| Stress in Beam |
Determines the internal forces within a beam |
stress = moment*distanceFromNeutralAxis/secondMomentOfArea |
NewtonPerSquareMeter |
| Shear Force in Beam |
Measures the force that causes parts of a material to slide past each other in opposite directions |
shearForce = ∫(dMoment/dx) dx |
Newton |
| Bending Moment in Beam |
Calculates the reaction induced in a structural element when an external force is applied, causing the element to bend |
bendingMoment = ∫(shearForce dx) |
NewtonMeter |
| Deflection of Beam |
Calculates the displacement of a point on the beam under load |
deflection = load*length^3 / (48*modulusOfElasticity*secondMomentOfArea) |
Meter |
| Load-Bearing Capacity |
Determines the maximum weight the structure can hold |
loadBearingCapacity = allowableStress * area |
Newton |
| Thermal Conductivity |
Measures the rate at which heat passes through a material |
heatTransfer = thermalConductivity * area * temperatureDifference / thickness |
WattPerMeterKelvin |
| R-Value |
Indicates the resistance of a material to heat flow |
rValue = thickness / thermalConductivity |
SquareMeterKelvinPerWatt |
| Heat Loss |
Calculates the total heat loss through a structure |
heatLoss = area * uValue * temperatureDifference |
Watt |
| Concrete Mix Design |
Determines the proportions of materials in concrete |
concreteMix = (cement : sand : aggregate : water) |
Ratio |
| Roof Slope |
Determines the pitch of the roof |
roofSlope = rise / run |
Ratio |
| Brick Calculation |
Estimates the number of bricks needed for a wall |
numberOfBricks = wallArea / brickArea |
Integer |