612 Consider only the effects of the tangential forces F 240

6.12 Consider only the effects of the tangential forces F 2400 N and F 4000 N (not the normal forces Fnl and F m2). Calculate and describe the internal loads along each of the x-y-z axes at the cross-section midway between gears B and C. Take the dimensions to be L1 100 mm, L2 200 mm, and L 75 mm, and gears at B and C to have diameters dB 200 mm and d 120 mm

Solution

solution:

1)here shaft carrying gear subjected to equal and opposite torque hence resultant torque is zero on shaft hence shaft only subject to shear force andbending moment only

2)taking moment about point A

Ma=0

Rd*375-2400*100-4000*300=0

Rd=3840 N

Fy=0

Rd+Ra=Ft1+Ft2

Ra=2560 N

3)shear forces in shaft is given as

Fla=0 N

Fra=2560N

Flb=2560N

Frb=160N

Flc=160N

Frc=-3840N

Fld=-3840 N

Frd=0 N

4)bending moment inside theshaft is maximumat point C as at this pointshear force is zero

Mc=288000 Nmm

Ma=Md=0

Mb=256000 Nmm

5)in this way shear forces or internal load are only along y direction and along x andz direction forces are zero