STRENGTH OF MATERIALS 



the shaft is M l = Pd^ and the torsional moment at C is J/, = /'V 

 Therefore, jf_6LJ^Uie_iadius of the shaft at C, the normal stress on 

 the extreme fiber due to bending is 



y-^5- 



ira 



and the shearing stress on the extreme fiber due to torsion is 



There is also a shearing stress of amount P distributed over Un- 

 cross section through (7, but since it is zero at the outer fiber it does 

 not enter into this calculation. 



From Article 26, the values of the principal stresses are 



and from Article 28, the maximum or minimum shear is 



Inserting in these expressions the values of p and q obtained above, 

 the principal stresses and the maximum or minimum shear are, in 



the present case, n 



The equivalent stress may also be found. Tims, from equation (15), 

 Article 36, its value is 



1 vn _l_ 1 



Till J. . 7/1 ~t~ A 



Inserting the values of p and q from the above, this becomes 



m m 



If the value of m is assumed to be 3J, then 



p e = ,[.7 M, 1.3 Vj/J + 



TTrt 



