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">  <div style="">  <script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script> <ins class="adsbygoogle" style="display:block; text-align:center;" data-ad-layout="in-article" data-ad-format="fluid" data-ad-client="ca-pub-4893968732705577" data-ad-slot="7922155920"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> </div> <div class="main-meat"> <table width="100%" border="0" cellspacing="0" cellpadding="0"> <tr><td height="20"></td></tr> <tr><td class="title"><font color="#cc6600"><b>Financial Calculators</b></font></td></tr> <tr><td height="4"><img src="images/section_bar_1.png"></td></tr> </table> <p> <table width="100%" border="0" cellspacing="3" cellpadding="5"> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="formulae/finance/loan_calculator.cfm"><b>Loan Calculator</b></a></span><br> This calculator takes any two of the three variables (Loan, Interest Rate, and Number of months) and gives the answer for the remaining one. The <a href="formulae/finance/loan_calculator_u.cfm">advanced version</a> allows for different compounding and payment frequencies. Also, Canadian users will find this <a href="formulae/finance/mortgage_payment_c.cfm">Canadian Mortgage Calculator</a> rather handy as the interests default to compound semi-annually. </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="formulae/finance/lease_calculator.cfm"><b>Lease Calculator</b></a></span><br> Leasing a car? Confused about the <a href="formulae/finance/moneyfactor.cfm"><b>money factor</b></a> that car dealers always mention? We have a <a href="formulae/finance/proof.cfm">mathematical proof</a> that relates money factor to the actual interest rate. The <a href="formulae/finance/lease_calculator_u.cfm">advanced version</a> allows for different compounding and payment frequencies. </td> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="formulae/finance/apr_calculator.cfm"><b>APR Calculator</b></a></span><br> So what is the difference between APR and the Interest Rate? This calculator gives a full definition of APR and helps you determine it for a given interest rate and points cost. The <a href="formulae/finance/apr_calculator_u.cfm">advanced version</a> allows for different compounding and payment frequencies. </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="units/show_currencies.cfm"><b>Currency Calculator</b></a></span><br> Updated daily, this calculator gives the exchange rates of more than 60 currencies and converts from one to another. </td> </tr> </table> <table width="100%" border="0" cellspacing="0" cellpadding="0"> <tr><td height="20"></td></tr> <tr><td class="title"><font color="#cc6600"><b>Engineering Design Aids</b></font></td></tr> <tr><td height="4"><img src="images/section_bar_1.png"></td></tr> </table> <p> <table width="100%" border="0" cellspacing="3" cellpadding="5"> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="units/index.cfm"><b>Unit Conversion Calculator</b></a></span><br> Featuring more than 800 units in our database (and growing), we give the unit definition and SI-dimensions in addition to converting from one unit to other units in the same family. </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="units/fractions.cfm"><b>Fraction Calculator</b></a></span><br> Design engineers, ever wonder what the closest 32<sup>nd</sup> number is for a decimal fraction? This calculator tells you where your decimal fraction stands on the 1/8, 1/16, 1/32, and 1/64 scales. </td> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="designstandards/gages/wire_forward.cfm"><b>Gage Calculator</b></a></span><br> There are so many systems for gaging <a href="designstandards/gages/wire_forward.cfm"><b>wires</b></a> and <a href="designstandards/gages/sheet_forward.cfm"><b>sheets</b></a>. This calculator allows you to convert back and forth between gages and the actual decimal numbers in different standards. </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="designstandards/oring/calc_oring_radial.cfm"><b>O-Ring Calculator</b></a></span><br> This calculator outputs the O-Ring inner diameter and the range of O-Ring cross-section diameters that will meet user prescribed limits on groove and bore diameters and O-Ring compression. </td> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="DesignStandards/springs/spring_calculators.cfm"><b>Spring Calculators</b></a></span><br> Frustrated by reading spring catalogs trying to figure out which spring gives you the right force or displacement? Maybe one of these <span class="red"><b>8</b></span> calculators can help you. More calculators will be added soon! </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="units/hardness/show_hardness.cfm"><b>Hardness Approx. Converter</b></a></span><br> This calculator explains and inter-converts comomonly used hardness scales, including Brinell, Knoop, Mohs, Rockwell, Shore, and Vickers. </td> </tr> </table> <table width="100%" border="0" cellspacing="0" cellpadding="0"> <tr><td height="20"></td></tr> <tr><td class="title"><font color="#cc6600"><b>Mechanical Formulas</b></font></td></tr> <tr><td height="4"><img src="images/section_bar_1.png"></td></tr> </table> <p> <table