Root Diameter, Lead Angle, Load Capacity, Composite Stress, and Efficiency of Screw Jack
How to calculate the root diameter, lead angle, and tanλ of a square screw jack?
What is the formula to determine the load capacity of the screw jack?
How to calculate the composite stress of the screw?
What is the expression for the efficiency of the screw itself?
How can the efficiency be calculated by considering the friction loss of the collar part?
Calculation:
(1) The root diameter (d₁) can be calculated using the effective diameter (d₂) and the number of turns required to advance: d₁ = d₂ - 2 * (25 / (2.5 * 2π)
The lead angle (λ) can be calculated using the formula: tanλ = (π * d₁) / (25 * 2.5)
(2) The load capacity (W) can be determined using the equation: W = (μcollar / μscrew) * (π * (0.04)^2)
(3) The composite stress (σc) of the screw can be calculated by: σc = (W * d₂) / (π * d₁^2)
(4) The efficiency of the screw can be derived by considering the work done by the screw and against friction: Efficiency = (Work done by screw) / (Work done by input force) * 100
When dealing with a square screw jack, it is essential to understand the calculations involved in determining key parameters. The root diameter, lead angle, load capacity, composite stress, and efficiency of the screw jack are crucial factors to consider.
Root Diameter, Lead Angle, and Load Capacity:
The root diameter (d₁) can be calculated based on the effective diameter (d₂) and the number of turns required to advance by 25 mm. The lead angle (λ) can then be determined using the formula provided. Additionally, the load capacity (W) of the screw jack depends on the angle of friction, coefficient of friction of the screw and thrust collar face. By utilizing the given equation, the load capacity can be calculated efficiently.
Composite Stress and Efficiency:
Furthermore, the composite stress of the screw can be evaluated by considering the load and diameters involved in the system. The efficiency of the screw itself can be determined by analyzing the work done by the screw and the input force. The expression for efficiency provides insight into the effectiveness of the screw jack in lifting loads with minimized friction loss.