Bending Moment Formula:
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Definition: This calculator determines the bending moment capacity of steel tubes based on material properties and geometric characteristics.
Purpose: It helps engineers and designers evaluate the structural performance of tubular members under bending loads.
The calculator uses the formula:
Where:
Explanation: The formula calculates the maximum bending moment a tube can withstand before yielding begins.
Details: Proper calculation ensures structural integrity, prevents material failure, and helps optimize tube selection for applications like frames, handrails, and structural supports.
Tips: Enter the material yield strength, moment of inertia (from engineering tables), and distance to the outermost fiber (typically half the tube height). All values must be > 0.
Q1: What's a typical yield strength for steel tubes?
A: Common structural steel has yield strength around 36,000 psi, while high-strength steel can be 50,000 psi or more.
Q2: How do I find the moment of inertia for a tube?
A: Use the formula \( I = \frac{\pi}{64}(D^4 - d^4) \) where D is outer diameter and d is inner diameter.
Q3: What safety factors should I consider?
A: Engineering standards typically recommend safety factors of 1.5-2.0 for structural applications.
Q4: Does this account for buckling?
A: No, this calculates yielding only. Thin-walled tubes may fail by buckling before reaching this bending capacity.
Q5: Can I use this for rectangular tubes?
A: Yes, but you'll need to use the appropriate moment of inertia formula for rectangular sections.