(Solved): The sketch in figure above shous a chin orive idler by an elactric motor, the ...

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The sketch in figure above shous a chin orive idler by an elactric motor, the input is on left $$(3500)$$ and output is on right(8900N). $$B$$ hos $$319.85\mathrm{mm}$$ diameter. $$C$$ hos $$125\mathrm{mm}$$ dioneter. Reaction forces at $$A$$ and $$B$$ ore Leaction $$(\begin{array}{l}{R}_A=183.33\mathrm{N}\text{ ot }A\\ R_D=5216.67\mathrm{N}\text{ ot }B.\end{array}$$ Stapt dometer is $$50\mathrm{mm}$$ Asuming $$k_p=21$$ and stress type $$f_s\left(n_d\right)=2$$ and medium corbon skel(QT at $$316^{?}\mathrm{C}$$, with $$S_y=310\mathrm{mia}$$ and $$S_{ut}=600\mathrm{mPa}$$ a) check shaft sige of $$d=50\mathrm{mm}$$ solisfoctory under static looding b) Determire if the shoft siee is switoble for fatigue looding using madiped Godmon Line for mochired finishond 920 reliability and determive fotigue lipe $$c)$$ some as " $$b$$ " but shapt is subjected to $$50\mathrm{mPa}$$ of an adbitional olternating axial stress