Stress Concentration Calculator With Hole used Factor

Width (h):

Thickness (t):

Hole Diameter (d):

Tensile Load (P):

Stress Concentration Factor (K):

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1. What is the Stress Concentration Calculator?

Definition: This calculator determines the maximum stress in a bar with a central hole under tensile load, using the formula \( \sigma_{max} = K \frac{P}{A_{net}} \).

Purpose: Assesses stress concentration effects due to holes.

Reference:Applied Strength of Materials for Engineering Technology

http://www.etcs.pfw.edu/~dupenb/ET_200/Applied%20Str%20of%20Mat%20for%20ET%20v14%20July%202018.pdf

2. How Does the Calculator Work?

Formula:

\( \sigma_{max} = K \frac{P}{A_{net}} \)

Where:

\( \sigma_{max} \): Maximum stress
\( K \): Stress concentration factor (user-defined, e.g., 2.36)
\( P \): Tensile load
\( A_{net} \): Net cross-sectional area = (h - d) * t

Steps:

Step 1: Input Width. Enter the bar width (e.g., 80 mm).
Step 2: Input Thickness. Enter the thickness (e.g., 16 mm).
Step 3: Input Hole Diameter. Enter the hole diameter (e.g., 20 mm).
Step 4: Input Tensile Load. Enter the load (e.g., 900 N).
Step 5: Input Stress Concentration Factor. Enter the factor K (e.g., 2.36).
Step 6: Calculate. The calculator computes the maximum stress in MPa.

3. Importance of Stress Concentration Calculation

Calculating maximum stress is crucial for:

Safety: Prevents failure due to stress concentration.
Design Optimization: Ensures material strength is utilized effectively.
Unit Consistency: Supports conversions across units (e.g., mm, cm, in, ft, N to kN).

4. Using the Calculator

Example: \( h = 80 \, mm \), \( t = 16 \, mm \), \( d = 20 \, mm \), \( P = 900 \, N \), \( K = 2.36 \):

Step 1: \( A_{net} = (80 - 20) \cdot 16 = 960 \, mm^2 \).
Step 2: \( \sigma_{max} = 2.36 \cdot \frac{900}{960} = 2.21 \, MPa \).

5. Frequently Asked Questions (FAQ)

Q: What is stress concentration factor (K)?
A: A factor (e.g., 2.36) that amplifies stress due to the hole, based on geometry or material properties.

Q: Can I use different units?
A: Yes, the calculator converts cm, in, and ft to mm, and kN to N internally.

Q: Why is net area important?
A: It accounts for the reduced cross-section due to the hole.