For a timber beam having the cross section shown note figure

For a timber beam having the cross section shown (note: figure is not to scale): Determine the largest allowable vertical shear resultant. V_all, if the shearing stress allowable is 75MPa. Be sure to justify quantitatively your determination of where the shear stress will be maximized and to show all necessary Q calculations dearly. Plot (using computer tools) the distribution of shear stress along a vertical line through the centroid (i.e. plot tau_ave(y))

Solution

generally horizontal stresse are more than the vertical stress

maximum stress occurs in the web of wide flange in the neutral axis

where v is the shear force acting