Section-A
1.
Compare the moments of resistance for a given maximum bending stress of a beam of square section placed with two sides vertical and with a diagonal vertical. The bending in each case is parallel to vertical plane.
Three bodies B and C of masses 50 kg, 30 kg and 20 kg respectively are under a force of 5 kN as shown. Calculate the force transferred between A and B and C. Assume all are frictionless surfaces. src='./qimages/217-1b.jpg'>
A two-hinged parabolic arch of span 50 m and rise 5 m is under no external load. If the left support yields horizontally by 0.5 mm (outward) and the temperature rises by 10 calculate the horizontal thrust developed and draw the bending moment diagram assuming secant variation. Take EI= 1 x 1012 kN-mm 2 alfa 10 x 10-7 C.
A pipeline carrying oil of specific gravity 0.8 changes in diameter from 300 mm at position A to 500 mm diameter at position which is 5 m at a higher level. If the pressure at A is 19.62 N/cm2 and at B is 14.91 N/cm and the discharge is 0.2 determine the loss of head and the direction of the flow.
An expression for the velocity distribution in the boundary layer flow on a flat plate is given as a+bn+cn2 where n and b and c are constants. u and U are velocities at y and respectively. y is the distance measured normal to the plate and is boundary layer thickness. Value of u U when y (dow). Sketch the boundary layer thickness growth along the flat plate and velocity distribution in the boundary layer. Find the ratio of boundary layer thickness to dis-placement thickness.



2.
Analyse the continuous beam as shown by moment distribution method. Draw the bending moment diagram. Assume EI= constant. src='./qimages/217-2a.jpg'>
A cantilever beam of cross-section 50 mm x 100 mm is subjected to a compressive force parallel to the longitudinal axis of the beam at the free end. The point of application of the load is at 10 mm above the bottom surface on the vertical centroidal axis. The span of the beam is 4 m. Calculate the maximum stresses in the beam.
Water is flowing at a critical depth of flow 1.4 m in a channel shown in the figure below. Estimate the discharge and specific energy in the channel. src='./qimages/217-2c.jpg'>
The difference in water surface levels in two tanks is 15 m and distance between them is 600 m. Two pipes of diameters 30 cm and 20 cm, and each having equal length, are connected to these tanks. Find the discharge through the pipes when they are connected appropriately in series and parallel. The coefficient of friction 0.04 for each pipe. Use hf fLV2/2gd. Find the ratio of discharges when the pipes are in parallel to when the pipes are in series.

3.
Determine the plastic moment capacity of the frame as shown. Assume src='./qimages/217-3a.jpg'>
Draw the bending moment and shear force diagram of the beam as shown. EI= constant. src='./qimages/217-3b.jpg'>
Derive Euler's equation of motion along a streamline for an ideal fluid flow stating clearly the assumptions. Explain how this is integrated to get Bernoulli's equation along a streamline. How is this equation modified while applying in practice? Draw a relevant sketch pertaining to Bernoulli's equation components for flow in an upward inclined converging pipe.
An inward reaction turbine has an external diameter l.2 m and breadth 0.3 m. If the velocity of flow at inlet is 3 find the mass of the water passing through the turbine per second. Assume 15 percent of the area of flow is blocked by blade thickness. If the speed of the runner is 240 r.p.m. and guide blade angle at inlet is 15° to the wheel tangent, draw inlet velocity triangle and find-



4.
Calculate the maximum load P that can be applied on the frame as shown. Yield stress= 320 MPa and E 210 GPa. src='./qimages/217-4a.jpg'>
Draw the influence line diagram for forces in the members and of the truss as shown assuming loads are moving on the bottom chord. src='./qimages/217-4b.jpg'>
A jet of water of diameter 100 mm strikes a curved vane at its centre with a velocity of 15 m/s. The curved vane is moving with a velocity of 7 m/s in the direction of the jet. The jet is deflected through an angle of 160°. Assuming the vane is smooth, find- the force exerted on the vane in the direction of the jet; the power of the jet; the efficiency. A series of vanes are attached to a rotating wheel such that jet always strikes the vane. Find and of the above case for this situation also.
A liquid of specific gravity l.6 is flowing upwards at the rate of O.l m3/s through a vertical venturi meter with an inlet diameter of 0.3 m and throat diameter of 0.15 m. The coefficient of discharge is 0.98. The vertical distance between the pressure tappings is 0.5 m. Find the difference in readings of the two pressure gauges, which are connected to the two pressure tappings. Find the difference in levels of mercury columns of the differential manometer connected to the tappings in place of pressure gauges. Sketch the arrangement showing the details.

