Corrugated Wood Composite Panels For Structural Decking

Uniform Line LoadUniform line load (ULL) across the width, b , can be expressed using a unitimpulse function as in the following equationqxy ( , ) = qδ( y− y)(28)LowhereqLis the magnitude of ULL in terms of load per unit width ( lbs / in ).yois thelocation of ULL measured from the x-axis (Figure 16). δ (.) is the unit impulse function,also known as the Dirac delta function, and has the following characteristicsδ ( y− y ) = 1 for y = y(29)ooδ ( y− y ) = 0 for y ≠ y(30)oTherefore, ULL only occurs at the location where y equal to yoand is zero for all othervalues of y . Substituting equation (28) into equation (24) giveso2 L nπqn( x) = qLsin( y) ( y yo)dyL∫ δ −(31)0LIntegrating the product of a Dirac delta function and a continuous function over the wholedomain, i.e., from 0 to L for this case, is equivalent to evaluating the function aty = y .oHence, equation (31) can be expressed asyoqxy ( , ) = qδ( y−y)q LLoxLby∆(x,y)Figure 16: Uniform line load on rectangular plate.32