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Using Area-Moment method: Solve for the deflection and slope at the free end of the beam if El is constant

Using Area-Moment method: Solve for the deflection and slope at the free end of the beam if El is constant

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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Using Area-Moment method: Solve for the deflection and slope at the free end of the beam if El is constant.
The diagram presented shows a triangular distribution load acting on a beam that is cantilevered to a wall on the left side. The specific details in the diagram are described below: 1. **Load Distribution**: The triangular load has a maximum intensity of 30 kN/m at its peak, which is positioned at the middle of the span. 2. **Support**: The beam is cantilevered at the left end, represented by the hatched vertical lines indicating a fixed support. 3. **Beam Dimensions**: - The total length of the beam is 10 meters. - The load distribution is symmetrical, with the peak of the triangular load situated 5 meters from each end of the beam. In summary, this setup represents a cantilever beam with a triangularly distributed load having a maximum intensity of 30 kN/m at the mid-span (5 meters from either end). This type of loading is commonly analyzed in structural engineering to determine the resulting shear forces, bending moments, and deflections within the beam.
Transcribed Image Text:The diagram presented shows a triangular distribution load acting on a beam that is cantilevered to a wall on the left side. The specific details in the diagram are described below: 1. **Load Distribution**: The triangular load has a maximum intensity of 30 kN/m at its peak, which is positioned at the middle of the span. 2. **Support**: The beam is cantilevered at the left end, represented by the hatched vertical lines indicating a fixed support. 3. **Beam Dimensions**: - The total length of the beam is 10 meters. - The load distribution is symmetrical, with the peak of the triangular load situated 5 meters from each end of the beam. In summary, this setup represents a cantilever beam with a triangularly distributed load having a maximum intensity of 30 kN/m at the mid-span (5 meters from either end). This type of loading is commonly analyzed in structural engineering to determine the resulting shear forces, bending moments, and deflections within the beam.
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