Thursday, 9 August 2012

To study the aneroid barometer and determine the barometric pressure


Apparatus:-

Aneroid barometer

 Barometer:-

A barometer is a scientific instrument used in meteorology to measure atmospheric pressure. It can measure the pressure exerted by the atmosphere by using water, air, or mercury. Pressure tendency can forecast short term changes in the weather. Numerous measurements of air pressure are used within surface weather analysis to help find surface troughs, high pressure systems, and frontal boundaries.

Aneroid Barometer:-

An aneroid barometer, invented by the French 19th century engineer and inventor Lucien Vidie, uses a small, flexible metal box called an aneroid cell. This aneroid capsule (cell) is made from an alloy of beryllium and copper. The evacuated capsule (or usually more capsules) is prevented from collapsing by a strong spring. Small changes in external air pressure cause the cell to expand or contract. This expansion and contraction drives mechanical levers such that the tiny movements of the capsule are amplified and displayed on the face of the aneroid barometer. Many models include a manually set needle which is used to mark the current measurement so a change can be seen. In addition,
the mechanism is made deliberately "stiff" so that tapping the barometer reveals whether the pressure is rising or falling as the pointer moves.

How it works:-

The aneroid barometer is operated by a metal cell containing only a very small amount of air, or a series of such cells joined together. Increased air pressure causes the sides of the cell or cells to come closer together. One side is fixed to the base of the instrument while the other is connected by means of a system of levers and pulleys to a rotating pointer that moves over a scale on the face of the instrument. This pointer is usually black.

The aneroid barometer (above) consists of a closed sealed capsule with flexible sides. Any change in pressure alters the thickness of the capsule.

Levers magnify these changes, causing a pointer to move on a dial, or numbers to change on a digital read-out device.

 

Advantages of Aneroid Barometer:-

  • Aneroid barometers have a mechanical adjustment for altitude that allows the equivalent sea level pressure to be read directly and without further adjustment if the instrument is not moved to a different altitude.
  • Easy to carry around.
  • It is light-weight.
  • Having no liquid.

Determine the relative humidity by using the sling type psychrometer.


Apparatus:-

Sling type psychrometer, dew point calculator and stop watch.

Theory:-

Dry-bulb temperature:-

The dry-bulb temperature is the temperature of air measured by a thermometer freely exposed to the air but shielded from radiation and moisture. Dry bulb temperature is the temperature that is usually thought of as air temperature, and it is the true thermodynamic temperature. It is the temperature measured by a regular thermometer exposed to the airstream.

Wet-bulb temperature:-

The wet-bulb temperature is a type of temperature measurement that reflects the physical properties of a system with a mixture of a gas and a vapor, usually air and water vapor. Wet bulb temperature is the lowest temperature that can be reached by the evaporation of water only. It is the temperature one feels when one's skin is wet and is exposed to moving air.

Relative humidity:-

The relative humidity  of an air-water mixture is defined as the ratio of the partial pressure of water vapor (H2O) (ew) in the mixture to the saturated vapor pressure of water (e*w) at a prescribed temperature.
Relative humidity is normally expressed as a percentage and is calculated by using the following equation:
=ew/e*w *100

Construction of the sling psychrometer:-

It consists of two identical thermometers; one measures the dry-bulb temperature and the other with a silk or cotton sleeve measures the wet-bulb temperature. Both thermometers are mounted side by side in a rigid frame; they are generally 6 to 10 in. (152.4 to 254.0 mm) in length, graduated from 0 to 1200F (-180 to 490C). A water reservoir, filled with distilled or tap water, keeps the wet-bulb sleeve wet at all the times during measurement. The frame is attached by a swivel connection to a handle for whirling.

Procedure:-

  • First of all revolve the psychrometer at 2 to 3 revolutions per second by keeping the handle in hand by keeping the instrument at the distance of arm length.
  • Do this for some reasonable time and after that stop this and note the time.
  • Also note the wet-bulb and dry-bulb temperatures quickly.
  • By using the Dew point calculator find out the relative humidity.

    Supposed Observation:-




Wet bulb temperature

910F (32.770C)

Dry bulb temperature

750F (23.890 C)

Time



2 mint 15 sec

Relative humidity

48%

 


To measure the velocity of air by using vane anemometer.



Apparatus:-

Vane anemometer, stop watch.

Theory:-

Importance of air velocity:-

Air velocity is the most frequently measured dynamic physical property of mine air. This is because air velocity is of vital importance in the calculation of airflow quantities, fan power requirements, and fan efficiencies (theses are major factors in quantity control). There are also minimum and maximum air-velocity requirements in headings and active working places for air quality control involving gases and dusts.

Construction of vane anemometer:-

Vane anemometer is a small windmill-like instrument consisting of a number of radial blades or impellers, a gearing mechanism, a clutch system and a pointer. In operation it can be hand held but is preferably mounted on an extension rod and is held with the blades oriented normal to the direction of air motion.

Working:-

The blades rotate at a speed proportional to the air velocity. The gearing mechanism translates the rotation directly into linear airflow in feet, and the pointer integrates the flow on a marked dial. The clutch system engages the gears at the start and is disengaged at the completion of measurement. Disengaging stops the recording and locks the pointer at the current value of the integrated air velocity. Most anemometers are provided with a switch for setting the readings to zero before the start of measurement. Digital anemometers provide direct readout of the linear feet of air travel.


Some factors for its working:-

    • It works for intermediate and high-velocity ranges, although specially designed anemometers are available for low or very high air velocity ranges(2000 to 10,000 fpm or 10.16 to 50.8 m/s).
    • It works also during traversing. But speed of traversing should be less than 40 ft/minute.
    • If distance of vane anemometer from the body is less than 4 ft then error will be negligible.

      Procedure:-

      • First of all press the switch lever to take the pointer at zero.
      • Then press the clutch and at the same time start the stop watch to measure the time.
      • After some time stop the watch and also stop the rotation of impellers by pressing the clutch.
      • Note the time from stop watch and distance from the meter.
      • Calculate the velocity of air.

      Supposed Calculation and observation:-



initial reading =0 ft

final reading =168 ft
time  =48.7 sec

air velocity = 3.45 ft/sec

Velocity of air=3.45 ft/sec=206.98 ft/minute

Wednesday, 8 August 2012

Study of a cistern/mercury barometer and to measure the atmospheric pressure.


Apparatus:-

Cistern barometer.

Construction of Cistern Barometer:-

It is a mercury barometer in which the lower mercury surface is larger in area than the upper surface. The basic construction of a cistern barometer is as follows:
A glass tube 1 m in length, sealed at one end, is filled with mercury, and then inverted. The tube is mounted so that its mouth penetrates the upper surface of a reservoir of mercury called the cistern of the barometer. Cistern barometers are classified according to whether the cistern is fixed in volume (Kew barometer) or variable in volume (Fortin barometer).

Working of Cistern Barometer:-

The barometer shall be mounted in a vertical position in accordance with applicable instructions. The observer shall adjust the cistern as follows:
(1). Tap the barrel near the top of the mercury column.
(2). Turn the thumbscrew at the bottom of the barometer until the surface of the mercury in the cistern touches the tip of the ivory point (i.e., until the top coincides with its image in the mercury). If a dimple forms on the surface, indicating that the mercury has been raised too far, turn the thumbscrew in the opposite direction until the dimple disappears and the ivory point coincides with its image in the mercury. Contact of the mercury with the ivory point is more easily seen against a white background.
(3). Set the vernier so that the base just cuts off light at the highest point of the meniscus (the curved upper surface of the mercury column. A white background facilitates this setting.
(4). Lower the mercury about 1/4 inch from the ivory point; do not change the setting of the vernier.

Mercury Barometer:-

A mercury barometer has a glass tube with a height of at least 84 cm, closed at one end, with an open mercury-filled reservoir at the base. The weight of the mercury creates a vacuum in the top of the tube. Mercury in the tube adjusts until the weight of the mercury column balances the atmospheric force exerted on the reservoir. High atmospheric pressure places more force on the reservoir, forcing mercury higher in the column. Low pressure allows the mercury to drop to a lower level in the column by lowering the force placed on the reservoir. Since higher temperature at the instrument will reduce the density of the mercury, the scale for reading the height of the mercury is adjusted to compensate for this effect.

Tuesday, 7 August 2012

Determination Of The Uniaxial Compressive Strength Of The Given Rock Materials.


Scope:-

This method of test is intended to measure the uniaxial compressive strength of a rock sample in the form of specimens of regular geometry. The test is mainly intended for strength classification and characterization of intact rock.

