Useful answers.
Understand the working.
Calculators and worksheets for the subjects you study and the problems you meet in practice. Work through an example, try your own values, then test the same ideas in exam practice.
Pipe flow and pressure loss calculator
Build the FE fluid-mechanics calculation chain from pipe area to velocity, Reynolds number and energy loss. Recognise when the flow regime prevents a single confident friction-factor result.
Open tool →FREE TOOLSimply supported beam calculator
Check equilibrium, internal forces and elastic deflection for two standard exam load cases. Read the reaction and bending results before interpreting the displacement curve.
Open tool →FREE TOOLSection property calculator
Distinguish cross-sectional area from the second moment of area. See why changing the depth of a rectangular section affects bending stiffness much more than changing its width.
Open tool →FREE TOOLThermal expansion calculator
Track the sign of free thermal movement in a mechanics or heat-transfer problem. Keep movement calculations separate from restraint stress and expansion-joint design.
Open tool →FREE TOOLIdeal gas calculator
Rearrange the ideal-gas equation while keeping pressure absolute and converting temperature to kelvin. Select the missing variable explicitly so extra example inputs cannot overdetermine the problem.
Open tool →Tools that connect the calculation to the concept
Each tool shows its method, units and assumptions, together with two worked examples. Example values are for learning; replace them with your own measurements or documented inputs. The related study links take you to the matching certification topic on Engin Exam.
Worksheets run in your browser. We do not send entered measurements or report text to a calculation service. Where export is available, you choose when to save the file locally.
Check the boundary of the answer
A useful result starts with the right inputs and an appropriate method. These tools explain what is calculated and what the method leaves out. User-supplied criteria remain identified as supplied criteria; a calculation does not automatically approve equipment, certify an inspection or establish regulatory compliance.