Modulus of Rupture Formula:
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Definition: Modulus of Rupture (MOR) measures a pipe's strength when subjected to bending forces, indicating the maximum stress it can withstand before failure.
Purpose: This calculation helps engineers determine pipe durability and select appropriate materials for specific load conditions.
The calculator uses the formula:
Where:
Explanation: The formula calculates the bending stress at which a pipe will rupture by considering the applied load, pipe geometry, and material properties.
Details: Accurate MOR calculation ensures pipes can handle expected loads without failure, preventing structural collapses and material waste.
Tips: Enter the maximum expected load in Newtons, pipe radius in meters, and moment of inertia in m⁴. All values must be > 0.
Q1: What units should I use for inputs?
A: Use Newtons (N) for load, meters (m) for radius, and meters to the fourth power (m⁴) for moment of inertia.
Q2: How do I find the moment of inertia for my pipe?
A: For a circular pipe, \( I = \frac{\pi}{4}(r_o^4 - r_i^4) \), where \( r_o \) is outer radius and \( r_i \) is inner radius.
Q3: What's a typical MOR value for pipes?
A: Values vary widely by material - concrete pipes might be 3-7 MPa, while steel pipes can exceed 400 MPa.
Q4: How does pipe wall thickness affect MOR?
A: Thicker walls increase moment of inertia (I), generally resulting in higher rupture resistance.
Q5: Does this calculation account for safety factors?
A: No, engineers should apply appropriate safety factors based on application requirements and standards.