Nonprismatic Beams veered cantilever beam AB of length L has square cross sections and supports a concentrated load P at the nd Isee figure part (a)]. The width and height of the beam vary linearly from ha at the free end to hp at the fixed end. Determine the distance x from the free end A to the cross section of maximum bending stress if ha 3h4. %3D (a) What is the magnitude omax of the maximum bending stress? What is the ratio of the maximum stress to the largest stress B at the support? (b) Repeat (a) if load P is now applied as a uniform load of intensity q = PIL over the entire beam, A is restrained by a roller support and B is a sliding support [see figure, part (b)]. q = P/L A hA B hB Sliding support (a) (b) PROP 30

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Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.