To choose the lightest and most economical steel beam section that supports a given set of loads. before proceeding, review how to draw shear and bending moment diagrams using the graphical method.

Hydraulic fluid with a sg. of 0.78 is flowing through a 1.5 in. i.d. pipe at 58 gal/min. the fluid has an absolute viscosity of 11.8 x 105 lbf-sec/ft2. is the flow laminar, turbulent or within the critical range? give both a numerical reynolds number and a term answer.