Formula Used:
Definition: This calculator determines the required diameter of rollers or rockers in structural applications based on allowable bearing stress and steel yield stress.
Purpose: It helps engineers design appropriate roller/rocker diameters that can safely handle specified loads without exceeding material limits.
The calculator uses the formula:
Where:
Explanation: The formula accounts for the relationship between bearing capacity and material yield strength, with empirical constants derived from engineering practice.
Details: Correct diameter calculation ensures structural integrity, prevents premature failure, and maintains proper load distribution in expansion joints and bearings.
Tips: Enter the allowable bearing stress (Fp), steel yield stress (Fy), and tolerance percentage. Fy must be > 13 Pa.
Q1: What's a typical tolerance for roller diameters?
A: ±5% is common, but this may vary based on application requirements.
Q2: Why is there a minimum Fy value?
A: The formula becomes invalid when Fy ≤ 13 due to division by zero or negative values.
Q3: How does bearing stress affect diameter?
A: Higher allowable bearing stress permits smaller diameters, while lower stress requires larger diameters.
Q4: What steel grades are appropriate for rollers/rockers?
A: Typically A36 (Fy=250 MPa) or higher strength steels, depending on load requirements.
Q5: Does this account for dynamic loads?
A: The basic formula is for static loads. Dynamic applications may require additional safety factors.