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A beam with a rectangular section of 120 mm × 60 mm, designed to be placed vertically is placed horizontally by mistake. If the maximum stress is to be limited, the reduction in load carrying capacity would be?
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A beam with a rectangular section of 120 mm × 60 mm, designed to be pl...
Beam Orientation and Stress Analysis
When a beam with a rectangular section of 120 mm × 60 mm is placed vertically, it is designed to bear loads primarily through its height. However, placing it horizontally alters its load-carrying capacity significantly.
Effects of Horizontal Placement
- Bending Stress:
The maximum bending stress in a beam is influenced by its moment of inertia. In a vertical position, the height (h = 120 mm) provides greater moment of inertia, thus allowing it to carry more load.
- Reduced Moment of Inertia:
When placed horizontally, the moment of inertia (I) is calculated based on the width (b = 60 mm), leading to a significant reduction in its ability to resist bending.
Load Carrying Capacity Reduction
- Calculation of Load Capacity:
The load-carrying capacity is proportional to the moment of inertia. The moment of inertia for a rectangle is given by I = (b * h^3) / 12. In the horizontal position, I becomes substantially lower compared to the vertical position.
- Percentage Reduction:
The reduction in load carrying capacity can be approximated as the ratio of the moments of inertia. The effective capacity could be reduced by 60-70% depending on the application and the specific loading conditions.
Conclusion
In summary, placing a beam designed for vertical loading in a horizontal orientation drastically reduces its load-carrying capacity due to a lower moment of inertia, resulting in increased bending stress and potential failure under load. It is crucial to adhere to the intended orientation to ensure structural integrity.
When a beam with a rectangular section of 120 mm × 60 mm is placed vertically, it is designed to bear loads primarily through its height. However, placing it horizontally alters its load-carrying capacity significantly.
Effects of Horizontal Placement
- Bending Stress:
The maximum bending stress in a beam is influenced by its moment of inertia. In a vertical position, the height (h = 120 mm) provides greater moment of inertia, thus allowing it to carry more load.
- Reduced Moment of Inertia:
When placed horizontally, the moment of inertia (I) is calculated based on the width (b = 60 mm), leading to a significant reduction in its ability to resist bending.
Load Carrying Capacity Reduction
- Calculation of Load Capacity:
The load-carrying capacity is proportional to the moment of inertia. The moment of inertia for a rectangle is given by I = (b * h^3) / 12. In the horizontal position, I becomes substantially lower compared to the vertical position.
- Percentage Reduction:
The reduction in load carrying capacity can be approximated as the ratio of the moments of inertia. The effective capacity could be reduced by 60-70% depending on the application and the specific loading conditions.
Conclusion
In summary, placing a beam designed for vertical loading in a horizontal orientation drastically reduces its load-carrying capacity due to a lower moment of inertia, resulting in increased bending stress and potential failure under load. It is crucial to adhere to the intended orientation to ensure structural integrity.
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A beam with a rectangular section of 120 mm × 60 mm, designed to be placed vertically is placed horizontally by mistake. If the maximum stress is to be limited, the reduction in load carrying capacity would be?
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A beam with a rectangular section of 120 mm × 60 mm, designed to be placed vertically is placed horizontally by mistake. If the maximum stress is to be limited, the reduction in load carrying capacity would be? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A beam with a rectangular section of 120 mm × 60 mm, designed to be placed vertically is placed horizontally by mistake. If the maximum stress is to be limited, the reduction in load carrying capacity would be? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A beam with a rectangular section of 120 mm × 60 mm, designed to be placed vertically is placed horizontally by mistake. If the maximum stress is to be limited, the reduction in load carrying capacity would be?.
A beam with a rectangular section of 120 mm × 60 mm, designed to be placed vertically is placed horizontally by mistake. If the maximum stress is to be limited, the reduction in load carrying capacity would be? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A beam with a rectangular section of 120 mm × 60 mm, designed to be placed vertically is placed horizontally by mistake. If the maximum stress is to be limited, the reduction in load carrying capacity would be? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A beam with a rectangular section of 120 mm × 60 mm, designed to be placed vertically is placed horizontally by mistake. If the maximum stress is to be limited, the reduction in load carrying capacity would be?.
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