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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 dead load acting on the beam CD. Steel girder (A = 32.7 in.²) AF I Steel floor beam (A = 18.3 in.2) I E a. 62.3 lb/ft b. 662.3 lb/ft c. 1347.3 lb/ft d. 600.0 lb/ft -25 ft B I D Steel column -4 in. concrete slab 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 dead load acting on the beam CD. Steel girder (A = 32.7 in.²) AF I Steel floor beam (A = 18.3 in.2) I E a. 62.3 lb/ft b. 662.3 lb/ft c. 1347.3 lb/ft d. 600.0 lb/ft -25 ft B I D Steel column -4 in. concrete slab 2 at 12 ft = 24 ft

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
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 dead load acting on the beam CD. 

**Analyzing the Dead Load on Beam CD in a Steel Girder-Supported Floor System** The floor system of an apartment building features a 4-inch-thick reinforced concrete slab supported by three steel floor beams. These beams are in turn supported by two steel girders. In the figure provided, key dimensions and details of the structural elements are illustrated. ### Structural Layout: - **Steel girder (A-B) (Cross-sectional area = 32.7 in²)** - **Steel floor beams (C-D and E-F) (Cross-sectional area = 18.3 in² each)** - **4-inch reinforced concrete slab** **Dimensions:** - The distance between the steel girders (A-B) is 25 feet. - The concrete slab n distance supported by two floor beams (C-D and E-F) totaling 24 feet (2 beams at 12 feet each). ### Diagram Explanation: The diagram displays the structural setup: 1. **Horizontal Girders (A-B and E-F):** - These girders consist of cross-sectional areas of 32.7 in². - Span between A and B is 25 feet. 2. **Steel Columns:** - Provide vertical support at both ends of each girder. 3. **Concrete Slab:** - Reinforced with a thickness of 4 inches. - Spans between floor beams spaced 12 feet apart. 4. **Floor Beams (C-D and E-F):** - Each floor beam has a cross-sectional area of 18.3 in². - Each beam spans 24 feet as it collectively supports the concrete slab with two beams each spanning 12 feet. ### Objective: Determine the dead load acting specifically on beam CD. ### Answer Choices: a. 62.3 lb/ft b. 662.3 lb/ft c. 1347.3 lb/ft d. 600.0 lb/ft To solve this, one typically needs to calculate the weight distribution of the concrete slab, integrate the support provided by the steel beams and girders, and determine the load specifically on the beam CD. This type of problem is integral in structural engineering to ensure the floor system can safely support the intended loads without failure.
Transcribed Image Text:**Analyzing the Dead Load on Beam CD in a Steel Girder-Supported Floor System** The floor system of an apartment building features a 4-inch-thick reinforced concrete slab supported by three steel floor beams. These beams are in turn supported by two steel girders. In the figure provided, key dimensions and details of the structural elements are illustrated. ### Structural Layout: - **Steel girder (A-B) (Cross-sectional area = 32.7 in²)** - **Steel floor beams (C-D and E-F) (Cross-sectional area = 18.3 in² each)** - **4-inch reinforced concrete slab** **Dimensions:** - The distance between the steel girders (A-B) is 25 feet. - The concrete slab n distance supported by two floor beams (C-D and E-F) totaling 24 feet (2 beams at 12 feet each). ### Diagram Explanation: The diagram displays the structural setup: 1. **Horizontal Girders (A-B and E-F):** - These girders consist of cross-sectional areas of 32.7 in². - Span between A and B is 25 feet. 2. **Steel Columns:** - Provide vertical support at both ends of each girder. 3. **Concrete Slab:** - Reinforced with a thickness of 4 inches. - Spans between floor beams spaced 12 feet apart. 4. **Floor Beams (C-D and E-F):** - Each floor beam has a cross-sectional area of 18.3 in². - Each beam spans 24 feet as it collectively supports the concrete slab with two beams each spanning 12 feet. ### Objective: Determine the dead load acting specifically on beam CD. ### Answer Choices: a. 62.3 lb/ft b. 662.3 lb/ft c. 1347.3 lb/ft d. 600.0 lb/ft To solve this, one typically needs to calculate the weight distribution of the concrete slab, integrate the support provided by the steel beams and girders, and determine the load specifically on the beam CD. This type of problem is integral in structural engineering to ensure the floor system can safely support the intended loads without failure.
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