- 3 A 0 75 Inch Diameter X 10 Inch A36 Steel Bar Is Pulled With A Bending Load F 100 Lb For This Case Consider That The 1 (184.29 KiB) Viewed 20 times
3. A 0.75 inch diameter x 10 inch A36 steel bar is pulled with a bending load F=100 lb. For this case, consider that there is NO axial load P and NO torque T. That is, P=0 lb and T=0 in-lb. Analyze all of the following at point B only, not point A. 10" Value Units a) What is the applied axial stress (ox) in the bar, in units of ksi? b) What is the applied lateral stress (Oy) in the bar, in units of ksi? C) What is the applied torsional stress (t) in the bar, in units of ksi? d) What is the allowable yield stress in tension (Sy) of the bar before it yields, in units of ksi? e) What is the safety factor with respect to yielding? (i.e., Safety factor = N = Can Do / Doing = Sy / ox) f) Based on the values above, will the bar yield? g) Draw the Mohr's circle for this stress condition. Paste your hand-drawn sketch below this table. h) From the Mohr's circle, what are the two principle stress in the bar, 01 and 02, in units of ksi? i) From the Mohr's circle, what is the absolute maximum shear stress (Tabs max) in the bar, in units of ksi? j) What is the allowable yield stress in shear (Sys) of the bar before it yields, in units of ksi, per Tresca's theory? Recall: Sys per tresca = 0.50 x Sy. k) Per Tresca's theory, what is the safety factor with respect to yielding? (i.e., Safety factor = N = Can Do / Doing = Sys / tabs max) 1) Per Tresca's theory, will the bar yield? m) What is the allowable yield stress in shear (Sys) of the bar before it yields, in units of ksi, per von Mises' theory? Recall: Sys per von Mises = 0.577 x Sy. n) Per von Mises' theory, what is the safety factor with respect to yielding? (i.e., Safety factor = N = Can Do / Doing = Sys / Tabs max) o) Per von Mises' theory, will the bar yield? p) What is the von Mises' stress (o' or Ovm), in units of ksi, using this equation: d' = [0x -(0)(Oy) + oy2 + 37?jWhere Ox, Oy, and t are the applied stresses. q) What is the von Mises' stress (o' or Ovm), in units of ksi, using this equation: o' = [012-(01) (02) + 022] * Where 01 and O2 are the principle stresses. r) Per von Mises' theory, what is the safety factor with respect to yielding? (i.e., Safety factor = N = Can Do / Doing = Sy / o) s) Per von Mises' theory, will the bar yield? t) What is the maximum bending deflection of the bar, in units of inches to 4 decimal places?