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Question Number 73255 by TawaTawa last updated on 09/Nov/19

Answered by mr W last updated on 09/Nov/19

there is no support on the right end  of the beam!    0.4L×R_(Mid) −0.2L×0.6W−0.8L×0.15W=0  ⇒R_(Mid) =((0.2×0.6+0.8×0.15)/(0.4))W=0.6W  0.4L×R_(Left) −0.2L×0.6W+0.4L×0.15W=0  ⇒R_(Left) =((0.2×0.6−0.4×0.15)/(0.4))W=0.15W    check: R_(Mid) +R_(Left) =0.6W+0.16W=0.75W

$${there}\:{is}\:{no}\:{support}\:{on}\:{the}\:{right}\:{end} \\ $$$${of}\:{the}\:{beam}! \\ $$$$ \\ $$$$\mathrm{0}.\mathrm{4}{L}×{R}_{{Mid}} −\mathrm{0}.\mathrm{2}{L}×\mathrm{0}.\mathrm{6}{W}−\mathrm{0}.\mathrm{8}{L}×\mathrm{0}.\mathrm{15}{W}=\mathrm{0} \\ $$$$\Rightarrow{R}_{{Mid}} =\frac{\mathrm{0}.\mathrm{2}×\mathrm{0}.\mathrm{6}+\mathrm{0}.\mathrm{8}×\mathrm{0}.\mathrm{15}}{\mathrm{0}.\mathrm{4}}{W}=\mathrm{0}.\mathrm{6}{W} \\ $$$$\mathrm{0}.\mathrm{4}{L}×{R}_{{Left}} −\mathrm{0}.\mathrm{2}{L}×\mathrm{0}.\mathrm{6}{W}+\mathrm{0}.\mathrm{4}{L}×\mathrm{0}.\mathrm{15}{W}=\mathrm{0} \\ $$$$\Rightarrow{R}_{{Left}} =\frac{\mathrm{0}.\mathrm{2}×\mathrm{0}.\mathrm{6}−\mathrm{0}.\mathrm{4}×\mathrm{0}.\mathrm{15}}{\mathrm{0}.\mathrm{4}}{W}=\mathrm{0}.\mathrm{15}{W} \\ $$$$ \\ $$$${check}:\:{R}_{{Mid}} +{R}_{{Left}} =\mathrm{0}.\mathrm{6}{W}+\mathrm{0}.\mathrm{16}{W}=\mathrm{0}.\mathrm{75}{W} \\ $$

Commented by TawaTawa last updated on 09/Nov/19

God bless you sir

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$

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