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Problem 4: Design the diameter of A992 steel shaft that is subjected to the torques as...

Question

Problem 4: Design the diameter of A992 steel shaft that is subjected to the torques as...

Problem 4: Design the diameter of A992 steel shaft that is subjected to the torques as shown in the figure; provided that the
Problem 4: Design the diameter of A992 steel shaft that is subjected to the torques as shown in the figure; provided that the angle of twist of end B with respect to end A should not exceed 1 degree. 1200 N.m 400 Nm 600 N.m 600 mm 500 mm 200 Nm 400 mm

Answers

mument 14 # A 992 Steel shaft d=3 shear modulus of rigidity CG 12 75 G Pa [Assumed) Torsional diagram sign convection Torsion

free bally diagram. + 2000m +600nm) 400NM -1200Nm *** A 0 C porsional moment dicteram +400 mm tRoo NM с B -200 NI -1240 Nm +4

AC - Sechion TAC = 200 Nms 2x105 Nmm LAC = 400mm G = 75 G Pa 2 758163 Mpa I sud Q 10 XA sad 180 180 max. } TD4 32 OF TAC LAC

Section CD TED 800 Nm = 8x105 Nom LCD = 500 mm 69 75x105 mpa Aman T sad 180 JCD Tot 32 = Tep to Јер G7 Tcoteo JCD = ах Сл 324

TOBLDB D*= x I Toeloe amaxxG 4X105 x 600 32 x D Du I Geox 756165 DE 11:69 mm DA calculated diameter DAC = 28-08 mm DCD = 42.0

Design dia = 11.69 mm

If we choose D =42 mm then shaft AC & shaft DB will have angular twist greater than one degree.

So for design purpose we choose minimum diameter =11.69 mm


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