284CHAPTER 4Shear Forces and Bending MomentsProblem 4.5-30A simple beam ABsupports two connected wheel loads Pand 2Pthat are distance dapart (see figure). The wheels may be placed atany distance xfrom the left-hand support of the beam. (a) Determine the distance xthat will produce the maximum shear forcein the beam, and also determine the maximum shear force Vmax. (b) Determine the distance xthat will produce the maximum bendingmoment in the beam, and also draw the corresponding bending-moment diagram. (Assume P510 kN, d52.4 m, and L512 m.)Solution 4.5-30Moving loads on a beam(a) Maximum shear forceBy inspection, the maximum shear force occurs atsupport Bwhen the larger load is placed close to, butnot directly over, that support.(b) Maximum bending momentBy inspection, the maximum bending moment occursat point D, under the larger load 2P.Vmax5RB5P¢32dL≤528kNx
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