2 edition of **Effect of shear stress on dynamic bulk modulus of sand** found in the catalog.

Effect of shear stress on dynamic bulk modulus of sand

John H. Schmertmann

- 308 Want to read
- 15 Currently reading

Published
**1978** by The Station in Vicksburg, Miss .

Written in

- Sand.,
- Strains and stresses.,
- Shear (Mechanics)

**Edition Notes**

Statement | by John H. Schmertmann ; prepared for Office, Chief of Engineers, U.S. Army under contract no. DACW39-76-M-6676 ; monitored by Geotechnical Laboratory, U.S. Army Engineer Waterways Experiment Station. |

Series | Technical report -- S-78-16., Technical report (U.S. Army Engineer Waterways Experiment Station) -- S-78-16. |

Contributions | United States. Army. Corps of Engineers., Geotechnical Laboratory (U.S.), University of Florida. Dept. of Civil Engineering. |

The Physical Object | |
---|---|

Pagination | 92 p. in various pagings : |

Number of Pages | 92 |

ID Numbers | |

Open Library | OL17543870M |

Chapter 5 Engineering Properties of Soil and Rock Overview The purpose of this chapter is to identify, either by reference or explicitly herein, appropriate methods of soil and rock property assessment, and how to use that soil and rock property data to establish the final soil and rock parameters to be used for geotechnical design. state. The level of sustained shear stress can be characterized by a parameter α, defined as the ratio between the sustained shear stress and the effective confining stress on the maximum shear stress plane. Although the importance of sustained shear stress has long been recognized, its effect on cyclic strength has not yet been fully Size: 1MB. Shear and bulk moduli, G and K. The equations in Figure 74 and Figure 75 are implemented in the concrete model initialization routines to set the default moduli of concrete as a function of concrete compressive strength.

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Additional Physical Format: Online version: Schmertmann, John H. Effect of shear stress on dynamic bulk modulus of sand. Vicksburg, Miss.: The Station, []. Seed and Idriss's () simplified method is the one-dimensional total stress method; it defines that sand has liquefaction when average dynamic shear stress of sand is greater than the dynamic shear stress strength during the earthquake.

Subsequently, Seed and others proposed two-dimensional and three-dimensional total stress analysis method.

Young's modulus and shear modulus in static and dynamic analysis. Dear researches, With FLAC 3D using mohr-coulomb constitutive model, I want to model a block of soil under earthquake loading.

An effective value equal to of the maximum strain is then considered to modify appropriately the shear modulus value at each depth, according to G/G max. E = Young’s Modulus, also known as Modulus of Elasticity. G = Shear Modulus, also known as Modulus of Rigidity. K = Bulk Modulus. = Poisson’s Ratio.

Calculate Shear Modulus from Young’s Modulus. Calculate Shear Modulus from the Bulk Modulus. Calculate Bulk Modulus from Young’s Modulus. Calculate Bulk Modulus from the Shear Modulus. The effective confining pressure, initial static shear stress, and cyclic shear stress have a remarkably small effect on the shear modulus reduction of saturated post-liquefaction Nanjing sand in the “zero effective stress” and dilative stage after the phase by: 8.

AN EXPERIMENTAL STUDY FOR DETERMINING THE SHEAR MODULUS OF TOYOURA SAND confining pressure have great effect on the shear modulus and also degree of saturation can affect the to measure shear modulus of dry and saturated sands.

Naeini and Baziar () investigated dynamic strength of silty sand mixtures by using dynamic triaxial tests. File Size: KB. The shear modulus is one of several quantities for measuring the stiffness of materials. All of them arise in the generalized Hooke's law.

Young's modulus E describes the material's strain response to uniaxial stress in the direction of this stress (like pulling on the ends of a wire or putting a weight on top of a column, with the wire getting longer and the column losing height),Derivations from other quantities: G = τ / γ, G = E.

column and torsional shear tests. Tatsuoka et al. [2] investigated the effects of sample preparing methods on the dynamic shear modulus by using resonant column test.

Wang and Kuwano [3] modelled the dynamic shear modulus behavior of sand-clay mixtures. Markowska-lech [4] studied the stress effect on the shear modulus of cohesive : Mehmet Inanc Onur. mine the very-small-strain shear modulus and its reduction with strain.

Necessarily, only a few studies will be men-tioned. Following the development of the resonant column test, Hardin & Black () demonstrated the in uence of void ratio (e) and mean effective stress (p9) on the maximum (elastic) shear modulus, G 0, through an empirical. value for the small-strain shear modulus Gmax against which shear modulus is usually normalised.

