Question

The splined ends and gears attached to the A992 steel shaft are subjected to the torques shown. Determine the angle of twist of end B with respect to end A. The shaft has a diameter of 40 mm. Also, determine the maximum shear stess on shaft. Here, G=75 GPa. 400 Nm 1200 Nm B 600 Nm 600 mm 500 mm 200 Nm 400 mm

Answer 1

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400N-M B 600N-M 2ooN.m 1200N- d = 40mm G= 75 Gla A E 200N-m 800N-m + A » 200 800 N-m 400 mm Soomm 400N-m + B 400 Nom Goo mm Angle of twist of end B with respect to A ( I ) 600 400 x 20 x 10' ***** Soo - 3 800 x 20 x 10 II x (40x103) * x 75x109 17 / 2 (4 08153)*x15x103 32 400 200 x 20 x 103 Tly (40x103) * x 75x109 -4 =-=636620 rad 0.0127 radian YA -3 800 X 20 X10 Maximum shear stress on shaft a = 63.694 MPa T/ (40x103)*