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he floor system of a gymnasium consists of a 130-mm-thick concrete slab resting on four steel beams (A-9,100 mm²) that, in turn, are supported by two steel girders (A-25,60 m²), as shown below. Determine the point load acting on girder AD at point C. Steel floor beam A-9,100 mm²) 10 m B Steel girder (A-25,600 mm²) Steel column C 130 mm concrete slab

he floor system of a gymnasium consists of a 130-mm-thick concrete slab resting on four steel beams (A-9,100 mm²) that, in turn, are supported by two steel girders (A-25,60 m²), as shown below. Determine the point load acting on girder AD at point C. Steel floor beam A-9,100 mm²) 10 m B Steel girder (A-25,600 mm²) Steel column C 130 mm concrete slab

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 a gymnasium consists of a 130-mm-thick concrete slab resting on four steel beams (A=9,100 mm2) that, in turn, are supported by two steel girders (A=25,600 mm2), as shown below. Determine the point load acting on girder AD at point C.

**Gymnasium Floor System Analysis** The floor system of a gymnasium consists of a 130-mm-thick concrete slab resting on four steel beams, with a cross-sectional area \( A = 9,100 \, \text{mm}^2 \). These beams are supported by two steel girders with a cross-sectional area \( A = 25,600 \, \text{mm}^2 \), as illustrated in the diagram below. Your task is to determine the point load acting on girder AD at point C. **Diagram Explanation:** - **Steel Beams and Girders:** - The floor system includes steel floor beams (AB, BC, CD, and DE) each with a cross-sectional area of \( 9,100 \, \text{mm}^2 \). - Two steel girders (EF and GH) with a cross-sectional area of \( 25,600 \, \text{mm}^2 \) support these floor beams. - **Positioning:** - The beams and girders form a grid within the floor plan. - A steel column supports point D. - The span between points E and F, F and G, and G and H is uniformly 5m each. - **Concrete Slab:** - The entire system supports a concrete slab with a thickness of 130 mm. **Determination of Point Load at C:** Given these parameters, you need to calculate the point load acting specifically at point C on girder AD. **Possible Choices:** - a. 111.8 kN - b. 41.9 kN - c. 80.2 kN - d. 160.4 kN To solve the problem, step-by-step structural analysis techniques considering the material properties of steel and the load distribution patterns of the concrete slab on these beams and girders should be applied. **Educational Note:** Structural analysis of systems like this is vital to ensure stability and safety in building design, especially for structures expected to bear significant loads, such as gymnasium floors. The process involves understanding material properties, load distribution, and applying principles of statics and mechanics of materials. **Answer Key:** To verify your calculations, refer to detailed structural analysis methods or consult with a structural engineer for guidance. The correct answer will ensure that the floor system is designed to support the expected loads safely and efficiently.
Transcribed Image Text:**Gymnasium Floor System Analysis** The floor system of a gymnasium consists of a 130-mm-thick concrete slab resting on four steel beams, with a cross-sectional area \( A = 9,100 \, \text{mm}^2 \). These beams are supported by two steel girders with a cross-sectional area \( A = 25,600 \, \text{mm}^2 \), as illustrated in the diagram below. Your task is to determine the point load acting on girder AD at point C. **Diagram Explanation:** - **Steel Beams and Girders:** - The floor system includes steel floor beams (AB, BC, CD, and DE) each with a cross-sectional area of \( 9,100 \, \text{mm}^2 \). - Two steel girders (EF and GH) with a cross-sectional area of \( 25,600 \, \text{mm}^2 \) support these floor beams. - **Positioning:** - The beams and girders form a grid within the floor plan. - A steel column supports point D. - The span between points E and F, F and G, and G and H is uniformly 5m each. - **Concrete Slab:** - The entire system supports a concrete slab with a thickness of 130 mm. **Determination of Point Load at C:** Given these parameters, you need to calculate the point load acting specifically at point C on girder AD. **Possible Choices:** - a. 111.8 kN - b. 41.9 kN - c. 80.2 kN - d. 160.4 kN To solve the problem, step-by-step structural analysis techniques considering the material properties of steel and the load distribution patterns of the concrete slab on these beams and girders should be applied. **Educational Note:** Structural analysis of systems like this is vital to ensure stability and safety in building design, especially for structures expected to bear significant loads, such as gymnasium floors. The process involves understanding material properties, load distribution, and applying principles of statics and mechanics of materials. **Answer Key:** To verify your calculations, refer to detailed structural analysis methods or consult with a structural engineer for guidance. The correct answer will ensure that the floor system is designed to support the expected loads safely and efficiently.
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