width="100%" border="0" cellspacing="3" cellpadding="5"> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="formulae/solid_mechanics/beams/casestudy_beamtypes.cfm"><b>Beam Calculators</b></a></span><br> Featuring <span class="red"><b>11</b></span> calculators that output the displacement, rotation, force, moment, and shear for beams with different boundary conditions under various loadings. </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="formulae/vibrations/sdof_cal.cfm"><b>SDOF Vibration</b></a></span><br> This calculator returns the natural frquencies, damping ratio, and the closed-form solution for a Single-Degree-Of-Freedom mass-spring-damper system. </td> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="formulae/fluids/calc_reynolds.cfm"><b>Reynolds Number</b></a></span><br> This calculator quickly gives you the Reynolds Number for a flow over a plate or a flow in a pipe. </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="formulae/fluids/venturi_flowmeter.cfm"><b>Venturi Flowmeter</b></a></span><br> This calculator outputs the flowrate through a venturi constriction for a given pressure drop. </td> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="formulae/fluids/calc_pipe_friction.cfm"><b>Pipe Friction</b></a></span><br> Frustrated by using the <b>Moody Chart</b> to calculate pressure loss in pipes? This calculator does it for you and tells you the Reynolds number, pressure drop, and flow rate for a constant cross-section pipe. </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="formulae/heat_transfer/radiation/calc_2bodies_enclosure.cfm"><b>Radiation</b></a></span><br> Ever wonder how much heat per second is radiated from your (bald) head to the dark night sky if you are standing in an open field? You can use this calculator to figure that out! <span class="footnotetext">(<i>Hint: It's about 10 watts if you are really bald!</i>)</span> </td> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="formulae/heat_transfer/convection_forced/calc_lamflow_isothermalplate.cfm"><b>Laminar Flow Over Plate</b></a></span><br> Heat convection by forced laminar flow over an isothermal plate. </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><b>Stress Transforms</b></span><br> Remember <b>Mohr's Circle</b>? We provide calculators that execute the math behind Mohr's Circle for the cases of <a href="formulae/solid_mechanics/mat_mechanics/calc_stress_transform.cfm"><b>Plane Stress</b></a> and <a href="formulae/solid_mechanics/mat_mechanics/calc_strain_transform.cfm"><b>Plane Strain</b></a>. </td> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><b>Principal Stress</b></span><br> Need to find the principal stresses and their directions for a given input stress state? These calculators do the math for you for the case of <b><a href="formulae/solid_mechanics/mat_mechanics/calc_principal_stress.cfm">Plane Stress</a></b> and <b><a href="formulae/solid_mechanics/mat_mechanics/calc_principal_strain.cfm">Plane Strain</a></b>. </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="formulae/solid_mechanics/mat_mechanics/calc_elastic_constants.cfm"><b>Elastic Constants</b></a></span><br> OK, we all remember that an isotropic material requires only 2 elastic constants to describe its material behavior. But which 2 constants to use?<br><a href="formulae/solid_mechanics/mat_mechanics/elastic_constants_E_nu.cfm#youngsmod"><b>Youngs modulus</b></a>, <b><a href="formulae/solid_mechanics/mat_mechanics/elastic_constants_E_nu.cfm#poisson">Poisson ratio</a></b>, <b><a href="formulae/solid_mechanics/mat_mechanics/elastic_constants_G_K.cfm#shearmod">shear modulus</a></b>, or <b><a href="formulae/solid_mechanics/mat_mechanics/elastic_constants_G_K.cfm#bulkmod">bulk modulus</a></b>? Don't sweat it anymore - this calculator allows you to convert from any 2 constants to all others in common use. </td> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><b>Failure Criteria</b></span><br> Remember how to apply von Mises and the Maximum Shear criteria to evaluate failure risk? How about Maximum Stress or Mohr's Theory? We encourage you to <a href="formulae/solid_mechanics/failure_criteria/failure_criteria.cfm">freshen up</a> on the basics, but short of that here are 2 calculators for applying failure criteria to <b><a href="formulae/solid_mechanics/failure_criteria/calc_failure_criteria_brittle.cfm">brittle</a></b> and <b><a href="formulae/solid_mechanics/failure_criteria/calc_failure_criteria_ductile.cfm">ductile</a></b> materials. </td> <td class="smalltext" width="50%" valign="top"> <a href="formulae/solid_mechanics/plates/casestudy_list.cfm" class="title"><b>Plate Calculators</b></a><br> Featuring <font color="red"><b>11</b></font> calculators that output the maximum displacement and stress for common plates with different boundary conditions under various loadings. </td> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="formulae/solid_mechanics/stress_concentration/stresscon_intro.cfm"><b>Stress Concentration</b></a></span><br> <b>11</b> calculators are provided to calculate the stress concentration factor <i><b>K</b></i> for common features such as notches, holes, grooves, and shoulders. </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><b>Column Buckling</b></span><br> <a href="formulae/solid_mechanics/columns/calc_column_critical_load.cfm">Critical