Load Calculator

Structural Beam Load Calculator

Calculate Total Load, Shear Force, and Bending Moment

Calculation Results

Total Uniform Load (w):

kN/m

Factored Total Load:

kN/m

Max Shear Force (V max):

kN

Max Bending Moment (M max):

kNm

Understanding Structural Load Calculations

In structural engineering, a load calculator is essential for determining the forces acting on a support member like a beam or lintel. Accurately calculating these forces ensures that the materials chosen can withstand the pressure without failing or excessive deflection.

Dead Load vs. Live Load

Before using the load calculator, it is vital to distinguish between the types of weights being applied:

  • Dead Load (Static): This includes the weight of the structure itself, such as the beam, flooring, walls, and roof materials. These remain constant over the life of the building.
  • Live Load (Dynamic): These are temporary loads that change over time, such as people, furniture, equipment, and environmental factors like snow or wind.

The Physics Behind the Calculator

This calculator uses standard formulas for a Simply Supported Beam under a Uniformly Distributed Load (UDL):

  1. Total Load (w): The sum of Dead Load and Live Load per meter.
  2. Max Shear Force (V): Calculated as (w * L) / 2. This represents the force trying to "cut" through the beam at the supports.
  3. Max Bending Moment (M): Calculated as (w * L²) / 8. This represents the maximum rotational force, which typically occurs at the center of the span.

Example Calculation

If you have a beam with a 4-meter span, a Dead Load of 2 kN/m, and a Live Load of 3 kN/m:

  • Total Load = 2 + 3 = 5 kN/m.
  • Max Shear = (5 * 4) / 2 = 10 kN.
  • Max Bending Moment = (5 * 4²) / 8 = (5 * 16) / 8 = 10 kNm.

Always consult with a licensed structural engineer for actual construction projects to account for specific material properties and local building codes.

function calculateStructuralLoad() { var L = parseFloat(document.getElementById("beamSpan").value); var D = parseFloat(document.getElementById("deadLoad").value); var Li = parseFloat(document.getElementById("liveLoad").value); var SF = parseFloat(document.getElementById("safetyFactor").value); if (isNaN(L) || isNaN(D) || isNaN(Li) || L <= 0) { alert("Please enter valid positive numbers for Span, Dead Load, and Live Load."); return; } if (isNaN(SF) || SF < 1) { SF = 1; } // Calculations var totalW = D + Li; var factoredW = totalW * SF; // Max Shear Force (V = wL/2) var maxShear = (factoredW * L) / 2; // Max Bending Moment (M = wL^2 / 8) var maxMoment = (factoredW * Math.pow(L, 2)) / 8; // Display Results document.getElementById("resTotalLoad").innerHTML = totalW.toFixed(2); document.getElementById("resFactoredLoad").innerHTML = factoredW.toFixed(2); document.getElementById("resMaxShear").innerHTML = maxShear.toFixed(2); document.getElementById("resMaxMoment").innerHTML = maxMoment.toFixed(2); document.getElementById("resultsArea").style.display = "block"; }

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