quires valldating 1-17. The shaft is supported at its ends by two bearings A and

Question

quires valldating 1-17. The shaft is supported at its ends by two bearings A and B and is subjected to the forces applied to the pulleys fixed to the shaft. Determine the resultant internal loadings acting on the cross section at point D.The 400-N forces act in the-z direction and the 200-N and 80-N forces act in the +y direction. The journal bearings at A and B exert only y and z components of force on the shafl 400 mm 150 mm 150 mm 200 mm 200 mm 300 mm .v 80 N 80 N 200 N 200 N 400 N 400 N Prob. 1-17 n

Explanation / Answer

Solution :

Find the x and y components of each

First determine the forces at A and B;

May = 0;

-0.3(800) +1.4Bz=0,

Bz=171.43N

Mby = 0;

1.1(800)-Az(1.4)=0,

Az=6.28.57N

Maz = 0;

-0.7(400)-1.0(160)+By(1.4)=0,

By=314.28N

Mbz = 0

; 0.4(160)+0.7(400)-Ay(1.4)=0,

Ay=245.7N

Now determine the moments about C;

Mcy=0;

0.2(800)-628.57(0.5)+Mcy=0,

Mcy=154Nm (There is a signissue here)

Mcz=0;

Mcz-0.2(400)-0.5(160)+0.9(314.28)=0,

Mcz=-123Nm

Now find the forces in the Y and Z for the shear at C;

Fy=0;

Vcy=314.28-160-400=-246N

Fz=0;

Vcz=628.57-800=-171.43N

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