Best Calculators for the PE Exam 2026: All NCEES-Approved Models Compared
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A solid circular shaft transmits 50 kW of power at 300 RPM. What is the approximate torque transmitted by the shaft?
Pe Mech Design Analysis
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FE Mechanical vs PE Mechanical 2026: Which Exam, When, and the Path to a PE License
FE Mechanical vs PE Mechanical compared for 2026: format, NCEES fees ($225 vs $400), pass rates, eligibility, the three PE depth exams, and the FE to EIT to PE licensure timeline.
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According to the maximum shear stress theory (Tresca criterion), yielding occurs when the maximum shear stress equals:
Chapter 1: Exam Overview, Reference Handbook & Mechanical Engineering Fundamentals
1.1 NCEES PE Mechanical CBT Format, Three Disciplines & Reference Handbook Strategy
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A helical compression spring has a spring rate of 50 N/mm. If the spring is compressed by 20 mm, what is the stored strain energy?
Question · Easy
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FE Exam Study Guide 2026: Pass Rates by Discipline
Which failure theory is most appropriate for brittle materials under static loading?
Complete guide to every NCEES-approved calculator for the 2026 PE exam. Side-by-side comparison of TI-36X Pro, Casio fx-115ES Plus, fx-991CW, TI-30XIIS & more — with discipline-specific tips for Civil, Mechanical, Electrical, Chemical, and Environmental PE exams.
A cantilever beam with length L carries a concentrated load P at its free end. What is the maximum bending moment?
Where does this beam break first?
FE exam pass rates vary by discipline (Civil, Mechanical, Electrical and Computer, Other). Free guide with NCEES study schedules and strategies to pass first try.
In a bolted connection, what is the primary purpose of washers?
1.2 Engineering Economics, Cash Flow & Project Evaluation and Scheduling
A rotating shaft experiences completely reversed bending stress with a maximum value of 80 MPa. If the endurance limit is 200 MPa and the fatigue stress concentration factor is 1.5, what is the factor of safety against fatigue failure using the Soderberg criterion? Assume the yield strength is 400 MPa.
Question · Hard
What is the critical speed of a shaft?
A pair of spur gears has a velocity ratio of 4:1. If the pinion has 20 teeth, how many teeth does the gear have?
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In a four-bar linkage, the link that makes a complete revolution is called the:
1.3 Units, Dimensional Analysis & Physical Constants
A thick-walled pressure vessel has an internal radius of 100 mm and external radius of 200 mm. If the internal pressure is 50 MPa, what is the maximum circumferential (hoop) stress using Lame's equations?
What is the primary function of a flywheel in a mechanical system?
A column with pinned ends has a length of 2 meters and a minimum radius of gyration of 25 mm. What is the slenderness ratio?
In a bolted joint subjected to external tensile load, what happens to the bolt load when the external load is applied?
1.4 Statics, Dynamics & Mechanical Equilibrium
A system has a natural frequency of 10 Hz. If a forcing function at 12 Hz is applied, what type of vibration occurs?
In a vapor-compression refrigeration cycle, what is the condition of the refrigerant leaving the condenser?
Pe Mech Hvac Refrigeration
What is the coefficient of performance (COP) of an ideal vapor-compression refrigeration cycle operating between an evaporator temperature of -10°C (263 K) and a condenser temperature of 30°C (303 K)?
The dew point temperature of moist air is defined as:
Chapter 2: Mechanical Design & Analysis (Stress, Failure Theories & Components)
2.1 Stress, Strain, Principal Stresses & Combined Loading
A building has a total cooling load of 100 kW. If the sensible heat factor (SHF) is 0.75, what is the latent cooling load?
In a psychrometric chart, lines of constant wet-bulb temperature run approximately:
What is the primary purpose of a thermal expansion valve (TXV) in a refrigeration system?
The U-factor (overall heat transfer coefficient) of a building wall assembly accounts for:
2.2 Static Failure Theories for Ductile and Brittle Materials
A refrigeration system operates with a refrigerating effect of 150 kJ/kg and a compressor work input of 50 kJ/kg. What is the coefficient of performance?
Which component is typically used to remove moisture and contaminants from refrigerant in a vapor-compression system?
In an air distribution system, the total pressure is the sum of:
The process of adiabatic saturation on a psychrometric chart follows a line of constant:
2.3 Fatigue Analysis, S-N Curves & Fluctuating Stresses
A heat pump operating in heating mode has a COP of 4. If the power input is 5 kW, what is the heating capacity?
In a cooling tower, the approach is defined as:
Water flows through a pipe with an inside diameter of 50 mm at a velocity of 1.6 m/s. What is the volumetric flow rate?
Pe Mech Thermal Fluids
According to Bernoulli's equation, as the velocity of a fluid increases in a horizontal pipe, the pressure:
2.4 Pressure Vessels, Column Buckling & Spring Design
The Reynolds number for flow in a pipe is defined as:
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