Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
(1) SOL (2) SLL Calculate the Long-term deflection assuming that 25% of the live load is Continuously applied for 3 years. 8-#8. (3) (4) DL+LL

(1) SOL (2) SLL Calculate the Long-term deflection assuming that 25% of the live load is Continuously applied for 3 years. 8-#8. (3) (4) DL+LL

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
### Structural Engineering Calculation for Long-term Deflection #### Diagram and Load Details - **Diagram**: A schematic shows a beam fixed at one end with a point load (P<sub>LL</sub> = 20k) at the free end. The span is 15 feet. - **Load Information**: - w<sub>DL</sub> = 2.0 KLF (including self-weight) - f’<sub>c</sub> = 4000 psi, Normal Weight Concrete (NWC) - Grade 60 steel #### Steps for Calculation 1. **Identification of Loads**: - S<sub>DL</sub> for dead load - S<sub>LL</sub> for live load - S<sub>DL+LL</sub> for combined dead and live load 2. **Long-term Deflection Calculation**: - Assume 25% of the live load is continuously applied for 3 years. 3. **Material Properties**: - E<sub>C</sub> = 57000√(f’<sub>c</sub>) - E<sub>C</sub> = 3600 ksi - λ = 1, Normal Weight Concrete (NWC) - Cover = 1.5 inches - Modular ratio, n = E<sub>s</sub>/E<sub>C</sub> = 8 4. **Section Properties and Reinforcement**: - Effective depth, d = 36 - 1.5 - 0.5 - 8/8 - 1/2 = 32.5 inches - Moment of Inertia, I<sub>g</sub> = 1/12 × 16 × 36³ = 62208 in<sup>4</sup> 5. **Flexural Strength**: - f<sub>r</sub> = 7.5 λ √(f’<sub>c</sub>) = 474.3 psi - λ = 1.0 #### Reinforcement Diagram - A cross-section sketch represents reinforcement: - 8 bars of #8 steel on the top - #4 bar at the bottom - Overall dimensions: 36" height, 16" width This calculation provides insights into beam deflection and strength, considering
Transcribed Image Text:### Structural Engineering Calculation for Long-term Deflection #### Diagram and Load Details - **Diagram**: A schematic shows a beam fixed at one end with a point load (P<sub>LL</sub> = 20k) at the free end. The span is 15 feet. - **Load Information**: - w<sub>DL</sub> = 2.0 KLF (including self-weight) - f’<sub>c</sub> = 4000 psi, Normal Weight Concrete (NWC) - Grade 60 steel #### Steps for Calculation 1. **Identification of Loads**: - S<sub>DL</sub> for dead load - S<sub>LL</sub> for live load - S<sub>DL+LL</sub> for combined dead and live load 2. **Long-term Deflection Calculation**: - Assume 25% of the live load is continuously applied for 3 years. 3. **Material Properties**: - E<sub>C</sub> = 57000√(f’<sub>c</sub>) - E<sub>C</sub> = 3600 ksi - λ = 1, Normal Weight Concrete (NWC) - Cover = 1.5 inches - Modular ratio, n = E<sub>s</sub>/E<sub>C</sub> = 8 4. **Section Properties and Reinforcement**: - Effective depth, d = 36 - 1.5 - 0.5 - 8/8 - 1/2 = 32.5 inches - Moment of Inertia, I<sub>g</sub> = 1/12 × 16 × 36³ = 62208 in<sup>4</sup> 5. **Flexural Strength**: - f<sub>r</sub> = 7.5 λ √(f’<sub>c</sub>) = 474.3 psi - λ = 1.0 #### Reinforcement Diagram - A cross-section sketch represents reinforcement: - 8 bars of #8 steel on the top - #4 bar at the bottom - Overall dimensions: 36" height, 16" width This calculation provides insights into beam deflection and strength, considering
Expert Solution
steps

Step by step

Solved in 9 steps with 23 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Pressurized pipe flow
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS