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Settlement of Rectangular Spreader Mat Formula

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Settlement of the Spreader Mat refers to the vertical displacement or subsidence of the mat under applied loads. Check FAQs

S mat = S plate \cdot {(B mat \cdot \frac{L mat}{{(D plate)}^{2}})}^{0.5}

S_mat - Settlement of the Spreader Mat?S_plate - Settlement Observed in the Plate Load Test?B_mat - Width of the Rectangular Spreader Mat?L_mat - Length of the Rectangular Spreader Mat?D_plate - Diameter of the Circular Plate?

Settlement of Rectangular Spreader Mat Example

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Here is how the Settlement of Rectangular Spreader Mat equation looks like with Values.

Here is how the Settlement of Rectangular Spreader Mat equation looks like with Units.

Here is how the Settlement of Rectangular Spreader Mat equation looks like.

0.0408 = 0.01 \cdot {(2 \cdot \frac{3}{{(0.6)}^{2}})}^{0.5}

0.0408m = 0.01m \cdot {(2m \cdot \frac{3m}{{(0.6m)}^{2}})}^{0.5}

0.0408 = 0.01 \cdot {(2 \cdot \frac{3}{{(0.6)}^{2}})}^{0.5}

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Settlement of Rectangular Spreader Mat Solution

Follow our step by step solution on how to calculate Settlement of Rectangular Spreader Mat?

FIRST Step Consider the formula

S mat = S plate \cdot {(B mat \cdot \frac{L mat}{{(D plate)}^{2}})}^{0.5}

Next Step Substitute values of Variables

∴

S mat = 0.01m \cdot {(2m \cdot \frac{3m}{{(0.6m)}^{2}})}^{0.5}

Next Step Prepare to Evaluate

∴

S mat = 0.01 \cdot {(2 \cdot \frac{3}{{(0.6)}^{2}})}^{0.5}

Next Step Evaluate

∴

S mat = 0.0408248290463863m

LAST Step Rounding Answer

∴

S mat = 0.0408m

Settlement of Rectangular Spreader Mat Formula Elements

Variables

Settlement of the Spreader Mat

Settlement of the Spreader Mat refers to the vertical displacement or subsidence of the mat under applied loads.

Symbol: S_mat

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Settlement of the Spreader Mat

Settlement Observed in the Plate Load Test

Settlement Observed in the Plate Load Test is the vertical displacement of the ground surface caused by a load applied to a rigid plate placed on the soil.

Symbol: S_plate

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Settlement Observed in the Plate Load Test

Width of the Rectangular Spreader Mat

Width of the Rectangular Spreader Mat is the shorter dimension of the rectangular area that distributes loads over a larger surface area of the ground.

Symbol: B_mat

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of the Rectangular Spreader Mat

Length of the Rectangular Spreader Mat

Length of the Rectangular Spreader Mat is one of the two primary dimensions of a rectangular area used to distribute loads over a soil surface.

Symbol: L_mat

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of the Rectangular Spreader Mat

Diameter of the Circular Plate

Diameter of the Circular Plate is the width of a circular plate used in a plate load test, which is a common field test performed to evaluate the bearing capacity and settlement of soil.

Symbol: D_plate

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of the Circular Plate

Other formulas in Shear Stress Component category

Go Shear Stress Component given Vertical Stress

ζ = σ zkp \cdot \sin (\frac{i \cdot π}{180})

Go Angle of Inclination given Shear Stress Component

i = a \sin (\frac{τ u}{σ z})

Go Shear Stress Component given Unit Weight of Soil

ζ = (γ \cdot z \cdot \cos (\frac{i \cdot π}{180}) \cdot \sin (\frac{i \cdot π}{180}))

Go Shear Strength of Soil given Factor of Safety

τ f = ζ \cdot f s

How to Evaluate Settlement of Rectangular Spreader Mat?

Settlement of Rectangular Spreader Mat evaluator uses Settlement of the Spreader Mat = Settlement Observed in the Plate Load Test*(Width of the Rectangular Spreader Mat*Length of the Rectangular Spreader Mat/(Diameter of the Circular Plate)^2)^0.5 to evaluate the Settlement of the Spreader Mat, The Settlement of Rectangular Spreader Mat formula is defined as the vertical displacement or subsidence of the mat under the applied load. The spreader mat distributes the load from structures such as mobile crane outriggers over a larger area of the ground to prevent excessive localized stress and potential failure of the underlying soil. Settlement of the Spreader Mat is denoted by S_mat symbol.

How to evaluate Settlement of Rectangular Spreader Mat using this online evaluator? To use this online evaluator for Settlement of Rectangular Spreader Mat, enter Settlement Observed in the Plate Load Test (S_plate), Width of the Rectangular Spreader Mat (B_mat), Length of the Rectangular Spreader Mat (L_mat) & Diameter of the Circular Plate (D_plate) and hit the calculate button.

FAQs on Settlement of Rectangular Spreader Mat

What is the formula to find Settlement of Rectangular Spreader Mat?

The formula of Settlement of Rectangular Spreader Mat is expressed as Settlement of the Spreader Mat = Settlement Observed in the Plate Load Test*(Width of the Rectangular Spreader Mat*Length of the Rectangular Spreader Mat/(Diameter of the Circular Plate)^2)^0.5. Here is an example- 0.040825 = 0.01*(2*3/(0.6)^2)^0.5.

How to calculate Settlement of Rectangular Spreader Mat?

With Settlement Observed in the Plate Load Test (S_plate), Width of the Rectangular Spreader Mat (B_mat), Length of the Rectangular Spreader Mat (L_mat) & Diameter of the Circular Plate (D_plate) we can find Settlement of Rectangular Spreader Mat using the formula - Settlement of the Spreader Mat = Settlement Observed in the Plate Load Test*(Width of the Rectangular Spreader Mat*Length of the Rectangular Spreader Mat/(Diameter of the Circular Plate)^2)^0.5.

Can the Settlement of Rectangular Spreader Mat be negative?

No, the Settlement of Rectangular Spreader Mat, measured in Length cannot be negative.

Which unit is used to measure Settlement of Rectangular Spreader Mat?

Settlement of Rectangular Spreader Mat is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Settlement of Rectangular Spreader Mat can be measured.

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Settlement of Rectangular Spreader Mat Formula

Settlement of Rectangular Spreader Mat Example

Settlement of Rectangular Spreader Mat Solution

Settlement of Rectangular Spreader Mat Formula Elements

Other formulas in Shear Stress Component category

How to Evaluate Settlement of Rectangular Spreader Mat?

FAQs on Settlement of Rectangular Spreader Mat

Variable Name