Test data shown in section 4 is normalised by a Gmax obtained from equation (7), where Vs is shear wave velocity and ρ soil density. For the model waste and the saturated sand, shear wave velocity Vs is obtained using a miniature air hammer which.

Results are used to further investigate and compare the controlling mechanisms and trends in changes of dynamic bulk modulus and static Young’s modulus of the sand layer.

The static Young’s modulus depends on the stress history and increases significantly for over-consolidated samples, while the dynamic bulk modulus is more related to the. The dynamic shear modulus (DSM) is the most basic soil parameter in earthquake or other dynamic loading conditions and can be obtained through testing in the field or in the laboratory.

The effect of consolidation ratios of the maximum DSM for two types of sand is investigated by using resonant column tests. And, an increment formula to obtain the Cited by: 1. Determination of Dynamic Shear Modulus of Soils from Static Strength. Chae, W. Au and Y. Chiang tend to be quite low compared with dynamic stress-strain moduli from low amplitude strain range of static and dynamic strength of the soils, the sand and silty clay specimens were treated either with cement, lime or a lime-fly Cited by: 1.

Institute of Industrial Science, University of Tokyo Bulletin of ERS, No. 42 () EFFECT OF STATIC SHEAR STRESS ON UNDRAINED CYCLIC BEHAVIOR OF SATURATED SAND Gabriele CHIARO1, Takashi KIYOTA 2, L.I.N. DE SILVA3, Takeshi SATO4 and Junichi KOSEKI5 ABSTRACT: To investigate the effect of static shear stress on the undrained cyclic behavior of.

Sand shear modulus (µ sand x 10 9 Pa) Clay bulk modulus (K clay x 10 9 Pa) Clay shear modulus (µ clay x 10 9 Pa) Pore water bulk modulus (K water x 10 9 Pa) Hydrate bulk modulus (K h x 10 9 Pa) Dynamic modulus (sometimes complex modulus) is the ratio of stress to strain under vibratory conditions (calculated from data obtained from either free or forced vibration tests, in shear, compression, or elongation).

It is a property of viscoelastic materials. are enumerated. The technique used in this paper involves the calculation of shear modulus, bulk compressibility, and the ratio of shear modulus to bulk compressibility.

The shear modulus to bulk compressibility ratio has been related empirically to sand inﬂux. This Mechanical Properties Log method works 81% of the Size: KB.

where K is called the bulk modulus. Note that G and K are related to E and. Dynamic Elastic Modulus Measurements in Materials alloy aluminum analysis anisotropic annealed ASTM International ASTM International ASTM STP beam behavior bondtester bulk modulus calculated cemented sand coefficient cohesive strength complex modulus Composite Materials confining pressure Task Group E on Dynamic 3/5(1).

EFFECT OF INITIAL STATIC SHEAR STRESS ON THE UNDRAINED CYCLIC BEHAVIOR OF SATURATED SAND BY TORSIONAL SHEAR LOADING. Gabriele 1CHIARO, Takeshi 4SATO. 2, Takashi KIYOTA. and Junichi KOSEKI ABSTRACT. With the aim of gaining a better understand the roleing of which the static shear plays on the - large.

The bulk modulus (or) of a substance is a measure of how resistant to compression that substance is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume.

Other moduli describe the material's response to other kinds of stress: the shear modulus describes the response to shear, and Young's modulus describes the. The Effects of Initial Static Shear Stress on Liquefaction Resistance of Silty Sand. Wei. 1, J. Yang. ABSTRACT. Understanding the cyclic behavior and liquefaction resistance of sand has been a subject of great interest over the years.

Among various factors affecting the liquefaction resistance of sand, the. Abstract. The dynamic effective shear strength of saturated sand under cyclic loading is discussed in this paper. The discussion includes the transient time dependency behaviors based on the analysis of the results obtained in conventional cyclic Cited by: 1.

The Bulk Modulus Elasticity - or Volume Modulus - is a material property characterizing the compressibility of a fluid - how easy a unit volume of a fluid can be changed when changing the pressure working upon it. An increase in the pressure will decrease the volume (1).

A decrease in the volume will increase the density (2). The two can be related to each other by using various relationships between Young's Modulus, Bulk Modulus, Shear Modulus and Poisson's ratio.

Static results should be lower than the dynamic results. An elastic modulus (also known as modulus of elasticity) is a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when a stress is applied to it.

