Width of Plates given Maximum Bending Stress Developed in Plates Calculator

Formula Used:

\[ B = \frac{3 \cdot w \cdot l}{2 \cdot n \cdot \sigma \cdot t_p^2} \]

Point Load at Center of Spring (w):

Span of Spring (l):

Number of Plates (n):

Maximum Bending Stress in Plates (σ):

Thickness of Plate (t_p):

Width of Full Size Bearing Plate (B):

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1. What is Width of Plates given Maximum Bending Stress Developed in Plates?

This calculation determines the width of full size bearing plates based on point load, span, number of plates, maximum bending stress, and plate thickness. It's essential for designing leaf springs and similar structural elements.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ B = \frac{3 \cdot w \cdot l}{2 \cdot n \cdot \sigma \cdot t_p^2} \]

Where:

\( B \) — Width of full size bearing plate (m)
\( w \) — Point load at center of spring (N)
\( l \) — Span of spring (m)
\( n \) — Number of plates
\( \sigma \) — Maximum bending stress in plates (Pa)
\( t_p \) — Thickness of plate (m)

Explanation: This formula calculates the required plate width to withstand the given bending stress under specified loading conditions.

3. Importance of Width Calculation

Details: Accurate width calculation ensures structural integrity, prevents material failure, and optimizes design for leaf springs and similar plate-based structural elements.

4. Using the Calculator

Tips: Enter all values in appropriate units (N for load, m for dimensions, Pa for stress). Ensure all values are positive and within reasonable ranges for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the point load at center?
A: The point load represents the concentrated force applied at the center of the spring, which creates maximum bending moment.

Q2: How does plate thickness affect the width calculation?
A: Thicker plates require less width to withstand the same bending stress, as thickness is squared in the denominator.

Q3: What is typical maximum bending stress for spring steel?
A: Typical maximum bending stress for spring steel ranges from 1000-2000 MPa, depending on the specific alloy and heat treatment.

Q4: Can this formula be used for other materials besides steel?
A: Yes, but the maximum bending stress value must be appropriate for the specific material being used.

Q5: How does increasing the number of plates affect the width?
A: Increasing the number of plates reduces the required width per plate, as the load is distributed among more plates.