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.
Beam deflection explorer
Explore how span, elastic modulus and section inertia influence linear-elastic deflection. Use the displayed standard support/load case before comparing structural behaviour.
Open tool →FREE TOOLRectangular section stress calculator
Combine signed axial stress with uniaxial bending stress at the extreme fibres. Keep elastic stress calculation separate from allowable stress and stability checks.
Open tool →FREE TOOLBuilding envelope U value calculator
Compare the series resistance of wall layers in a building-environment problem. Supply actual conductivity data rather than assuming all materials share a generic value.
Open tool →FREE TOOLSun and shadow geometry calculator
Connect a supplied solar altitude to the shadow of a vertical object on a horizontal plane. This is a geometry exercise, not a site solar-position model.
Open tool →FREE TOOLOpening to floor area calculator
Calculate geometric opening ratios room by room. Keep the result separate from effective daylight factors and any jurisdiction-specific statutory coefficients.
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 Kenchikushi 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.