strength (f'c): 4000 psi.
- Yield strength of reinforcing steel (f<sub>y</sub>): 60 ksi.
- Number of rebars: n = 8.
**Analysis Types:**
1. \( \delta_{DL} \) - Deflection due to Dead Load.
2. \( \delta_{LL} \) - Deflection due to Live Load.
3. \( \delta_{DL+LL} \) - Combined deflection from Dead Load and Live Load.
4. \( \delta_{\text{long-term}} \) - Long-term deflection after 4 years, assuming a continuous application of 25% of the live load for 48 months.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd48fa528-f1f3-4cfe-8331-4241747c0c1a%2Fef4d7c41-4dea-4d1d-9595-abe115323d23%2Fiurv1q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
**Figure Description:**
1. **Beam Diagram:**
- A horizontal beam is shown with equidistant vertical lines along its length, indicating supports or points of interest.
- Beam length: 16 feet.
2. **Cross-Section Diagram:**
- Cross-section width: 12 inches.
- Cross-section height: 22 inches.
- Reinforcement details: 4 rebars labeled as #8.
- Cover from outer edge: 1.5 inches.
**Calculations and Parameters:**
- **Dead Load (W<sub>DL</sub>):** 2.0 kips per linear foot (klf), including self-weight.
- **Construction Load (W<sub>CL</sub>):** 3.0 klf.
- **Concrete Specifications:**
- Normal Weight Concrete (NWC).
- Specified compressive strength (f'c): 4000 psi.
- Yield strength of reinforcing steel (f<sub>y</sub>): 60 ksi.
- Number of rebars: n = 8.
**Analysis Types:**
1. \( \delta_{DL} \) - Deflection due to Dead Load.
2. \( \delta_{LL} \) - Deflection due to Live Load.
3. \( \delta_{DL+LL} \) - Combined deflection from Dead Load and Live Load.
4. \( \delta_{\text{long-term}} \) - Long-term deflection after 4 years, assuming a continuous application of 25% of the live load for 48 months.
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Step 1: Introduce the problem statement
VIEWStep 2: Evaluate basic cross-sectional properties
VIEWStep 3: Locate neutral axis
VIEWStep 4: Compute cracked moment of Inertia
VIEWStep 5: Compute effective moment of Inertia
VIEWStep 6: Determine instantaneous deflection
VIEWStep 7: Compute sustained load deflection
VIEWStep 8: Compute long term deflection
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