Calculate retaining wall overturning and sliding factors of safety (FS), Rankine active earth pressure, footing bearing pressures, and eccentricity under geotechnical codes.

Calculate duty cycle, minimum inductance for CCM, peak switch currents, coupling capacitor, and output ripple for inverting Buck-Boost and SEPIC DC-DC converters.

Calculate ball mill grinding energy, motor power draw, and mill sizing using Bond

Calculate fastener tightening torque, clamp preload tension, tensile stress area, nut factor K friction losses, and von Mises stress for ISO Metric and SAE Grade bolts.

Design classical control systems phase-lead and phase-lag compensators. Compute maximum phase lead, alpha/beta ratio, corner frequencies, and interactive Bode plots.

Calculate frequency response, Bode magnitude (dB) and phase (deg) plots, Gain Margin (GM), Phase Margin (PM), and crossover frequencies for control systems.

Calculate blood flow hemodynamics, systemic vascular resistance (SVR), Hagen-Poiseuille vessel resistance, wall shear stress, Reynolds number, and arterial stenosis pressure drops.

Calculate fluid velocity, static pressure, and elevation head along streamlines.

Calculate differential pressure flow rates through Venturi meters, orifice plates, and flow nozzles using Bernoulli

Calculate pitch length and center distance for open and crossed pulley belt drives.