Freight & Shipping formula solvers

Categories — 68 of them, 1611 solvers in all

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C D F L P S W

Chargeable Weight

W_c = \max\!\left(W_a,\; W_{\mathrm{dim}}\right)

Freight & ShippingThe weight the invoice is built on: whichever is larger, the scale weight or the dimensional weight. One line of arithmetic, and the reason light bulky freight costs what it does.

Cube Utilisation

U_v = \frac{V_c}{V_a}

Freight & ShippingThe share of the available space a load actually occupies. The volume half of the pair of numbers every load planner watches, and the one that quietly reveals how much air is being shipped.

Cube-Out Crossover Density

\rho_x = \frac{W_{\max}}{V_u}

Freight & ShippingThe density at which a piece of equipment runs out of space and runs out of payload at the same moment. Freight lighter than this cubes out; freight heavier weighs out. It is the same quantity a dimensional-weight divisor describes, arrived at from the equipment rather than from the tariff.

DIM Divisor as a Density

\rho_{\mathrm{dim}} = \frac{m_b}{d \, V_b}

Freight & ShippingA dimensional-weight divisor is a specific volume in disguise — so many cubic inches per pound, or cubic centimetres per kilogram. Turn it over and it becomes a density you can compare with your own freight. Declare the basis and this page does the turning.

Dimensional Weight

W_{\mathrm{dim}} = V \, \rho_{\mathrm{dim}}

Freight & ShippingThe weight a carrier assigns to a package because of the space it occupies rather than the mass it has. Written the honest way — as a volume multiplied by a density the carrier has chosen — instead of as a volume divided by a mystery number.

Freight Cost per Unit

c_u = \frac{R \, W_c}{n}

Freight & ShippingWhat the freight adds to one unit of product: a rate per hundredweight, applied to the chargeable weight, spread over the pieces on the bill. The last step that turns a shipping decision into a number the business recognises.

Length Plus Girth

S = L + 2\,(W + H)

Freight & ShippingGirth is the distance a tape travels around the short way — twice the width plus twice the height. Added to the longest side it gives the single number carriers use as a size limit, and it is why a long thin parcel and a fat short one can be charged alike.

Pieces per Load

n = \min\!\left(\frac{V_a}{v_p},\; \frac{W_{\max}}{w_p}\right)

Freight & ShippingHow many identical pieces fit before one of the two limits stops you. The smaller of the cube answer and the weight answer, because a load has to satisfy both and satisfying one is no help.

Shipment Density

\rho = \frac{m}{V}

Freight & ShippingMass divided by the space it takes up — the ordinary definition of density, applied to a skid or a shipment and measured in pounds per cubic foot, because that is the number LTL freight classification is built on.

Weight Utilisation

U_w = \frac{W}{W_{\max}}

Freight & ShippingThe share of the payload limit a load actually uses. Paired with cube utilisation it settles the only question that matters when a trailer leaves half empty: was it space or weight that stopped you?