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. <br /> . Figure ii Simple Beam— Two Unequal Concentrated Loads Unsyn�metrically <br /> Placed <br /> - e--- _ n,(e-a�+ PZb <br /> ,�, �t x, = v. . . . . . . . . . . . . . — e <br /> �X— � <br /> Pa+ Pt(�-b) <br /> R� = VZ . . . . . . . . . . . . . = e <br /> x, R> <br /> ��; +-�>-► V, �when x > a and < (e-b)� . . . = R, - P, <br /> + Mi(max when R� < P). . . . . . . = Ria <br /> v, + <br /> � Snea� vt MZ(max when RZ < PZ) . . . . . . = RZ6 <br /> } Mz(when x < a) . . . . . . . . . = R�x <br /> Mr (when x > a and < (e-b)) . . . = Rtx- P(z -a) <br /> M� �r <br /> � I <br /> � <br /> M<nrieni <br /> Figure 12 Cantilever Beam—Uniformly Distributed Load <br /> I~—f�—� R = V . . . . . . . . . . . . . . = w� <br /> Wf' I . _ . . . . . . . . = WX <br /> �, VY . . . . . . <br /> 1Z <br /> �,ez <br /> j M�,;,x(ar fixed end). . . . . . . . . _ — <br /> 2 <br /> �X; M . . . . . . . . . . . . . . . = wxz <br /> ` 2 <br /> + . . . . . . . . = we+ <br /> Om.,X(at free end) . <br /> 8EI <br /> Shear V �x . . . . . . . . . . . . . . . = W �X4 —�;X+ �4� <br /> 24EI <br /> � <br /> � <br /> n� <br /> Moment ���� <br />