Apparatus:-

  • A suitable machine shall be used for applying and measuring axial load to the specimen. It shall be of sufficient capacity and capable of applying load at a rate conforming to the requirements set in Section 3.
  • A spherical seat, if any, of the testing machine, if not complying with specification 2(d) below, shall be removed or placed in a locked position, the two loading faces of the machine being parallel to each other.
  • Steel platens in the form of discs and having a Rockwell hardness of not less than HRC58 shall be placed at the specimen ends. The diameter of the platens shall be between D and D + 2 mm where D is the diameter of the specimen. The thickness of the platens shall be at least 15 mm or D/3. Surfaces of the discs should be ground and their flatness should be better than 0.005 mm.
  • One of the two platens shall incorporate a spherical seat. The spherical seat should be placed on the upper end of the specimen. It should be lightly lubricated with mineral oil so that it locks after the dead weight of the cross head has been picked up. The specimen, the platens and spherical seat shall be accurately centered with respect to one another and to the loading machine. The curvature centre of the seat surface should coincide with the centre of the top end of the specimen.
Theory

Compressive Strength:-

Compressive strength is the capacity of a material or structure to withstand axially directed pushing forces. When the limit of compressive strength is reached, materials are crushed.
By definition, the uniaxial compressive strength of a material is that value of stress reached when the material fails completely. The compressive strength is usually obtained experimentally by means of a compressive test. The compressive strength of the material would correspond to the stress at the red point shown on the curve. Even in a compression test, there is a linear region where the material follows Hooke's Law
Compressive Strength=LoadArea

Comparison Of Compressive And Tensile Strengths:-

An example of a material with a much higher compressive strength than tensile strength is concrete. Ceramics typically have a much higher compressive strength than tensile strength. Composite materials tend to have higher tensile strengths than compressive strengths. One such example is glass fiber epoxy matrix composite.

Procedure:-

  • Test specimens shall be right circular cylinders having a height to diameter ratio of 2.5-3.0 and a diameter preferably of not less than NX core size approximately 54 mm. The diameter of the specimen should be related to the size of the largest grain in the rock by the ratio of at least 10:1.
  • The ends of the specimen shall be flat to 0.02 mm and shall not depart from perpendicularity to the axis of the specimen by more than 0.001 radian (about 3.5 min.) or 0.05 mm in 50 mm.
  • The sides of the specimen shall be smooth and free of abrupt irregularities and straight to within 0.3 mm over the full length of the specimen.
  • The use of capping materials or end surface treatments other than machining is not permitted.
  • The diameter of the test specimen shall be measured to the nearest 0.1 mm by averaging two diameters measured at right angles to each other at about the upper height, the mid height and the lower height of the specimen. The average diameter shall be used for calculating the cross-sectional area. The height of the specimen shall be determined to the nearest 0.1 mm.
  • Samples shall be stored, for no longer than 30 days, in such a way as to preserve the natural water content, as far as possible, and test in that condition. This moisture condition shall be reported in accordance with “Suggested method for determination of the water content of a rock sample”.
  • Load on the specimen shall be applied continuously at a constant stress rate such that the failure will occur within 5-10 min of loading, alternatively the stress rate shall be within the limits of 0.5-1 M Pa/s.
  • The maximum load on the specimen shall be recorded in Newtons to within 1%.
  • The number of the specimens tested should be determined from practical considerations but at least five are preferred.
 

Sunday, 5 August 2012

To determine the p & s wave velocity of a given rock sample by using pundit (portable ultrasonic non-destructive digital indicating tester).


SCOPE:-
  • With the advent of this apparatus it became very easy and cheap to inspect rocks.
  • The world known PUNDIT offers users a reliable and accurate method for determining the sonic properties of materials.
APPARATUS:-
  • PUNDIT
  • Core sample
  • Grease
THEORY
PUNDIT:-
The PUNDIT is a light and portable apparatus, simple to operate and has a high order of accuracy and stability.

WORKING:-

This equipment generates ultrasonic pulses with a frequency of 50kHz and measures the transit time from the transmitting transducer through the sample to the receiving transducer by displaying it in the form of three digits in three numerical indicator tubes
The transmitter converts pulses into mechanical ones which are later converted into electrical pulses by the receivers.

