Calculating Maximum Load and Factor of Safety for a Single Square-Thread Power Screw
What are the steps to determine the maximum load that can be borne by a single start square threaded power screw according to von Mises failure theory?
Steps to Determine Maximum Load of a Single Square-Thread Power Screw
The maximum load that can be borne by the power screw is calculated to ensure a factor of safety of 2 using von Mises failure theory. By following the steps outlined above and substituting the values provided, we can calculate the maximum load and the factor of safety for the single start square threaded power screw. Given: - Major Diameter (D) = 50mm - Pitch (p) = 8mm - Coefficient of Friction (μ) = 0.08 - Frictional Diameter of Collar (Df) = 1.25 * D - Yield Stress (σ_yield) = 240 MPa Now, let's calculate the maximum load and factor of safety: 1. Calculate the major diameter: D = 50mm 2. Calculate the frictional diameter of the collar: Df = 1.25 * 50 Df = 62.5mm 3. Calculate the mean diameter of the screw: dm = D - (0.5 * p) dm = 50 - (0.5 * 8) dm = 50 - 4 dm = 46mm 4. Calculate the torque required to overcome friction: T = (F * Df * μ) / 2 5. Calculate the equivalent stress in the screw: σ = (16 * T) / (π * dm²) 6. Calculate the maximum load that can be borne by the power screw: P = (π * dm² * σ_yield) / 4 7. Calculate the factor of safety for the power screw: FS = σ_yield / σ By plugging in the values and following the calculations, we can determine the maximum load and the factor of safety for the single square-thread power screw based on the given parameters.