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Eccentricity For Rectangular Section To Maintain Stress As Wholly Compressive Formula:
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The Eccentricity For Rectangular Section To Maintain Stress As Wholly Compressive is the maximum allowable eccentricity of load application that ensures the stress distribution remains entirely compressive across the section. This is crucial for structural elements like dams where tensile stresses could lead to failure.
The calculator uses the formula:
Where:
Explanation: This formula ensures that when a load is applied within this eccentricity limit, the entire cross-section remains in compression, preventing tensile stresses that could compromise structural integrity.
Details: Calculating the maximum allowable eccentricity is essential for structural design to ensure that no tensile stresses develop in materials like concrete and masonry that have poor tensile strength.
Tips: Enter the dam thickness in meters. The value must be positive and greater than zero for valid calculation.
Q1: Why is the eccentricity limit t/6 for rectangular sections?
A: This limit ensures the resultant force falls within the middle third of the section, maintaining compressive stresses throughout and preventing tensile cracking.
Q2: What happens if the eccentricity exceeds t/6?
A: If eccentricity exceeds this limit, tensile stresses will develop on one side of the section, which can lead to cracking and potential structural failure.
Q3: Does this formula apply to all materials?
A: This principle is particularly important for brittle materials like concrete and masonry that have limited tensile strength.
Q4: How is this related to the kern of a section?
A: The t/6 limit defines the boundary of the kern for rectangular sections - the area where loads can be applied without causing tensile stresses.
Q5: Are there different eccentricity limits for other section shapes?
A: Yes, different cross-sectional shapes have different kern boundaries and thus different maximum allowable eccentricities.