The beam has the rectangular crosssection shown as is made o

The beam has the rectangular cross-section shown as is made of wood with an allowable shear stress Tau_all = 1.6 ksi. The shear resultant on the cross section is 4 kip. Determine the smallest acceptable dimension a assuming that the narrow rectangular beam approximation (Eqs. 6.9-6.10) is acceptable. Determine the smallest acceptable dimension of a neglecting the narrow beam approximation and instead using data presented at the bottom of page 423 of the text. Repeat parts a and b if the beam is turned sideways while V remains vertical.

Solution

Minimum required area= P/tau = 4/1.4=2.5 sq inch =2a²

a> (2.5/2)= 1.12 inch