✖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.ⓘ Settlement Observed in the Plate Load Test [S_plate]			+10% -10%
✖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.ⓘ Width of the Rectangular Spreader Mat [B_mat]			+10% -10%
✖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.ⓘ Length of the Rectangular Spreader Mat [L_mat]			+10% -10%
✖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.ⓘ Diameter of the Circular Plate [D_plate]			+10% -10%

✖Settlement of the Spreader Mat refers to the vertical displacement or subsidence of the mat under applied loads.ⓘ Settlement of Rectangular Spreader Mat [S_mat]

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Formula

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Settlement of Rectangular Spreader Mat

Formula

`"S"_{"mat"} = "S"_{"plate"}*("B"_{"mat"}*"L"_{"mat"}/("D"_{"plate"})^2)^0.5`

Example

`"0.040825m"="0.01m"*("2.0m"*"3m"/("0.6m")^2)^0.5`

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Settlement of Rectangular Spreader Mat Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
S_mat = S_plate*(B_mat*L_mat/(D_plate)^2)^0.5
This formula uses 5 Variables

Variables Used

Settlement of the Spreader Mat - (Measured in Meter) - Settlement of the Spreader Mat refers to the vertical displacement or subsidence of the mat under applied loads.
Settlement Observed in the Plate Load Test - (Measured in Meter) - 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.
Width of the Rectangular Spreader Mat - (Measured in Meter) - 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.
Length of the Rectangular Spreader Mat - (Measured in Meter) - 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.
Diameter of the Circular Plate - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Settlement Observed in the Plate Load Test: 0.01 Meter --> 0.01 Meter No Conversion Required
Width of the Rectangular Spreader Mat: 2 Meter --> 2 Meter No Conversion Required
Length of the Rectangular Spreader Mat: 3 Meter --> 3 Meter No Conversion Required
Diameter of the Circular Plate: 0.6 Meter --> 0.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_mat = S_plate*(B_mat*L_mat/(D_plate)^2)^0.5 --> 0.01*(2*3/(0.6)^2)^0.5

Evaluating ... ...

S_mat = 0.0408248290463863

STEP 3: Convert Result to Output's Unit

0.0408248290463863 Meter --> No Conversion Required

FINAL ANSWER

0.0408248290463863 ≈ 0.040825 Meter <-- Settlement of the Spreader Mat

(Calculation completed in 00.004 seconds)

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Created by Ankush shivhare

Motilal Nehru National Institute of Technology Allahabad (MNNIT), Prayagraj UP

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< 5 Shear Stress Component Calculators

Shear Stress Component given Unit Weight of Soil

Go Ultimate Shear Stress in Soil Mechanics = (Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180))

Settlement of Rectangular Spreader Mat

Go 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

Shear Stress Component given Vertical Stress

Go Ultimate Shear Stress in Soil Mechanics = Vertical Stress at a Point in Kilopascal*sin((Angle of Inclination to Horizontal in Soil*pi)/180)

Angle of Inclination given Shear Stress Component

Go Angle of Inclination to Horizontal in Soil = asin(Ultimate Shear Stress/Vertical Stress at a Point)

Shear Strength of Soil given Factor of Safety

Go Shear Strength in KN per Cubic Meter = Ultimate Shear Stress in Soil Mechanics*Factor of Safety

Settlement of Rectangular Spreader Mat Formula

What is Plate Load Test?

Plate Load Test is an in-situ testing method used to determine the bearing capacity and settlement characteristics of the ground. This test involves applying a gradually increasing load to a rigid steel plate placed on the ground surface and measuring the corresponding settlement.

How to Calculate Settlement of Rectangular Spreader Mat?

Settlement of Rectangular Spreader Mat calculator 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 calculate 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 calculate Settlement of Rectangular Spreader Mat using this online calculator? To use this online calculator 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. Here is how the Settlement of Rectangular Spreader Mat calculation can be explained with given input values -> 0.040825 = 0.01*(2*3/(0.6)^2)^0.5.

FAQ

What is Settlement of Rectangular 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 and is represented as S_mat = S_plate*(B_mat*L_mat/(D_plate)^2)^0.5 or 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. 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, 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, 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 & 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.

How to calculate Settlement of Rectangular 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 is calculated using 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 calculate Settlement of Rectangular Spreader Mat, you need 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). With our tool, you need to enter the respective value for Settlement Observed in the Plate Load Test, Width of the Rectangular Spreader Mat, Length of the Rectangular Spreader Mat & Diameter of the Circular Plate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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