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A member ABCD is subjected to point loads P1,P2,P3, and P4 calculate the force P3 necessary for equilibrium if P1, = 120 kN, P2, = 220 kN and P4, = 160 kN. Determine also the. net change in the length of the member. Take E = 200 GN/m². Calculate 40 mm x 40 mm 25 mm x 25 mm 30 mm x 30 mm A в P2 + 0.75 cm + im 1.2 m-
AD is string hung from a horizontal ceiling at A and D. A weight of 75kN is hung from point B.
Determine the magnitude of weight that should be hung from point C such that the portion BC of the string is horizontal. Point B is 0.6cm from A and point C is 0.35cm from D as shown below. Also calculate the tension in the various portion AB,BC and CD of the string
Direct stresses of 120 N/mm^2 (tension) and 90 N/mm^2 (compression) are applied at a particular point in an elastic material on two mutually perpendicular planes the principal
stress in the material is limited to 100 N/mm^2(tension) calculate the allowable value of shear stress at the point on the given planes determine also the value of the other principal stress and the maximum value of shear stress at the point using Mohr's circle
A single-stage impulse turbine rotor has a mean blade ring diameter of 500 mm and rotates at a speed of 10,000 rpm. The nozzle angle is 20° and the steam leaves the nozzles with a velocity of 900 m/s. The blades are equiangular and the blade friction factor is 0.85. Construct the velocity diagrams for the blades and determine the inlet angle of the blades for shockless entry of steam. Determine (a) the diagram power for a steam flow of 750 kg/h, (b) the diagram efficiency, (c) the axial thrust, and (d) the loss of kinetic energy due to friction.
At a particular point in a structural member a two dimensional stress system exists where sigma x=60N/mm^2 sigma y=-40N/mm^2 and shear stress (xy) =50N/mm^2 if young's modulus =200000N/mm^2 and poisson's ratio =0.3 calculate the direct strain in the x and y directions and the shear strain at the point.
Listed below is a combination of stresses acting at a point and referred to axes x and y in an elastic material. Using Mohr’s circle of stress determine the principal stresses at the point and their directions for each combination.
i) sigma x=-60 N/mm^2, sigma y=-36N/mm^2, shear stress (xy) =5N/mm^2
ii) sigma x=30 N/mm^2, sigma y=-50N/mm^2, shear stress (xy) =30N/mm^2
convert the following expression into a standard sop form: a + b(ac + (b + c!)d)
In crank and slotted lever quick return mechanism, the crank length is (100 +X )mm and the distance between the fixed center is (225+X)mm. The length of the slotted lever is (525+X)mm. Determine the ration of time of cutting stroke to time of return stroke. Also calculate the length of the stroke . Note where X is two digit number made from the last two digit of the registration number of the students For example if the reg. no. of the student is 11912081 then X=81 and crank length is 80+81=161mm Draw the neat and clean diagram with proper scale. Rough drawings will not be considered.
The following consecutive readings were taken with a level and a 4-metre leveling staff on a continuously sloping ground at common intervals of 30 m:
0.855 (on A), 1.55 m, 2,335, 3.825, 0.455, 1.380, 2.055, 2.855, 3.455, 0.585, 1.015, 1.850, 2.755, 3.845 (on B).
The RL of A was 380.500. Make entries in a level book and apply the usual checks. Determine the gradient of AB.
A 30 m steel tape was standardised at a temperature of 20o C and under a pull 5 kg. The tape was used in catenary to fix a distance of 28 m between two points at 40o C and under a pull of 5 kg. Given that the cross-sectional area of the tape = 0.02 cm2, total weight 470 g. Young’s modulus of steel = 2.1 X 106 kg/cm, and coefficient of linear expansion = 11 x10-6per oC, (a) find the correct distance between the points, and (b) find the value of pull for which the measured distance would be equal to the correct distance.
