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Physics

Materials And Continuum Mechanics calculators

39 calculators
Density Calculator Find density, mass, or volume with ρ = m/V. Switch metric and imperial units, build volume from box dimensions, get specific gravity, and compare to common materials. Open Specific Gravity Calculator Convert density to specific gravity or solve it in reverse. Pick a substance preset, set water temperature, and see if it floats, sinks, plus density and API gravity. Open Angle of Repose Calculator Calculate the angle of repose from heap geometry or friction coefficient. Includes flowability classification, material reference table, and worked steps. Open Angle of Twist Calculator Calculate the angle of twist, shear stress, polar moment, and torque capacity for solid or hollow shafts. Metric and imperial units, material presets, worked steps. Open Bend Allowance Calculator Calculate bend allowance, bend deduction, and flat blank length for any sheet metal bend. Enter thickness, inside radius, bend angle, and K-factor for instant results. Open Brinell Hardness Number Calculator (HBW) Calculate Brinell hardness (HBW) from applied load, ball diameter and indentation diameter. Metric and imperial units, step-by-step solution, ISO 6506-1 formula. Open Buckling Calculator Calculate the critical buckling load for a column using the Euler or Johnson formula. Enter length, moment of inertia, material, and end conditions. Instant results. Open Bulk Modulus Calculator Calculate bulk modulus from pressure and volume change in Pa, kPa, MPa, GPa or psi. Forward and reverse solve, show-your-work steps, and a material reference table. Open Copper Wire Weight Calculator Calculate copper wire weight by AWG gauge or diameter. Supports metric and imperial units, insulation types, bundle weight, cost estimate, and reverse length solve. Open Elastic Constants Calculator Convert any two elastic constants to all six: Young's modulus, shear modulus, bulk modulus, Poisson's ratio, Lame's constant, and P-wave modulus. All 15 pairs. Open Elongation Calculator Calculate percent elongation, true strain, and axial deformation for any material. Includes material presets, elongation-at-break comparison, and a stress-strain chart. Open Factor of Safety Calculator Calculate the factor of safety from stress or load values. Supports material presets, yield vs. ultimate strength, unit switching, and FoS reference ranges by application. Open Gold Weight Calculator Calculate the weight of a gold object by shape and karat - sheet, wire, tube, bead or ring. Get mass in grams and troy ounces plus an optional value estimate. Open Hoop Stress Calculator Calculate hoop (circumferential) stress in thin-walled cylinders and spheres. Includes longitudinal stress, safety factor, and diameter change. Metric and imperial. Open Impact Test Calculator - Charpy and Izod Calculate Charpy and Izod impact energy absorbed, impact strength, capacity utilization, and impact velocity. Height mode, angle mode, metric and imperial units. Open Intrinsic Carrier Concentration Calculator Calculate intrinsic carrier concentration for silicon, germanium, and GaAs at any temperature. Uses the Varshni band-gap model and Misiakos empirical formula. Open Mohr's Circle Calculator Calculate principal stresses, maximum shear stress, von Mises stress and rotation angle from a 2D plane stress state. Shows full step-by-step Mohr's circle math. Open Natural Frequency Calculator Calculate natural frequency for spring-mass, cantilever, simply-supported, and fixed-fixed beam systems. Get results in Hz, rad/s, period, and RPM instantly. Open Number Density Calculator Calculate number density from mass density and molar mass, ideal gas pressure and temperature, or free-electron carrier concentration. Step-by-step math included. Open Poisson's Ratio Calculator Calculate Poisson's ratio from lateral and axial strain, Young's and shear moduli, or bulk modulus. Get derived moduli and a worked step-by-step breakdown. Open Principal Stress Calculator Calculate principal stresses (sigma1, sigma2), max shear stress, Von Mises stress and principal angle for any plane stress state. Step-by-step working shown. Open Rockwell Hardness Conversion Calculator Convert Rockwell hardness (HRC, HRB) to Vickers HV, Brinell HBW, Knoop HK, and approximate tensile strength for steel. Based on ASTM E140 reference data. Open Section Modulus Calculator Calculate elastic and plastic section modulus, second moment of area, and maximum bending stress for rectangles, I-beams, pipes, T-sections and more. Open Shear Modulus Calculator Calculate shear modulus G from shear stress and strain, force and geometry, or Young's modulus and Poisson's ratio. Metric and imperial units with step-by-step working. Open Shear Strain Calculator Calculate shear strain by displacement, shear stress/modulus, or torsion. Three modes, instant results, step-by-step working shown for each method. Open Shear Stress Calculator Calculate shear stress using direct (F/A), torsional (Tr/J), or transverse beam (VQ/It) formulas. Metric and imperial units, factor of safety, step-by-step solution. Open Shear Wave Velocity Calculator Calculate shear wave velocity from shear modulus and density, reverse-solve for G or rho, find wavelength or frequency, and classify seismic site class (NEHRP Vs30). Open Slenderness Ratio Calculator Calculate slenderness ratio (KL/r) for structural columns. Covers end conditions, cross-section shapes, Euler critical load, critical stress, and column classification. Open Stiffness Matrix Calculator Calculate the local and global stiffness matrix for 2D truss, beam, and frame elements. Euler-Bernoulli formulation, instant results, worked steps, and DOF reference. Open Stress Calculator Calculate mechanical stress (σ = F/A), strain (ε = ΔL/L), and Young's modulus with unit switches, material presets, and a full worked-step panel. Open Stress Concentration Factor Calculator Calculate Kt, notch sensitivity q, and fatigue notch factor Kf for plates with holes and shoulder fillets. Free online tool with worked steps and charts. Open Thermal Stress Calculator: Stress, Strain, Force and Expansion Calculate thermal stress, strain, axial force, and free expansion for 11 preset materials or custom inputs. Metric and imperial with step-by-step working. Open Torsional Constant Calculator Calculate the St. Venant torsional constant J for solid circles, rectangles, hollow pipes, ellipses, and I-sections. Includes angle of twist and shear stress. Open Torsional Stiffness Calculator Calculate torsional stiffness, angle of twist, shear stress, and power for solid or hollow circular shafts. Metric and imperial units, step-by-step working. Open True Strain Calculator: Logarithmic Strain, True Stress and Multi-Pass Deformation Calculate true (logarithmic) strain from length, engineering strain, or cross-sectional area. Includes true stress conversion and multi-pass deformation totals. Open Vickers Hardness Number Calculator: HV Formula and Conversions Calculate Vickers Hardness Number (HV) from load and diagonal, reverse-solve for force or diagonal, and convert HV to Brinell, Rockwell C, and tensile strength. Open Volume to Mass Calculator Convert volume to mass (or mass to volume) for 50+ materials. Enter volume and density or pick a preset material. Supports metric and imperial units. Instant results. Open Von Mises Stress Calculator Calculate von Mises stress from plane stress, a 3D stress tensor, or principal stresses. Get the utilization ratio and factor of safety against yield. Open Young's Modulus Calculator Calculate Young's modulus from stress and strain, or derive stress or strain from a known modulus, with force, area, and length-change inputs and unit switches. Open
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