CALCULATE WITH CONFIDENCE

Engineering · Stress, Failure & Materials

Beam Bending and Transverse Shear Stress Calculator

Calculate flexural stress at an entered fibre or transverse shear stress at an entered section cut using explicit section properties.

Engineering · Stress, Failure & Materials

Enter the engineering model

Explicit properties, geometry, units and assumptions
  1. 1EnterProvide the known values
  2. 2CalculateResults update automatically
  3. 3VerifyReview the details and units
Try an example
Visual modelSchematic · not to scale
Stress, Failure & Materials: bending visual explanationA simplified diagram showing the relationship represented by the selected calculator mode. It is explanatory and not a fabrication, safety or scale drawing.flexural stress varies with fibre distance ysection properties must match the selected axis and location
The diagram explains the selected relationship only. Dimensions, symbols and proportions are illustrative; use the entered values and stated assumptions for the calculation.

Keep every unit basis, sign convention, property source and idealization consistent. Values stay in this browser.

Engineering calculation result

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Enter valid values to see the result.

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Understand the model

What this calculator is for

Beams carry bending through normal stress across their depth and transverse shear through a different distribution. This calculator keeps those two mechanisms visibly separate.

1Choose bending or transverse shear.
2Use section properties belonging to the same axis and location.
3Preserve the sign convention when interpreting the result.

Visual explanation

Flexural stress grows with distance from the neutral axis; VQ/It evaluates shear at a particular cut using the area located beyond that cut.

The governing relationship

Flexure: σ=My/I. Transverse shear: τ=VQ/(It). The calculator keeps both stress mechanisms and their required properties visibly separate.

Keep the boundary visible

Elementary prismatic-beam equations only. Section-property derivation, plasticity, stress concentrations, shear flow at joints, local buckling, lateral-torsional buckling and code checks are excluded.

Quick guide

How to use this calculator

  1. Choose the analysis mode that matches the physical model before entering values.
  2. Enter properties, geometry, loads, states and coefficients from one consistent unit and sign convention.
  3. Use the intermediate outputs to audit the relationship, then retain the stated idealization before applying it.

Calculation method

Transparent engineering model

Flexure: σ=My/I. Transverse shear: τ=VQ/(It). The calculator keeps both stress mechanisms and their required properties visibly separate.

The calculator evaluates only the declared relationship and preserves visitor-entered assumptions rather than selecting materials, factors, components or standards.

Worked example

Worked example

M=20 kN·m, y=0.1 m and I=8×10⁻⁵ m⁴ give a flexural stress magnitude of 25 MPa.

Flexure: σ=My/I. Transverse shear: τ=VQ/(It). The calculator keeps both stress mechanisms and their required properties visibly separate.

Supported inputs

Precision and limits

Analysis, not approval

Elementary prismatic-beam equations only. Section-property derivation, plasticity, stress concentrations, shear flow at joints, local buckling, lateral-torsional buckling and code checks are excluded.

Standards and properties

Material properties, allowable values, load combinations, safety factors, correlations, manufacturer data, codes and jurisdictional requirements are not supplied automatically.

Units and precision

Use one consistent unit basis. Results retain working precision but cannot be more accurate than the entered measurements and properties.

Privacy

Entered engineering values and results stay in this browser and are not sent to analytics or third parties.