Question #170090

Determine handle diameter , lever arm cross-secion , and journal diameter if :


effort = 400 N

bending sterss = 50 N/mm^2

bear stress = 40 N/mm^2





1
Expert's answer
2021-03-10T05:54:12-0500

Let D = Diameter of the handle


Bending moment, M = P × L = 400 × 450 = 180 × 10³ N-mm


The twisting moment depends upon the point of application of the effort.

T = 400 × 100 = 40 × 10³ N-mm


We know that equivalent twisting moment,

Te=(M2+T2)=184.4×103NmmT_e = \sqrt{(M²+T²)} = 184.4 × 10³ N-mm


We also know that equivalent twisting moment (Te

),

184.4×103=π16×Torque×D3184.4 × 10³ = \dfrac{π}{16} × Torque × D³


D3=184.4×10310.8=17.1×103D³ = \dfrac{184.4× 10³}{10.8} = 17.1 × 10³


D = 25.7 mm


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