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Calculate maximum contact stress between two parallel cylinders

Calculate maximum contact stress between two parallel cylinders.

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Quick Answer

The calculate maximum contact stress between two parallel cylinders computes sigma_h from the input values you provide.

Calculator

sigma_h (MPa)
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Result Interpretation

Calculate maximum contact stress between two parallel cylinders computes sigma_h in MPa using the defined engineering formula and the input values provided. sigma_h is expressed in MPa. No universal acceptance threshold is defined by this calculator.

Worked Example

default_test

Given:

  • r_1 = 10
  • r_2 = 15
  • e_mod = 200
  • f_force = 1000
  • nu_pois = 0.3
  • l_contact = 20

Expected Result:

  • sigma_h = 25.643392711254

Engineering Interpretation:

Under the given input conditions, the calculated result is: sigma_h = 25.643392711254 MPa.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

sigma_h = 0.5992 * sqrt(f_force / l_contact * (1/r_1 + 1/r_2) * e_mod / (1 - pow(nu_pois, 2)))

sigma_h.

Variables

SymbolLabelRoleDescription
f_force f_force INPUT f_force
l_contact l_contact INPUT l_contact
r_1 r_1 INPUT r_1
r_2 r_2 INPUT r_2
e_mod e_mod INPUT e_mod
nu_pois nu_pois INPUT nu_pois
sigma_h sigma_h OUTPUT sigma_h

Calculation Steps

  1. Enter the f_force in N.
  2. Enter the l_contact in mm.
  3. Enter the r_1 in mm.
  4. Enter the r_2 in mm.
  5. Enter the e_mod in GPa.
  6. Enter the nu_pois in 1.
  7. Read the sigma_h (MPa) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Calculate maximum contact stress between two parallel cylinders estimates sigma_h based on the input parameters you provide

Why is f_force important in this calculation?

f_force is used directly in the calculation of sigma_h. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter f_force in N, the calculator uses it in the engineering formula to compute the output

How should I interpret the result sigma_h?

The calculator outputs sigma_h in MPa. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: f_force (N), l_contact (mm), r_1 (mm), r_2 (mm), e_mod (GPa). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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