P-WAVES:-

P waves (primary waves) are compressional waves that are longitudinal in nature. P waves are pressure waves that are the initial set of waves produced by an earthquake. These waves can travel through any type of material, and can travel at nearly twice the speed of S waves. In air, they take the form of sound waves, hence they travel at the speed of sound. Typical speeds are 330 m/s in air, 1450 m/s in water and about 5000 m/s in granite.

S-WAVES:-

S waves (secondary waves) are shear waves that are transverse in nature. These waves typically follows P waves during an earthquake and displaces the ground perpendicular to the direction of propagation. Depending on the propagational direction, the wave can take on different surface characteristics; for example, in the case of horizontally polarized S waves, the ground moves alternately to one side and then the other. S waves can travel only through solids, as fluids (liquids and gases) do not support shear stresses. S waves are slower than P waves, and speeds are typically around 60% of that of P waves in any given material.


DYNAMIC MODULUS:-
Dynamic 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.
PROCEURE:-
  • Stiffer grease was used as a coupling agent in this study.
  • Transducers were pressed to either end of the sample and the pulse transit time was recorded.
  • P & S wave velocities were calculated using distance time Equation.

APPLICATIONS:-
Ultrasonic testing can be used for;
  • The homogeneity of a material.
  • The presence of voids, cracks or other internal imperfections of defects.
  • Changes in the concrete which may occur with time (.e, due to the cement hydration or damage from fire, frost or chemical attack).
  • The strength or modulus of a material.
  • The quality of the concrete in relation to specified standard requirements.

Notes:-
  • In most rocks, wave velocity in the saturated conditions is higher than in the dry condition.
  • Sample should be oven dried
  • A good acoustic coupling between the transducer face and the rock surface is necessary for the accuracy of transit time measurement
  • Test was quite easy to perform.
  • Our apparatus had some fault that’s why we got wrong values but our main purpose was to learn that how this method works. So we followed those steps.

Saturday, 4 August 2012

Determination Of Point Load Index Of Given Rock Sample

Scope:-
The purpose of this test is to measure the rock specimen’s strength by applying a concentrated load using a pair of conical hardened steel platens, causing failure by the development of tensile cracks parallel to the axis of loading.
Specimens are either in the form of rock cores or irregular lumps. Core specimens are preferred. Tests can be performed either in the laboratory or in the filed, depending on the testing machine. The index thus obtained is used for rock strength classification and initial determination of its unconfined compressive strength.

Apparatus:-

The testing machine incorporates a loading system and a system for measuring the load required to break the specimen. The testing machine can be of the loading frame equipped with a pair of conical hardened steel platens. Essential features for the testing machine are as follows;
  • The loading system should be adjustable to accept 1 to 4 in. (25 to 100 mm) rock specimens, for which a loading capacity of up to 11,000 lbs. (approximately 50 kN) is usually required. To minimize delay between tests, a quick retracting ram is desirable.
  • Spherically truncated conical platens are used to transmit the load to the specimen. The platens should be hardened and accurately aligned during testing. Fig.3 indicates the critical dimensions of the platens.
     
    • The load measuring system should indicate failure load to an accuracy of + 2%. It should incorporate a maximum-indicating device, so that the reading is retained and can be recorded after the specimen failure.



