CAE Blog: FEA, CFD, Vibration and Automation Guides

Bolted joint cross-section with 30° pressure cones next to the bolted joint diagram, showing how an M12 class 10.9 bolt shares a 21 kN external load

FEA

Bolted Joints: Interactive Guide to Preload, Stiffness, Fatigue and Shear

Interactive guide to bolted joints: stress area, power screws, the nut factor, joint stiffness, load sharing, bolt fatigue and shear, per Shigley Ch. 8.
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Reynolds number regime map with typical critical values: about 2300 to 4000 for pipe flow, 5×10^5 for a flat plate, and 2×10^5 to 5×10^5 for the drag crisis on cylinders and spheres

CFD

Reynolds Number: Formula, Critical Values and Calculator

Reynolds number explained: the formula, how to choose the characteristic length and hydraulic diameter, critical values by geometry, and a free calculator.
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y+ and wall treatment in CFD: law of the wall u+ versus y+ with viscous sublayer, buffer, log-law and outer regions, a wall-resolved first cell at y+ of about 1 and a wall-function first cell at y+ of about 50

CFD

y+ Calculator and Wall Treatment in CFD: Wall Functions and First Cell Height

Free y+ calculator for CFD: get the first cell height for any fluid and speed, then learn wall functions, the law of the wall and wall treatment by flow type.
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Moment of inertia calculator: area moment of inertia formulas for a rectangle, circle, tube, I-beam and T-section about the centroidal x-axis

FEA

Moment of Inertia Calculator: Area Moment of Inertia of Beam Sections

Free moment of inertia calculator for beam sections: rectangle, I-beam, T, channel, angle, tube or any polygon. Get Ix, Iy, centroid, section modulus and more.
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Miles equation example: SDOF response PSD at fn = 200 Hz and Q = 10 on a NAVMAT P-9492 input, giving 11.2 GRMS from a 6.06 GRMS input

Vibration

Miles Equation: A Practical Guide to SDOF Random Vibration Response

Learn the Miles equation for random vibration: formula, assumptions, the one-octave rule, a worked GRMS example, and when to use the General Method instead.
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Strain-life curves with Morrow and SWT mean stress corrections for SAE 4130 steel, with measured strain-controlled test data overlaid

FEA

What is Low Cycle Fatigue? Guide for FEA Professionals

What is low cycle fatigue? Plastic strain per cycle, stabilized hysteresis loops, Coffin-Manson life prediction, mean stress relaxation, and the nonlinear FEA workflow that captures it.
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What Is Grms in Vibration? Here is a NAVMAT P-9492 acceleration PSD on log-log axes with the area under the curve hatched in red, showing GRMS as the square root of 36.7 g² equals 6.06.

Vibration

What Is Grms in Vibration? A Practical Guide for Random Vibration

Grms is the square root of the area under a PSD. Learn the log–log integration formulas, work through NAVMAT P-9492, and avoid the trapezoid trap.
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Engineering bracket shown transitioning from smooth solid to triangulated finite element mesh, titled Finite Element Method Analysis

FEA

Finite Element Method Analysis: From PDEs to Practical FEA​

A guide to the finite element method: how FEA turns differential equations into solvable systems, which analysis type to choose, and how to verify results.
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Substructuring in FEA condensing a full finite element model of a component into a superelement with retained master DOF.

FEA

Substructuring in FEA: Superelement & Craig-Bampton Guide

Substructuring condenses linear components into superelements with zero accuracy loss in statics. Learn static condensation, Guyan reduction vs Craig-Bampton CMS, and a proven workflow.
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