Mechanical: Machine Design and Materials PE

Free Mechanical: Machine Design and Materials PE equations calculator for PE exam prep. 19 formulas with Excel templates, worked examples, and exam tips.

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All Mechanical: Machine Design and Materials PE Equations (19)

Frequently Asked Questions

How do I use Axial Stress on the PE exam?

Remember that axial stress is positive for tension and negative for compression. Always check if the cross-sectional area is given or needs to be calculated from diameter/dimensions. Watch units carefully - stress problems often mix kips with inches or kN with mm.

How do I use Bearing Life on the PE exam?

L10 life represents 90% reliability (10% of bearings fail by this point). Always verify units match between C and P. For exam problems, you may need to calculate equivalent load P from radial and axial components using bearing-specific factors.

How do I use Belt Tension Ratio on the PE exam?

This is the Eytelwein (belt friction) equation. Remember wrap angle must be in radians. Larger wrap angles and higher friction coefficients allow greater tension ratios before slipping. Often appears with power transmission problems where you need to check if belt will slip under load.

How do I use Bending Stress on the PE exam?

This is THE fundamental bending equation. Know that y is measured from the neutral axis (centroid), maximum stress occurs at extreme fibers (y = c), and the equation assumes linear elastic behavior. Watch for section modulus S = I/c shortcuts.

How do I use Bolt Preload on the PE exam?

CRITICAL: Torque coefficient definitions vary. Some sources use K where T = K×F_i (K ≈ 0.2), others use K_t where F_i = K_t×T (K_t ≈ 5). Always check the problem statement for the relationship direction. Standard lubricated bolts: K ≈ 0.2, so F_i ≈ T/0.2 = 5T.