The elastic modulus of an object is defined as the slope of its stress–strain curve in the elastic deformation region: A stiffer material will have a higher elastic modulus.

Those are reanalyzed and brought into simple unified formulas. The unified formulas express the dynamic shear moduli and the damping ratios in terms of maximum dynamic shear modulus, cyclic shear strain amplitude, mean effective confining pressure and soil's plasticity by: stress.

The critical shear stress condition is the condition to be just less than that necessary to initiate sediment motion, which is known as incipient motion. The shear stress of sediment motion forms an integral part of the understanding of sediment transport. Shield [1] was the first to describe the critical shear stress on individualCited by: (WCH) were used to calculate shear stress–strain histories and estimate dynamic soil properties in terms of shear modulus and damping ratio.

Evaluation of Shear Stress–Strain Histories The shear stress and shear strain histories were evaluated using a one-dimensional shear beam ide-alization procedure proposed by Zeghal et al.

().File Size: KB. 6 Schneider et al. Several expressions have been proposed for estimating the maximum shear modulus, Gmax, as a function of void ratio, e, OCR, and confining pressure, σ' following normalized empirical equation to evaluate Gmax at low−amplitude shear strains can be determined from the work of Hardin and Drnevich ().

Sideways Stress: Shear Modulus. Figure 6 illustrates what is meant by a sideways stress or a shearing force. Here the deformation is called Δx and it is perpendicular to L 0, rather than parallel as with tension and compression.

Shear deformation behaves similarly to tension and compression and can be described with similar equations. There are various field and laboratory methods available for finding the shear modulus G of soils.

Field 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 andrespectively.

Stress. From the test results, the followings were found. For a wide range of shear strain amplitude (γ=5× ∼5×), the effect of stress ratio on shear modulus is minor in the triaxial compression case but considerable in the triaxial extension case.

Initial shear stress decreases shear modulus especially for the triaxial compression by: dynamic versus static shear modulus for dry sand. static initial tangent shear moduli of cylindrical specimens of dry sand measured by a sensitive instrument for amplitudes of deformation of radians, peak to peak at the ends of specimens, corresponded to published dynamic moduli.

Dynamic Young's modulus and dynamic shear modulus are used to compute Poisson's ratio. Although not specifically described herein, this test method can also be performed at cryogenic and high temperatures with suitable equipment modifications and appropriate modifications to the calculations to compensate for thermal expansion.

stress history effects were much more significant. for both soils, the shear modulus increased with decreasing void ratio and increasing effective pressure. for normally consolidated conditions, the shear modulus increased approximately with the 1/2 and 2/3 power of effective pressure for kaolinite and bentonite, respectively.

secant shear modulus, G, and damping ratio, D, of the two above mentioned sands at medium to large shear-strain amplitudes γc ≈% −20%. The effect of cyclic strain amplitude (γc), type of soil, vertical effective consolidation stress (σvc), and particularly frequency of cyclic loading (f) up to 15Hz were investigated.

The tests were File Size: KB. Effect of Stress on the Dynamic Modulus of Concrete D. LINGER, Associate Professor of Civil Engineering, University of Arizona This paper presents the results of a preliminary investigation of the effect of stress intensity on the modulus of elasticity of concrete.

Stress-strain diagrams are shown which were constructed for staticFile Size: 5MB. Dynamic Shear Modulus of Soft Silt. Fang, Professor and Director Fundamental correlations of shear modulus, damp inq ratio, shear stress, shear strain with varyinq consolidation pressures are determined in the size point of view, silt ranges between sand and clay.

Bowever, silt has its own special characCited by: 3. elasticity, elastic limit, stress, strain, and ultimate strength. • • Write and apply formulas for calculating Young’s modulus, shear modulus, and bulk modulus.

• • Solve problems involving each of the parameters in the above Size: KB.Sand-rubber mixtures has characteristics of light weight, cheap and environmental-friendly, thereby it has a great potential to be used in geotechnical engineering for sustainable development.

Dynamic properties (i.e. shear modulus and damping ratio) of sand-rubber mixtures in a small range of shearing strain amplitudes (i.e. ) were investigated in this study Cited by: 1.The Effects of Aggregate Size on Shear Dynamic Modulus from Torsion Bar Undergraduate Researcher: Farida I. Mahmud Mentor: Dr.

Andrew Braham Introduction Dynamic modulus measures strain in response to the applied stress, which mimics loads from traffic and the corresponding deformation of the asphalt pavement (Yang et al., ).Author: Farida Mahmud.