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attribute vec3 a_normal; attribute vec2 a_texCoord; varying vec2 v_texCoord0; varying vec2 v_texCoord1; varying vec4 v_lighting; void main() {

where L = applied load, kg d = length of long diagonal, mm The indenter constant 0.070 28 corresponds to the standard angles mentioned above. 32.8.6 Scleroscope Hardness The scleroscope hardness is the hardness number obtained from the height to which a special indenter bounces.The indenter has a rounded end and falls freely a distance of 10 in in a glass tube. The rebound height is measured by visually observing the maximum height the indenter reaches. The measuring scale is divided into 140 equal divisions and numbered beginning with zero. The scale was selected so that the rebound height from a fully hardened high-carbon steel gives a maximum reading of 100. All the previously described hardness scales are called static hardnesses because the load is slowly applied and maintained for several seconds. The scleroscope hardness, however, is a dynamic hardness. As such, it is greatly influenced by the elastic modulus of the material being tested.

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The tensile test is conducted on a machine that can apply uniaxial tensile or compressive loads to the test specimen, and the machine also has provisions for accu-

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rately registering the value of the load and the amount of deformation that occurs to the specimen. The tensile specimen may be a round cylinder or a flat strip with a reduced cross section, called the gauge section, at its midlength to ensure that the fracture does not occur at the holding grips. The minimum length of the reduced section for a standard specimen is four times its diameter. The most commonly used specimen has a 0.505-in-diameter gauge section (0.2-in2 cross-sectional area) that is 21 4 in long to accommodate a 2-in-long gauge section. The overall length of the specimen is 51 2 in, with a 1-in length of size 3 4-10NC screw threads on each end. The ASTM specifications list several other standard sizes, including flat specimens. In addition to the tensile properties of strength, rigidity, and ductility, the tensile test also gives information regarding the stress-strain behavior of the material. It is very important to distinguish between strength and stress as they relate to material properties and mechanical design, but it is also somewhat awkward, since they have the same units and many books use the same symbol for both. Strength is a property of a material it is a measure of the ability of a material to withstand stress or it is the load-carrying capacity of a material. The numerical value of strength is determined by dividing the appropriate load (yield, maximum, fracture, shear, cyclic, creep, etc.) by the original cross-sectional area of the specimen and is designated as S. Thus S= L A0 (32.8)

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The subscripts y, u, f, and s are appended to S to denote yield, ultimate, fracture, and shear strength, respectively. Although the strength values obtained from a tensile test have the units of stress [psi (Pa) or equivalent], they are not really values of stress. Stress is a condition of a material due to an applied load. If there are no loads on a part, then there are no stresses in it. (Residual stresses may be considered as being caused by unseen loads.) The numerical value of the stress is determined by dividing the actual load or force on the part by the actual cross section that is supporting the load. Normal stresses are almost universally designated by the symbol , and the stresses due to tensile loads are determined from the expression = L Ai (32.9)

where Ai = instantaneous cross-sectional area corresponding to that particular load. The units of stress are pounds per square inch (pascals) or an equivalent. During a tensile test, the stress varies from zero at the very beginning to a maximum value that is equal to the true fracture stress, with an infinite number of stresses in between. However, the tensile test gives only three values of strength: yield, ultimate, and fracture. An appreciation of the real differences between strength and stress will be achieved after reading the material that follows on the use of tensiletest data.

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