Week5_2 - ENGR210, Fall 2011 4.9 Reduction of a simple...

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ENGR210, Fall 2011 1 4.9 Reduction of a simple distributed loading “Uniform loading along a single axis” F R is the resultant force. The pressure distribution function p is a function of x only (units: lb/ft 2 , N/m 2 , …). The distribution along “y” axis is constant (length b in the figure). Therefore, the pressure distribution function p(x) and the loading function, w(x), are different only by a constant b (w(x)= p(x)b). The units for w(x) are lb/ft, N/m, . ..
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ENGR210, Fall 2011 2 “Magnitude of resultant force” The magnitude of F R is equal to the total area A under the loading diagram (function).
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3 “Location of resultant force” The location of the line of action is determined by equating the moments of the resultant force and the moments of parallel force elements (wdx) about O, i.e., (The negative sign is for C.W. moment about O.) x locates the geometric center or the centroid of the area under the distributed loading. x
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Week5_2 - ENGR210, Fall 2011 4.9 Reduction of a simple...

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