Load Calculator</a> computes the critical load, the boundary condition factor, and the effective length of a column; <a href="formulae/solid_mechanics/columns/calc_column_structural_steel.cfm">Structural Steel Column Calculator</a> is designed specifically for structural steel columns to compute the allowable stress with respect to a given safety factor. </td> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><b>Composite Materials</b></span><br> <b>3</b> calculators are provided to help determine the mechanical properties of the composite lamination with multiple layers. First, the equivalent material constants of a single layer along the principal directions are <a href="formulae/solid_mechanics/composites/calc_ufrp_EGNu.cfm">estimated</a>. Then, the stiffness and compliance matrices of such a layer are <a href="formulae/solid_mechanics/composites/calc_ufrp_cs_arbitrary.cfm">constructed</a>. Finally, the laminae are 'glued' together and the stiffness matrices A, B, and D of the laminate are <a href="formulae/solid_mechanics/composites/calc_ufrp_abd_layout.cfm">built</a>. </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="materials/water/steamtable_sat.cfm"><b>Saturated Steam Table</b></a></span><br> Temperature and pressure of saturated steam are closely related. When one of them is given, the other is determined. This calculator calculates the density, specific volume, internal energy, enthalpy, and entropy of saturated steam based on tabulated data using interpolation. </td> </tr> </table> <table width="100%" border="0" cellspacing="0" cellpadding="0"> <tr><td height="20"></td></tr> <tr><td class="title"><font color="#cc6600"><b>Mathematics</b></font></td></tr> <tr><td height="4"><img src="images/section_bar_1.png"></td></tr> </table> <p> <table width="100%" border="0" cellspacing="3" cellpadding="5"> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="units/base_n.cfm"><b>Base-<i>N</i> Conversions</b></a></span><br> Converts integers expressed in one base to all other bases, up to base 36. </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><a href="math/gamma/findgamma.cfm"><b>Gamma Function</b></a></span><br> This calculator evaluates the Gamma Function for a given argument. We don't know how useful this is, but then again, it is cool! </td> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><b>Gaussian Quadratures</b></span><br>  <a href="math/num_integration/findgausslegendre.cfm"><b>Gauss-Legendre</b></a>     <a href="math/num_integration/findgausshermite.cfm"><b>Gauss-Hermite</b></a><br>  <a href="math/num_integration/findgausslaguerre.cfm"><b>Gauss-Laguerre</b></a><br> These calculators output the abscissas and weights used in Gaussian quadrature (a numerical integration technique). </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><b>Arithmetic</b></span> <span class="footnotetext">(Mathematica Powered)</span><br> <a href="webM/arithmetic/evaluate.cfm">Evaluation</a><br> <a href="webM/arithmetic/expand.cfm">Polynomial Expansion</a><br> <a href="webM/arithmetic/apart.cfm">Partial Fraction</a><br> <a href="webM/arithmetic/sum.cfm">Sum</a><br> <a href="webM/arithmetic/product.cfm">Product</a><br> <a href="webM/arithmetic/root1s.cfm">Root Finding</a><br> <a href="webM/matrix/solve.cfm">Multiple Equations</a> </td> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><b>Calculus</b></span> <span class="footnotetext">(Mathematica Powered)</span><br> <a href="webM/calculus/derivative1.cfm">Derivative</a><br> <a href="webM/calculus/integral1_def.cfm">Definite Integral</a><br> <a href="webM/calculus/integral1_indef.cfm">Indefinite Integral</a><br> <a href="webM/calculus/limit.cfm">Limit</a> </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><b>Series</b></span> <span class="footnotetext">(Mathematica Powered)</span><br> <a href="webM/arithmetic/series.cfm">Series Expansion</a><br> <a href="webM/arithmetic/sum.cfm">Sum</a><br> <a href="webM/arithmetic/product.cfm">Product</a> </td> </tr> </tr> <tr bgcolor="#eeeee0"> <td class="smalltext" width="50%" valign="top"> <span class="title"><b>Functions</b></span> <span class="footnotetext">(Mathematica Powered)</span><br> <a href="webM/arithmetic/evaluate.cfm">Evaluation</a><br> <a href="webM/elemfunc/exp2trig.cfm">Exponential to Trigonometric</a><br> <a href="webM/elemfunc/trig2exp.cfm">Trigonometric to Exponential</a><br> <a href="webM/elemfunc/expandtrig.cfm">Expand Trigonometric</a><br> <a href="webM/elemfunc/reducetrig.cfm">Reduce Trigonometric</a><br> <a href="webM/specialfunc/expandfunc.cfm">Expand Special Functions</a><br> <a href="webM/specialfunc/expandcomplex.cfm">Expand Complex Functions</a> </td> <td class="smalltext" width="50%" valign="top"> <span class="title"><b>Matrix / Linear Algebra</b></span> <span class="footnotetext">(Mathematica Powered)</span><br> <a href="webM/arithmetic/series.cfm">Series Expansion</a><br> <a href="webM/arithmetic/sum.cfm">Sum</a><br> <a href="webM/arithmetic/product.cfm">Product</a> </td> </tr> </table> </div> <div class="SectionTitle" style="margin-top:40px;"><a class="title1" href="https://efunda.tradepub.com"><b>FREE Publications</b></a></div> <div><img src="/images/section_bar_1.png"></div> <div style="padding:10px 0; 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