the Modulus of Subgrade Reaction for different types of rock The information is needed for a soldier pile application drilled into rock for a retaining wall I need typical values for Ks modulus of subgrade for different types and qualities of rock There is a book titled Design of Plates on Elastic Foundation by
Get PriceKsat1 is the bulk modulus of a porous rock saturated with fluid 1 bulk modulus Kf1 Ksat2 is the rock bulk modulus saturated with fluid 2 bulk modulus Kf2 Km is the mineral bulk modulus Ksk is the dry frame bulk modulus and ϕ is the porosity The relation provides the necessary recipe for fluid substitution
Get PriceThe Young s Modulus is the ability of any material to resist the change along its length whereas the Bulk Modulus is the ability of any material to resist the change in its volume The bulk modulus and young s modulus relation can be mathematically expressed as Young s Modulus And Bulk Modulus Relation K= [frac {Y}{3}] 1− 2/μ
Get PriceField tests may be used for finding the shear wave velocity vs and calculating the maximum shear modulus from the relationship where p is the mass density of the soil Typical values of vs and p are given in Tables and respectively Stress Stress Lower strain Lower damping Higher modulus Strain Stress Strain Strain
Get PriceK = Bulk Modulus μ = Shear Modulus v = Poisson s ratio λ = Lame s parameter Computing mechanical rock properties The data needed to compute mechanical rock properties are Compressional and shear velocities slowness Density Shear and compressional velocities are a function of Bulk modulus Shear modulus Density of the formation being measured
Get PriceWhere k is bulk modulus µ shear modulus and ρ density of a rock Although the actual rocks are not isotropic and homogeneous elastic equivalency exists between the two to a great extent in Layered media when the velocities are approximated as Interval Average and RMS Velocity ratio Vp/Vs and Acoustic Impedance AI can be expressed as
Get PriceB = width of footing ks = the value of subgrade reaction for × 1 ft wide bearing plate ksf = value of modulus of subgrade reaction for the full size foundation E s = modulus of elasticity μ = Poisson s ratio EI = flexural rigidity of footing m = takes 1 2 and 4 for edges sides and center of footing respectively
Get PriceJan 01 2024· Among elastic rock properties one may mention Youngâ s modulus shear modulus bulk modulus and Poissonâ s ratio As the shear modulus and bulk modulus are functions of Youngâ s modulus and Poisson ratio the last two parameters are the most Corresponding author Tel 48 604 055 842 fax 48 12 617 20 59
Get PriceA large Bulk Modulus indicates a relative incompressible fluid Bulk Modulus for some common fluids 1 GPa = 109 Pa N/m2 Stainless steel with Bulk Modulus 163 109 Pa is aprox 80 times harder to compress than water with Bulk Modulus 109 Pa Example Density of Seawater in the Mariana Trench
Get PriceThe Young s modulus E of the soil should be determined by appropriate laboratory or field tests In the absence of such test data Table may be used as a rough guide TABLE TYPICAL YOUNG S MODULI FOR SOILS Material Young s Modulus E MPa Rock 2 000 20 000 Weathered rock 200 5 000 Dense sand and gravel 50 1 000
Get Priceand compared with typical experimental values = 35 mJ m 2 From this a typical value is obtained for C of order 60 x 10 79j m s corresponding to a Hamaker constant x 10 20 j This value may be used to calculate the bulk modulus assuming a regular arrangement of interacting groups The result agrees
Get PriceThe ARFRC method has been widely applied in China since 2024 Initially the applied geological conditions of the method were limited to be simple 6 its popularity increases the applied geological conditions have been constantly extended such as thick coal seam 8 large buried depth 9 and large dip angle conditions this process many studies have been conducted on overburden
Get PriceA high factor of safety of 2 to 3 is given for high E values corresponding 10 to 80 mm penetration and a factor of safety of only to 2 for low E values corresponding to 80 to 300 mm penetration shown in Table 1 Strength and Modulus of Rocks The values of strength of rocks given in Table 2 can be assumed for rough calculations
Get PriceThe effect of Poisson s ratio is one of the parameters used for the calculation of modulus value in an in situ test Sharma and Singh 1989 found that it is not much variation in the values of the deformation modulus if the value of the Poisson s ratio is between and
Get PriceTypical values of soil Young s modulus are given below as guideline Typical values of Young s modulus for granular material MPa based on Obrzud Truty 2024 complied from Kezdi 1974 and Prat et al 1995 Typical values of Young s modulus for cohessive material MPa based on Obrzud Truty 2024 compiled from Kezdi 1974 and Prat et al 1995
