Determine the maximum moment that can be applied to the following three standard shapes constructed from steel: w14x30, w360x44, wt12x47. assume that the allowable stress is 550 mpa (80 ksi) in both compression and tension. assume each shape to experience bending around the strong axis.

Apiping systems consists of 6 m of 6-std type k and 12 m of 4-std type k, both drawn copper tubing. the system conveys ethylene glycol at a rate of 0.013 m3/s. the pressure drop across the system is to be calculated. there are two 90° elbows in the 6-in pipe, a reduction from the 6-in pipe to the 4-in pipe and four 90° elbows in the 4-in pipe. all fittings are soldered (same as flanged) and regular. the inlet and outlet of the system are at the same height.