The floor system of an apartment building consists of a 4-inch-thick reinforced concrete slab resting on three steel floor beams, which are in turn supported by two steel girders, as shown below. The areas of cross section of the floor beams and the girders are 18.3 in.² and 32.7 in.², respectively. Determine the live load acting on beam CD. Steel girder (A= 32.7 in.) AF I Steel floor beam (A = 18.3 in.²) Oa. 480 lb/ft Ob. 600 lb/ft O c. 1080 lb/ft O d. 1125 lb/ft C -25 ft- B Steel column 4 in. concrete slab D 2 at 12 ft = 24 ft
The floor system of an apartment building consists of a 4-inch-thick reinforced concrete slab resting on three steel floor beams, which are in turn supported by two steel girders, as shown below. The areas of cross section of the floor beams and the girders are 18.3 in.² and 32.7 in.², respectively. Determine the live load acting on beam CD. Steel girder (A= 32.7 in.) AF I Steel floor beam (A = 18.3 in.²) Oa. 480 lb/ft Ob. 600 lb/ft O c. 1080 lb/ft O d. 1125 lb/ft C -25 ft- B Steel column 4 in. concrete slab D 2 at 12 ft = 24 ft
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The floor system of an apartment building consists of a 4-inch-thick reinforced concrete slab resting on three steel floor beams, which are in turn supported by two steel girders, as shown below. The areas of cross section of the floor beams and the girders are 18.3 in.2 and 32.7 in.2, respectively. Determine the live load acting on beam CD.
Transcribed Image Text:### Structural Engineering Problem: Live Load Calculation
#### Problem Statement:
The floor system of an apartment building consists of a 4-inch-thick reinforced concrete slab resting on three steel floor beams, which are in turn supported by two steel girders, as shown below. The areas of cross section of the floor beams and the girders are 18.3 in.² and 32.7 in.², respectively. Determine the live load acting on beam CD.
#### Diagram Explanation:
The provided diagram illustrates a segment of the structural floor system with the following details:
1. **Steel Girder (A = 32.7 in.²):**
- Labeled as AB with a span of 25 ft between the points.
- Supported by steel columns at both ends.
2. **Steel Floor Beam (A = 18.3 in.²):**
- Labeled as EF with a span of 24 ft between the points.
- Positioned perpendicular to the steel girders.
3. **4-inch Concrete Slab:**
- Resting over the steel floor beams providing the floor structure.
- Dimensions defined between the girders and beams.
4. **Points of Interest:**
- Beam CD, designated where the load needs to be determined.
- Additional steel columns providing structural support.
#### Options for Live Load Acting on Beam CD:
- a. 480 lb/ft
- b. 600 lb/ft
- c. 1080 lb/ft
- d. 1125 lb/ft
The correct answer needs to be selected based on structural analysis.
This problem involves using principles of structural engineering to determine the distribution of loads within a given floor system. Specifically, it includes calculating the live load transferred to a designated beam based on the provided dimensions and material specifications.
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