Engineering Answers

Simplify the following Boolean functions to find the simplified SOP and POS terms using k-map:

F (A, B, C, D) = ∑ (2, 3, 6, 7, 12, 13, 14)

Simplify the following Boolean function F, together with the don’t-care conditions d (K-Map):

F(A, B, C, D) = ∑ (5, 6, 7, 12, 14, 15)

D(A, B, C, D)= ∑ (3, 9, 11, 15)

Water enters a heating system at a flow rate of 0.2 kg/s. The system has a thick-walled tube with inner and outer diameters of 16 and 25 mm respectively. The outer tube surface is well insulated, and there is electrical heating within the tube wall which provides a uniform generation of q = 4.7 x106 W/m3

The thin-walled single cell beam shown in Figure has been idealized into a combination of

direct stress carrying booms and shear stress only carrying walls. If the section supports a vertical

shear load of 20 kN acting in a vertical plane through booms 3 and 6, calculate the distribution of

direct stress around the section.

A single cylinder four stroke diesel engine running at 350 rpm develops. 26.5 kw brake power. The fuel contains 85% of carbon and 15% of hydrogen by weight. The mechanical and brake thermal efficiency may be taken as 86% and 30% respectively. The atmospheric air temperature is 20% and pressure is I bar. The engine uses 25% excess air and the volumetric efficiency is 82%. Determine the bore and stroke of engine if bore to stroke ratio is 1:2 and C.V. of fuel is 43960 kJ/kg of fuel

Find the general solution of the integral equation

F(t)= aSint-2∫0^t F(u) Cos(t-u)du?

Find all possibile Taylor's series and Laurent series expansion of f(z)=1/(z+1)(z+2)² about the point z=1