# Mechanics of Materials

Browse 10 mechanics of materials tools online. Use them in your browser with server-side processing; text inputs are not stored and uploaded files are deleted after 6 hours.

> Canonical page: https://elysiatools.com/en/tags/mechanics-of-materials

## Overview

Explore 10 browser-based tools for mechanics of materials workflows, with processing handled on Elysia Tools servers and no software installation required.

## Frequently asked questions

### What can I do with Mechanics of Materials tools?

You can explore and use tools grouped under mechanics of materials for supported calculations, data handling, and related workflows through a browser interface.

### How is my data handled?

Requests are submitted through the browser and processed on Elysia Tools servers. Text inputs are not stored, and uploaded files are automatically deleted after 6 hours.

### Do I need to install software?

No. You can access these mechanics of materials tools through your browser without installing desktop software.

## Tools

- [Beam Reaction Force Calculator (Simply Supported)](https://elysiatools.com/en/tools/beam-reaction-force): Calculate support reactions of a simply supported beam via static equilibrium. UDL: RA=RB=q·L/2. Center point load: RA=RB=P/2. Off-center point load at a: RA=P·b/L, RB=P·a/L. Also returns max shear Vmax and max moment Mmax.
- [Bending Stress Calculator](https://elysiatools.com/en/tools/bending-stress-calculator): Calculate the maximum bending (flexural) stress σ_max = M·c/I = M/Z at the outermost fiber of a beam section. Supports solid circle, rectangle, hollow tube, and I-beam; computes I, section modulus Z, and distance c automatically. Stress in MPa.
- [Cantilever Beam Calculator](https://elysiatools.com/en/tools/cantilever-beam-calculator): Calculate the maximum bending moment M_max, maximum shear force V_max and free-end deflection δ_max of a cantilever beam under a free-end point load P or a uniformly distributed load q. Point load: δ = PL³/(3EI); UDL: δ = qL⁴/(8EI).
- [Column Buckling Load Calculator (Euler)](https://elysiatools.com/en/tools/column-buckling-load): Calculate the Euler critical buckling load of an axially loaded column: P_cr = π²·E·I/(K·L)². Supports pinned-pinned (K=1), fixed-free (K=2), fixed-pinned (K=0.7), fixed-fixed (K=0.5). Returns effective length, radius of gyration, slenderness ratio λ, and critical stress σ_cr.
- [Beam Deflection Calculator](https://elysiatools.com/en/tools/deflection-calculator): Look up and compute the maximum deflection for four classic beam cases: cantilever with end point load (δ=PL³/3EI), cantilever with UDL (δ=qL⁴/8EI), simply supported with mid-span point load (δ=PL³/48EI), and simply supported with UDL (δ=5qL⁴/384EI).
- [Poisson's Ratio Calculator](https://elysiatools.com/en/tools/poisson-ratio-calculator): Calculate Poisson's ratio ν = −ε_transverse / ε_longitudinal and solve any of the three unknowns: ratio, lateral strain, or longitudinal strain. Tensile ε_long > 0 produces lateral contraction ε_lat < 0. Typical values: steel ≈ 0.30, aluminum ≈ 0.33, rubber ≈ 0.49, cork ≈ 0. Theoretical isotropic range 0 ≤ ν ≤ 0.5.
- [Shear Stress Calculator](https://elysiatools.com/en/tools/shear-stress-calculator): Calculate the maximum shear stress τ_max = V·Q/(I·b) at the neutral axis of a beam section. Supports rectangle (1.5V/A), solid circle (4V/3A), hollow tube, and I-beam (exact V·Q_web/(I·tw)). Also returns the average shear stress V/A for comparison.
- [Simply Supported Beam Calculator](https://elysiatools.com/en/tools/simply-supported-beam-calculator): Calculate the maximum bending moment M_max, maximum shear force V_max and support reactions for a simply supported beam under a uniformly distributed load, a mid-span point load, or a point load at an arbitrary position. UDL: M_max = qL²/8; mid-span: M_max = PL/4; offset: M_max = P·a·b/L.
- [Stress & Strain Calculator](https://elysiatools.com/en/tools/stress-strain-calculator): Calculate engineering stress σ = F/A and engineering strain ε = ΔL/L₀ under uniaxial load. Choose what to solve: for stress, enter force F (N) and cross-section area A (mm²) → result in MPa; for strain, enter original length L₀ and elongation ΔL (negative for compression) → dimensionless ratio. Units are self-consistent (N, mm) so stress comes out directly in MPa.
- [Young's Modulus Calculator](https://elysiatools.com/en/tools/youngs-modulus-calculator): Solve Young's modulus (modulus of elasticity) in the linear-elastic region using E = σ/ε (Hooke's law). Three directions: modulus E = σ/ε, stress σ = E·ε, strain ε = σ/E. Pick the unknown, supply the other two positive values. Result in MPa with a GPa reading (e.g. steel ≈ 200 000 MPa).

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