Mortgae Calculator

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Static Load (Mort-Gage) Calculator

Calculation Results:

Total Static Mass: 0

Gravitational Force: 0

Base Pressure: 0

function calculateStaticLoad() { var area = parseFloat(document.getElementById('base_area').value); var thickness = parseFloat(document.getElementById('vertical_height').value); var density = parseFloat(document.getElementById('mass_density').value); var resultBox = document.getElementById('mortgage-result-box'); if (isNaN(area) || isNaN(thickness) || isNaN(density) || area <= 0 || thickness <= 0 || density <= 0) { alert("Please enter valid positive numerical values for all physical properties."); return; } // Physics logic: Mass = Volume * Density // Volume = Area * (Thickness in meters) var thicknessMeters = thickness / 1000; var totalMass = area * thicknessMeters * density; // Force = Mass * Gravity (9.81 m/s^2) var forceNewtons = totalMass * 9.80665; // Pressure = Force / Area var pressurePascals = forceNewtons / area; var pressureKpa = pressurePascals / 1000; document.getElementById('res_mass').innerHTML = totalMass.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}) + " kg"; document.getElementById('res_force').innerHTML = forceNewtons.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}) + " N"; document.getElementById('res_pressure').innerHTML = pressureKpa.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}) + " kPa"; resultBox.style.display = 'block'; }

Understanding the Mortgage (Static Load) in Structural Engineering

In the realm of physics and structural engineering, the term "mortgage" derives from the Old French mort gaige, literally meaning a "dead pledge." While modern usage associates this with loans, in structural mechanics, a "dead load" or "static load" represents the permanent, unchanging weight of a structure's components. Calculating this is critical for ensuring the integrity of foundations and load-bearing elements.

How the Static Load Calculation Works

The calculation of a static load depends on the volume of the material and its intrinsic density. Unlike live loads (occupants, furniture, wind), the static load remains constant throughout the lifespan of the structure. The formula used in this calculator is based on the following physical principles:

  • Volume Calculation: We multiply the base area by the vertical thickness (converted to meters) to find the total cubic space occupied by the material.
  • Mass Determination: Volume is multiplied by the material mass density (kg/m³) to find the total weight in kilograms.
  • Force Application: Using Earth's standard gravity (9.80665 m/s²), we determine the downward force in Newtons.
  • Pressure Distribution: The total force is divided by the base area to determine the pressure exerted on the ground or supporting surface, measured in kilo-Pascals (kPa).

Realistic Engineering Example

Consider a reinforced concrete slab designed for a modern architectural project. If the slab has a Base Area of 100 m² and a Thickness of 150 mm (0.15 meters), we must account for the density of reinforced concrete, which is typically 2,400 kg/m³.

Calculation Steps:
1. Volume = 100 m² × 0.15 m = 15 m³
2. Mass = 15 m³ × 2,400 kg/m³ = 36,000 kg
3. Force = 36,000 kg × 9.81 = 353,160 N
4. Pressure = 353.16 kN / 100 m² = 3.53 kPa

Common Material Densities

When using the Static Load (Mort-Gage) calculator, it is essential to use the correct density for your specific material. Below are standard reference values:

Material Density (kg/m³)
Steel 7,850
Standard Concrete 2,400
Brick Masonry 1,900
Oak Wood 750

By accurately calculating the static load, engineers can prevent structural fatigue and ensure that the "dead weight" of the material does not exceed the bearing capacity of the soil or the underlying framework.

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