1.
Define second moment of inertia and find out the Centroidal moment of Inertia of a circular section with general notification.

2.
A three hinged parabolic arch of 20 m span and 4 m central rise carries a point load of4 kN at a 4 m horizontally from left hand hinge. Calculate the normal thrust and shear force at the section under the load. Also, calculate the maximum B.M. positive and negative.


3. a. Differentiate between Riveted connection andWelded
connection.
b. Define plastic theory in steel connections.

4. Design a doglegged stair comprising a straight flight of steps, supported between two stringers beams along the two sides. Assume an effective span 1.5m; a rise of150 mm and a tread of270 mm. assume a live load of 3kN/m2• Use M20 concrete and Fe 415 steel and mild exposure conditions.

5. A sluice gate 2m X 1.5 m is immersed water as shown below. Determine the total water force and its point of application. Take specific weight of wateras9.810N/m3.


<img src='./qimages/3399-5.jpg'>

6.
Develop the expression of Y2N1 for hydraulic jump over horizontal channel.

7.
A natural soil deposit has a bulk unit weight of 18 kN/m3 and water content of5 percent. Calculate the amount of water required to be added to 1 cubic meter of soil to rise the water content 15 percent. Assume that the void ratio to remain constant. What will then be the degree of saturation?TakeG=2.7

8.
The consistency limits of a soil samples are: Liquid Limit Plastic Limit Shrinkage Limit if the specimen of soil shrinks from a volume as 10 cm3 at the liquid limit to 6.01 cm3 at the shrinkage limit, calculate the specific gravity of solids.