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hollidca
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Homework Statement
The 150 mm long shaft AB transmits a power of 58.5 kW @ 1400 rpm
A helical gear is located at 100 mm from the left bearing of the shaft
Tangential pressure and helix angles are φt=24 and ψ=23 degrees, respectively; and the
pitch diameter is 20cm
Draw bending moment diagrams in two planes
Assuming a constant shaft diameter along the span, locate the critical section and maximum bending moment
Homework Equations
W=omega
W=2pi/60*n n=rpm
T=torque
P=power
T=P/W
Wt=T/r r=radius of pitch
Wr=Wt tanφt
Wa=Wt tanψ
The Attempt at a Solution
W=147 rad/s
T=58500/147=398Nm
Wt=398/0.1=3980N
Wr=3980tan(24)=1770N
Wa=3980tan(23)=1690N
Sum of moments at B =0 therefore Rz,a=1330N
Sum of forces at z=0 therefore Rz,b =2650N
This is where I'm stuck.
I have a 150mm shaft (AB). Gear 50mm from B. I need to calculate Ry,a and Ry,b.
At the point of the gear there is 1770N perpendicular to the shaft, 1690N along the shaft and a torque of 169Nm.
This is not an exam question or homework, this is just lecture notes, but i am missing the method.
The answer is Ry,a=1720N Ry,b=50N
I am able to calculate and draw the shear forces and bending moment diagrams from these numbers.