Length Of Cylinder Given Resisting Force Of Wire Per Mm Length Calculator

Formula Used:

\[ L_{cylinder} = \frac{2 \times F}{\pi \times G_{wire} \times \sigma_{w}} \]

Force (F):

Newton

Diameter of Wire (G_wire):

Meter

Stress in Wire Due to Fluid Pressure (σ_w):

Pascal

Length Of Cylindrical Shell (L_cylinder):

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1. What is Length Of Cylindrical Shell Calculation?

The Length Of Cylindrical Shell calculation determines the required length of a cylindrical shell based on the resisting force of wire per mm length, wire diameter, and stress in the wire due to fluid pressure. This is important in pressure vessel design and mechanical engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L_{cylinder} = \frac{2 \times F}{\pi \times G_{wire} \times \sigma_{w}} \]

Where:

\( L_{cylinder} \) — Length of Cylindrical Shell (Meter)
\( F \) — Force (Newton)
\( G_{wire} \) — Diameter of Wire (Meter)
\( \sigma_{w} \) — Stress in Wire Due to Fluid Pressure (Pascal)
\( \pi \) — Archimedes' constant (approximately 3.1416)

Explanation: This formula calculates the required length of a cylindrical shell to withstand the specified force given the wire diameter and stress limitations.

3. Importance of Cylinder Length Calculation

Details: Accurate calculation of cylindrical shell length is crucial for proper pressure vessel design, ensuring structural integrity and safety under fluid pressure conditions.

4. Using the Calculator

Tips: Enter force in Newtons, wire diameter in meters, and stress in Pascals. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What applications use this calculation?
A: This calculation is primarily used in pressure vessel design, hydraulic systems, and mechanical engineering applications involving cylindrical containers under pressure.

Q2: Why is wire diameter important in this calculation?
A: Wire diameter directly affects the cross-sectional area and thus the stress distribution and load-bearing capacity of the system.

Q3: What factors affect stress in wire due to fluid pressure?
A: Material properties, fluid pressure magnitude, temperature, and wire diameter all influence the stress developed in the wire.

Q4: Are there limitations to this formula?
A: This formula assumes uniform stress distribution and may need adjustments for extreme temperatures, dynamic loads, or non-standard material properties.

Q5: How does force relate to fluid pressure in this context?
A: The force represents the total load exerted by the fluid pressure on the cylindrical shell, which is resisted by the wire winding.