Get PriceSlope of the line tangent at 50% of the unconfined compressive strength = E t50 34 Fluid and rock bulk viscosity and modulus Mines 2024 8 31 · Fluid and rock bulk viscosity and modulus In a typical experiment a jack eted sample instrumented with strain gages Figure 3 b is mounted to the pressure vessel head and placed inside
Get PriceThe Modulus of Subgrade Reaction is a measure of a soils stiffness It is an indicator of a soils resultant unit displacement under a given pressure The units of Modulus of Subgrade Reaction are often expressed as kPa/mm MPa/mm or pci kilopascal per millimetre megapascal per millimetre and pound per cubic inch respectively
Get PriceBulk Modulus K = p1 p0 / [ V1 V0 / V0] Here p 0 and V 0 are the initial pressure and volume respectively and p 1 and V1 are the pressure and volume measured upon compression Bulk modulus elasticity may also be expressed in terms of pressure and density K = p 1 p 0 / [ ρ 1 ρ 0 / ρ 0 ]
Get PriceL 0 L A F E ∆ ∆ = This modulus reflects the stiffness of earth materials E is the ratio of stress to our aim is to lengthen or shorten a rock without actually breaking it the greater the value of E the larger the stress that is needed to achieve the deformation
Get PriceThe value that I need is the horizontal subgrade modulus for the rock in order to determine what deflection the foundation will see when bearing against the rock Bowles has some empirical formulas for estimating Ks from the Es I calculated the Es of the rock mass from the RMR fattdad Geotechnical 13 May 08 16 45
Get PriceAfter the production of the granules size shape and the pharmaceutical properties according to the European Pharmacopeia bulk density tapped density Hausner ratio Carr index and angle of repose were determined [] In the next step the paper granules were used for the production of tablets from which the pharmaceutical properties according to the European Pharmacopeia were determined
Get PriceThe shear modulus is defined as the ratio of shear stress to shear strain It is also known as the modulus of rigidity and may be denoted by G or less commonly by S or μ The SI unit of shear modulus is the Pascal Pa but values are usually expressed in gigapascals GPa In English units shear modulus is given in terms of pounds per square
Get PriceThe coefficient of friction in the contact between the steel anchor and the rock medium according to various literature data is assumed to be and most commonly on
Get PriceTypical values of E Young s modulus and Poisson s ratio are measured directly in uniaxial compression or extension tests tests with constant or zero residual stress Young s modulus Poisson s ratio n = d e r / d e a Note If the material is incompressible so e v = 0 Poisson s ratio is n = Typical values of E
Get PriceKey Features If the volume is unit then Bulk Density= Mass Unit in kg/m 3 or lb/ft 3 In this definition the volume is that contains both the aggregates and the voids between aggregates particles The approximate bulk density of aggregate that is commonly used in normal weight concrete is between 1200 1750 kg/m3 75 110 lb/ft3
Get PriceDescribe with examples the young s modulus shear modulus and bulk modulus Determine the change in length given mass length and radius Substituting known values with the value for the bulk modulus B from By how much does a kg mountain climber stretch her 800 cm diameter nylon rope when she hangs m below a rock
Get PriceThe bulk modulus of a material can be expressed as K= Vfrac {d P} {d V} Where K is the bulk modulus V is volume and P is pressure For ideal isotropic and elastic materials the bulk modulus modulus of elasticity and Poisson s ratio are related by the following equation [1] K=frac {E} {3 1 2v }
Get PriceThe value of the bulk modulus for steel is about × 107 psi or × 1011 pascals three times the value for glass Thus only one third of the pressure is needed to reduce a glass sphere the same amount as a steel sphere of the same initial size Under equal pressure the proportional decrease in the volume of glass is three times that
Get PriceThe bulk modulus values of the solid clay phase Ks lie between 6 and 12 GPa and shear μ s modulus values vary between 4 and 6 GPa A comparison is made between the accuracy of velocity prediction in shaley sandstones and clay water and clay sand mixtures using the values measured in this study and those from theoretical models
Get PriceThe formula for bulk modulus is 1 Where V = initial volume dP = change in pressure dV = change in volume K can be alternatively calculated if the Youngs Modulus also known as the Modulus of Elasticity and the Poisson s Ratio of the material are known Here 2 Where E = Youngs Modulus and = Poisson s Ratio
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