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Given a simply supported beam with 2 point loads of 8KN and 4 KN and a uniform distributed load of 2 KN/m acting on it. Determine the support reactions for the above simply supported beam.


1 kg of steam initially dry saturated at 1.1 MPa expands in a cylinder as per pv1.13 = Constant. The pressure at the end of expansion is 0.1 MPa. Determine

(a) The final volume

(b) Final dryness fraction

(c) Workdone and

(d) Heat transferred


Simplify the following boolean function F. together with the don’t-care conditions d. and then express the simplified function in sum-of-minterms form:


F(A, B, C, D) =  Σ(4, 5, 7, 12, 13, 14)


d(A, B, C, D) =  Σ(1, 9, 11, 15)

Simplify the following boolean expression, using four-variable maps:


AB'C + B'C'D' + BCD + ACD' + A'B'C + A'BC'D


Simplify the following boolean expression, using four-variable maps:


A' B' C' D' + A'CD' + AB'D'+ABCD + A' BD


Steam issues from the nozzle of a single-impulse turbine at

800 m/sec on to blades moving at 300 m/sec. The blade tip angles

at inlet and outlet are 36º each. The steam is to enter the blades

without shock and the flow over the blades is frictionless.

Determine—

(a) the angle at which the nozzles are inclined to the motion of the

blades;

(b) diagram efficiency.


Simplify the following boolean function, using four-variable maps:


F(A, B, C, D) =  Σ(0, 2, 4, 5, 6, 7, 8, 10,

13, 15)

Simplify the following boolean function, using karnaugh maps:


F(w, x, y, z) =  Σ(2, 3, 12, 13, 14, 15)

In a reaction turbine, the mean blade ring diameter is 1 m and the

turbine runs at a speed of 50 RPS. The blades are designed for 50% 

reaction with exit angles 30º and inlet angles 50º. The turbine is

supplied with steam at the rate of 160 kg/sec and the stage

efficiency is 85%. Determine—

(a) power output of the stage;

(b) percentage increase in relative velocity.


Simplify the following boolean expression, using three-variable maps:

F(x, y, z) = xyz + x'y'z + xy'z'
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