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Aggregate ratio testing: Prior to construction, this test determines the ratio of cementitious material to aggregate when used in conjunction with the water content determination test The preconstruction test value serves as the control for testing during construction; repeated testing shows the ability of the mixing operator to properly and consistently add cementitious materials and sand to the mortar mixer and establishes batch-to-batch variations in the mortar composition Air content testing: Establishing the air content of mortars that contain air-entraining cementitious materials or admixtures is important Repeated testing during construction shows the changes that result from variations in mixing time, mixing efficiency, and other job-site conditions Compressive strength testing: Compression testing of molded mortar cylinders or cubes permits establishment of the strength developing characteristics of the mortar Measured strength will vary with the mortar water content at the time of set The measured values do not represent the actual strength of the mortar in the constructed masonry, because some water is suctioned out of the mortar when placed against the masonry units Strength results will also vary with the shape of the specimen that is tested; cylinder compressive strength is considered equivalent to 85 percent of the cube compressive strength Splitting tensile strength: Measured splitting tensile strength will also vary with the mortar water content at the time of set Similar to compressive strength, the splitting tensile strength measured by this test approximates, but does not represent, the actual strength of the in-place mortar ASTM C 1324 defines how to analyze hardened mortar by a combination of petrographic (microscopic) examination and chemical analysis to determine the component materials and their relative proportions Thus, the mortar type, as defined in ASTM C 270 (M, S, N, or O), can be identified Procedures included in the test method require a substantial degree of both petrographic and chemical skills as well as relatively elaborate equipment If a mortar that is analyzed by ASTM C 1324 is determined to have a composition that does not conform to the proportion requirements of ASTM C 270 (Table 214), one cannot conclude that the mortar does not meet the requirements of the standard The mortar may satisfy the alternate property requirements (Table 216) of ASTM C 270.

(944)

Recall that the brightness of a diffuse surface illuminated by a point source depends on the cosine of the angle between the surface normal and the direction of the illumination; hence the brightness is related to the dot product of these two vectors For each point source of illumination, there will be a different image irradiance equation since there will be a different reflectance map For point source i, the image irradiance equation will be (945) Form a 3 x 3 matrix from the direction vectors for the point sources:

(946)

Fine grout is made with fine aggregates (sand) only Coarse grout is made with both fine aggregates (sand) and coarse aggregates (pea gravel)

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A vector of three image irradiance measurements is obtained at each point in the image: (947) The system of image irradiance equations for each point in the image can be written as E = pSn (948) Note that E, p, and n depend on the position in the image, but S does not depend on position in the image plane and is constant for a given arrangement of light sources For each point in the image, solve for the vector that represents albedo and surface orientation:

(949)

The albedo p(x, y) is the magnitude of this vector The unit normal for surface orientation is obtained by dividing out the albedo For a given distribution of light sources, the S matrix can be inverted once using LV decomposition The inverse matrix does not have to be recomputed for every point in the image In fact, the inverse of the S matrix can be determined once for the application and the stored inverse reused for subsequent surface orientation measurements The values of pn can be determined from the vector E of image irradiance values using back-substitution [197, pp 39-45] The set of image irradiance equations can be solved quickly using a lookup table that maps the image irradiance triple (El, E2, E3) into the albedo and surface orientation (p,p, q)

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