Free tables, graphs, and charts (PDFs)
We consider these "legacy" materials from the old days before computer-based testing (CBT). We still have them here for reference purposes and because they might be useful to you as an engineer outside of studying for the exam. After the transition to CBT, test takers are no longer allowed any supporting materials into the exam room.
If you're looking for our free, full-length practice exam, you may find it HERE.
If you're looking for free sample pages from our study problems books, you may find those HERE. Otherwise, feel free to download these useful tables and graphs:
If you're looking for our free, full-length practice exam, you may find it HERE.
If you're looking for free sample pages from our study problems books, you may find those HERE. Otherwise, feel free to download these useful tables and graphs:
Water-Steam Tables, Mollier Diagram
Water-Steam Saturation Properties (by Temperature in US Units
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Mollier Diagram for Water/Steam - US Customary System
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Water-Steam Saturation Properties (by Pressure in US Units)
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The most detailed and comprehensive superheated steam tables we can find freely available online can be downloaded HERE for USCS units.
For SI Units, probably the best tables are those from NIST. The saturated water temperature table is HERE. The saturated water pressure table is HERE, and the compressed water/superheated vapor table is HERE. |
Compressible Flow Tables & Graphs
Isentropic, Compressible Flow Factors for Air (k=1.4) Tables
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Isentropic, Compressible Flow Factors for Air (k=1.4) Graphs
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Normal Shock Factors for Air (k=1.4) Tables
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Normal Shock Factors for Air (k=1.4) Graphs
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Psychrometric Charts and P-h Diagrams
Pressure-Enthalpy Diagram for Ammonia - US Customary System
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Psychrometric Chart. Sea Level. Normal Temperature Range. US Customary System.
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Psychrometric Chart. Sea Level. Normal Temperature Range. US Customary System with SHR Protractor
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Psychrometric Chart. Sea Level. Normal Temperature Range. SI.
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1D Transient Heat Conduction
Heisler Chart for Centerline Transient Temperature for a Plane Wall
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Equation for 1D Transient Heat Conduction: Plane Wall
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Equation for 1D Transient Heat Conduction: Infinite Cylinder
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Equation for 1D Transient Heat Conduction: Sphere
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Thermo-physical Properties (Appendices from McGraw-Hill Textbooks)
Property Tables & Charts SI Units. Appendix from Cengel and Boles Thermodynamics Textbook
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Property Tables & Charts English Units. Appendix from Cengel and Boles Thermodynamics Textbook
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Property Tables & Charts SI Units. Appendix from Cengel and Ghajar Heat Transfer Textbook
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Property Tables & Charts English Units. Appendix from Cengel and Ghajar Heat Transfer Textbook
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Shell and Tube Heat Exchangers
Effectiveness-NTU Curves
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LMTD Correction Factors
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