8. Design rectangular sections for the beams, loads, and p values shown. Beam weights are not included in the loads shown. Show sketches of cross sections, including bar sizes, arrangement, and spacing. Assume concrete weighs 150 lb/ft3, fy = 60,000 psi, and f c = 4000 psi, unless given otherwise. a) 12 ft P₁ = 30 k 24 ft Use p= WD = 3 k/ft 12 ft 0.18 f'e fy PL = 36 k 10 ft-> 30 ft Use P= 20 ft == Pb WD = 2 k/ft
8. Design rectangular sections for the beams, loads, and p values shown. Beam weights are not included in the loads shown. Show sketches of cross sections, including bar sizes, arrangement, and spacing. Assume concrete weighs 150 lb/ft3, fy = 60,000 psi, and f c = 4000 psi, unless given otherwise. a) 12 ft P₁ = 30 k 24 ft Use p= WD = 3 k/ft 12 ft 0.18 f'e fy PL = 36 k 10 ft-> 30 ft Use P= 20 ft == Pb WD = 2 k/ft
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![### Problem Statement:
8. **Design rectangular sections for the beams, loads, and ρ values shown. Beam weights are not included in the loads shown. Show sketches of cross sections, including bar sizes, arrangement, and spacing. Assume concrete weighs 150 lb/ft³, f_y = 60,000 psi, and f_c = 4000 psi, unless given otherwise.**
#### Diagram (a):
- **Load Information:**
- Point Load (P_L) = 30 k
- Uniformly Distributed Load (w_D) = 3 k/ft
- **Beam Lengths:**
- Segment Length = 12 ft
- Total Span Length = 24 ft
- **Reinforcement Ratio Formula:**
- Use ρ = \(\dfrac{0.18 f'_{c}}{f_{y}}\)
Diagram (a) shows a simply supported beam with a point load P_L in the middle of the span (total span 24 ft, divided equally into two 12 ft segments) and a uniformly distributed load (w_D). The cross-sectional sketch should include the arrangement of bars according to the reinforcement ratio provided.
#### Diagram (b):
- **Load Information:**
- Point Load (P_L) = 36 k
- Uniformly Distributed Load (w_D) = 2 k/ft
- **Beam Lengths:**
- Section Length = 10 ft
- Section Length = 20 ft
- Total Span Length = 30 ft
- **Reinforcement Ratio Formula:**
- Use ρ = \(\dfrac{1}{2} ρ_b\)
Diagram (b) shows a simply supported beam with a point load P_L placed 10 ft from the left support (total span 30 ft, segmented into 10 ft and 20 ft sections) and a uniformly distributed load (w_D). The cross-sectional sketch should incorporate the arrangement of bars following the given reinforcement ratio.
### Key Parameters and Assumptions:
- **Material Weight:**
- Concrete Weight = 150 lb/ft³
- **Material Strengths:**
- Steel Yield Strength (f_y) = 60,000 psi
- Concrete Compressive Strength (f_c) = 4000 psi
For each part, ensure detailed sketches of cross-sections include the size and spacing of reinforcement bars,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb7f1ce8-2552-49b5-ba1d-534a58de11ae%2Fa533b70d-97a3-4537-9285-ac5f2a47d3af%2F8vrpc5n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
8. **Design rectangular sections for the beams, loads, and ρ values shown. Beam weights are not included in the loads shown. Show sketches of cross sections, including bar sizes, arrangement, and spacing. Assume concrete weighs 150 lb/ft³, f_y = 60,000 psi, and f_c = 4000 psi, unless given otherwise.**
#### Diagram (a):
- **Load Information:**
- Point Load (P_L) = 30 k
- Uniformly Distributed Load (w_D) = 3 k/ft
- **Beam Lengths:**
- Segment Length = 12 ft
- Total Span Length = 24 ft
- **Reinforcement Ratio Formula:**
- Use ρ = \(\dfrac{0.18 f'_{c}}{f_{y}}\)
Diagram (a) shows a simply supported beam with a point load P_L in the middle of the span (total span 24 ft, divided equally into two 12 ft segments) and a uniformly distributed load (w_D). The cross-sectional sketch should include the arrangement of bars according to the reinforcement ratio provided.
#### Diagram (b):
- **Load Information:**
- Point Load (P_L) = 36 k
- Uniformly Distributed Load (w_D) = 2 k/ft
- **Beam Lengths:**
- Section Length = 10 ft
- Section Length = 20 ft
- Total Span Length = 30 ft
- **Reinforcement Ratio Formula:**
- Use ρ = \(\dfrac{1}{2} ρ_b\)
Diagram (b) shows a simply supported beam with a point load P_L placed 10 ft from the left support (total span 30 ft, segmented into 10 ft and 20 ft sections) and a uniformly distributed load (w_D). The cross-sectional sketch should incorporate the arrangement of bars following the given reinforcement ratio.
### Key Parameters and Assumptions:
- **Material Weight:**
- Concrete Weight = 150 lb/ft³
- **Material Strengths:**
- Steel Yield Strength (f_y) = 60,000 psi
- Concrete Compressive Strength (f_c) = 4000 psi
For each part, ensure detailed sketches of cross-sections include the size and spacing of reinforcement bars,
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