Therefore, it can be seen from the former equation, that when a certain bending moment M is applied to a beam cross-section, the developed curvature is reversely proportional to the moment of inertia I. Thus their combined moment of inertia is: These triangles, have common base equal to h, and heights b1 and b2 respectively. The moment of inertia of a triangle with respect to an axis perpendicular to its base, can be found, considering that axis y'-y' in the figure below, divides the original triangle into two right ones, A and B. This can be proved by application of the Parallel Axes Theorem (see below) considering that triangle centroid is located at a distance equal to h/3 from base. The moment of inertia of a triangle with respect to an axis passing through its base, is given by the following expression: Where b is the base width, and specifically the triangle side parallel to the axis, and h is the triangle height (perpendicular to the axis and the base). The six possible order combinations should be randomized across panelists.
Construction of Sine Bar The sine bar is made of high carbon steel, high chromium (corrosion resistance) and hardened. Angles can be measured or set with this tool. The dimension required to obtain an angle from 0°-90°, incremented by 1-min intervals.
If possible, all three samples should be presented to the panelist at once, and the panelist should be instructed to taste the samples from left to right. The angle is measured by using a sine rule. The moment of inertia of a triangle with respect to an axis passing through its centroid, parallel to its base, is given by the following expression: Test Principle During a triangle test, a panelist is presented with one different and two alike samples.
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