Using a finite summation, compute the initial deflection at midspan for the beam in Figure P8.42.
NOTE: Because reinforced concrete beams crack due to tensile stresses created by
moment and shear, initial elastic deflections are based on an empirical equation for
moment of inertia established from experimental studies of full-size beams (provided in
the ACI Code). This equation produces an effective moment of inertia I e that varies from
about 0.35 to 0.5 of the moment of inertia I G based on the gross area of the cross
section. The additional deflection due to creep and shrinkage that occurs over time,
which can exceed the initial deflection, is not considered.
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