      Theory:-

      THE POINT LOAD TEST:-

      The PLT is an attractive alternative to the UCS because it can provide similar data at a lower cost. The PLT has been used in geotechnical analysis for over thirty years (ISRM,1985). The PLT involves the compressing of a rock sample between conical steel platens until failure occurs. The apparatus for this test consists of a rigid frame, two point load platens, a hydraulically activated ram with pressure gauge and a device for measuring the distance between the loading points. The pressure gauge should be of the type in which the failure pressure can be recorded. A state of the art point load testing device with sophisticated pressure reading instrumentation is shown in Figure .
      The International Society of Rock Mechanics (ISRM, 1985) has established the basic procedures for testing and calculation of the point load strength index. There are three basic types of point load tests: axial, diametral, and block or lump. The axial and diametral tests are conducted on rock core samples. In the axial test, the core is loaded parallel to the longitudinal axis of the core, and this test is most comparable to a UCS test. The point load test allows the determination of the uncorrected point load strength index (Is). It must be corrected to the standard equivalent diameter (De) of 50 mm. If the core being tested is "near" 50 mm in diameter (like NX core), the correction is not necessary. The procedure for size correction can be obtained graphically or mathematically as outlined by the ISRM procedures. The value for the Is50 (in psi) is determined by the following equation. Is 50 = P/De2 (1)
      P = Failure Load in lbf (pressure x piston area).
      De = Equivalent core diameter (in).
      As Hoek (1977) pointed out, the mechanics of the PLT actually causes the rock to fail in tension. The PLT’s accuracy in predicting the UCS therefore depends on the ratio between the UCS and the tensile strength. For most brittle rocks, the ratio is approximately 10. For soft mudstones and claystones, however, the ratio may be closer to 5. This implies that PLT results might have to be interpreted differently for the weakest rocks.
      Early studies (Bieniawski, 1975; Broch and Franklin, 1972) were conducted on hard, strong rocks, and found that relationship between UCS and the point load strength could be expressed as:
      UCS = (K) Is50 = 24 Is50 (2)
      Where K is the "conversion factor." Subsequent studies found that K=24 was not as universal as had been hoped, and that instead there appeared to be a broad range of conversion factors. Table 1 summarizes published results obtained for sedimentary rocks. Most of the estimates place the conversion in a range between 16 and 24, with even lower values for some shales and mudstones.
      In studies comparing the PLT with the UCS, it is generally assumed the UCS test is the standard. In reality, however, UCS tests provide an estimate of the “true” UCS of the rock. The accuracy of the estimate depends on the natural scatter in the UCS test results (indicated by the standard deviation (SD)) and the number of tests conducted (n). This relationship is captured by the concept of the “Confidence Interval” (CI). For normally distributed data, the 95% CI of the mean is expressed as:
      CI 95% = 1.96SDn

      Test specimen preparation:-

      Rock samples are grouped on both of the rock type and estimated strength. At least 10 specimens are selected for testing each sample if core samples are used.
      Specimens in the form of core are preferred for accurate classification. Acceptable minimum and maximum core sizes are AX and HX, respectively.

      Procedure:-

      1. Diameter test:-

      The core sample with a length to diameter ratio greater than 1.4 is suitable for diametric testing.The inclination of bedding, foliation or other plane of weakness, if present, is recorded with respect to the line of loading.The diameter “D” of the specimen is measured to the nearest 0.005 inches by averaging two diameters measured at right angles to each other at about the upper height, mid-height and lower height of the specimen. The diameter D is then the average of the three diameters obtained at the upper height, mid-height and lower height of the specimen.The specimen is inserted in the test machine and the platens advanced to make contact along a core diameter, entering the distance, L, between the contact point and the nearest free end is at least 0.7 D .
      The load is increased to failure and the failure load P is recorded. The fragments are retained for water content determination which is performed after all specimens of the sample are tested for point-load strength.
                       

The Axial Test:-

Core specimens with a length-to-diameter ratio of 1.1 + 0.005 should be used. Long pieces of core can be utilized to obtain both diametric and axial strength values. The core is tested diametrically first, ensuring that a suitable length is retained for subsequent axial testing (i.e. , ensuring that L/D=1.1 + 0.005).
         The steps of diametric testing are repeated.

  1. Tests For Anisotropic Strength:-

Tests should be made in both the weakest and strongest directions where the rock is bedded, schistose or where it shows observable anisotropy. Care should be taken to ensure that the loading is strictly in and perpendicular to the direction of the weakness plane.
The procedure for testing is the same as described above.
 
 

Observations and Calculations:-

The point-load strength index is calculated as follows:
Point-load strength index=Is=P/D2
Where;
P= The load required to break the specimen
D=The distance between the two platen contact points
The point load strength may also be obtained from the nomogram in Fig. 5.
For standard classification, the index Is(50) should be used. Is(50) is the point load strength corrected to a diameter of 50 mm, and may be obtained from Is by correcting this value to a reference diameter of 50 mm using the correction chart.
The strength anisotropy index Is(50) may be computed as the ratio of the average corrected strength indexes for tests perpendicular and parallel to planes of weakness. Ia assumes values close to 0.1 for isotropic rocks and higher values when the rock is anisotropic.
The point-load strength is closely correlated with the results of uniaxial compression strength tests. The approximate correlation between the point load index and the uniaxial compressive strength is qu=24 Is(50).
Correction factor=F=(D/50)0.45
Is(50)=F x Is