## 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
Smat = Splate*(Bmat*Lmat/(Dplate)^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
Smat = Splate*(Bmat*Lmat/(Dplate)^2)^0.5 --> 0.01*(2*3/(0.6)^2)^0.5
Evaluating ... ...
Smat = 0.0408248290463863
STEP 3: Convert Result to Output's Unit
0.0408248290463863 Meter --> No Conversion Required
0.0408248290463863 0.040825 Meter <-- Settlement of the Spreader Mat
(Calculation completed in 00.004 seconds)
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## Credits

Created by Ankush shivhare
Motilal Nehru National Institute of Technology Allahabad (MNNIT), Prayagraj UP
Ankush shivhare has created this Calculator and 4 more calculators!
Verified by Md Anisur Rahman
Indian Institute of Technology Patna (IIT Patna), Patna, Bihar
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## < 5 Shear Stress Component Calculators

Shear Stress Component given Unit Weight of Soil
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 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
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
Angle of Inclination to Horizontal in Soil = asin(Ultimate Shear Stress/Vertical Stress at a Point)
Shear Strength of Soil given Factor of Safety
Shear Strength in KN per Cubic Meter = Ultimate Shear Stress in Soil Mechanics*Factor of Safety

## Settlement of Rectangular Spreader Mat 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
Smat = Splate*(Bmat*Lmat/(Dplate)^2)^0.5

## 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?

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 (Splate), Width of the Rectangular Spreader Mat (Bmat), Length of the Rectangular Spreader Mat (Lmat) & Diameter of the Circular Plate (Dplate) 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.

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