Section-B

5.
A reinforced concrete rectangular section of size 300 mm x 600 mm (effective depth) is reinforced with three bars of 20 mm dia. Determine the safe uniformly distributed working load that the beam can carry over a simply supported effective span of 5 m. Do not ignore self-weight of the beam. Concrete used is M 20 grade and steel used is Fe 415. Use limit state method.
A short reinforced concrete column of size 300 mm x 300 mm is reinforced with four HYSD bars of Fe 415 having 20 mm dia. Concrete used 1s M 20. Determine the safe working load that the column can carry. If the load is doubled and steel amount is kept the same, find the required section of square column. Use limit state method.
Which law controls the wet analysis? Give assumptions and limitations of the law.
What is quicksand phenomenon? How does it happen and how is it remedied?
What is earth pressure at rest? Explain it considering active and passive pressure.

6.
The following figure shows the flight of staircase of a hospital building which is simply supported on two walls at two ends. Assume suitable live load, finish load and other dead loads src='./qimages/217-6a.jpg'> For the given data- find at which section, the maximum moment will occur; find the total steel and give total number of bars of particular dia to be provided in the flight; find the nominal shear stress at critical section; show the detailing of reinforcement at A without any curtailment of main longitudinal bars. No need to apply deflection check. Use limit state method.
The following figure shows the plan of slab of a framed building. It consists of several panels with different edge conditions src='./qimages/217-6b1.jpg'> The positive and negative short-span and long-span factored moments are given in the table for three panels src='./qimages/217-6b2.jpg'> From the given moments, work out positive and negative bending moment coefficients, and indicate for which edge condition and for which long-span to short-span ratio, they are applicable.
The dry unit weight yd of a soil having 15% moisture content is 18.5 kN/m 3. Find the bulk unit weight saturated unit weight ysat and submerged unit weight Assume G=2.7.
What are the shear strength parameters? How are they determined? The following data are obtained from a series of drained shear box tests on 36 cm2 sample of silty clay. Plot the graph for effective shear strength parameters. Give the value of attraction (Janbu) src='./qimages/217-6d.jpg'>

7.
A prestressed concrete beam section is 250 mm wide and 300 mm deep. The initial prestress force is 450 kN at an eccentricity of 60 mm as shown below. The beam has a span of 5.75 m and has to carry an imposed load of 7.5 kN/m. Analyse the beam section for the stresses produced at mid-span before and after the application of imposed load. Allow a loss of prestress of 15%. Assume unit weight of concrete as 24 kN/m3 . src='./qimages/217-7a.jpg'>
The figure shown below gives the crosssection of a cantilever retaining wall which is retaining 6 m of earthfill having a unit weight of 16 kN/m 3 . The coefficient of active earth pressure is 0·33. The resultant of all the forces lies in the middle-third of the base. The wall is safe against sliding and overturning. The eccentricity is given as 0.47 m src='./qimages/217-7b.jpg'> Find the base pressures and design the heel slab for the maximum moment only by limit state method. Find the design shear at critical section. Use M 20 concrete and Fe 415 steel. Safe bearing capacity of soil is 180 kN /m2.
In laboratory test on a clay sample of thickness 25 mm drained at top only, 50% consolidation occurred in 11 minutes. Find the time required for the corresponding clay layer in field, 2 m thick and drained at top only, to undergo 70% consolidation. Assume Tv50 0.197 and Tv70 0.405.
Using Terzaghi's theory, determine the ultimate bearing capacity of a strip footing l.5 m wide resting on a saturated clay (Cu 20 kN/m 0 and y sat 20 kN/m3 at a depth of 2 m below the ground level. The water table is also at a depth of 2 m from the ground level. If the water table rises by I calculate the percentage reduction in the ultimate bearing capacity.
8.
A tension member 0.9 m long has to resist a service dead load of 20 kN and service live load of 60 kN. Design a rectangular flat bar of standard structural steel of grade Fe 410. Assume that the member is connected by one line of 16 mm diameter bolts of grade 4.6. Use limit state method. Given Partial safety factor for material, Ymo 1.1 and Ym, 1.25. Partial safety factor for dead load and live load, Yf= 1.5.
A joist cutting is used as bracket to support a factored load of 200 kN. It is welded to column flange as shown in the figure given below. Find the size of fillet weld. Grade of steel is Fe 410. Use partial safety factor for shop weld, y mw l ·25. While calculating the moment of inertia, ignore the moment of inertia of the flange weld about its own axis. Use limit state method. src='./qimages/217-8b.jpg'>
What is standard penetration test? What corrections are applied for the test? Name the other penetration tests giving the positive features of the tests.
What type of foundations be provided for successful performance of constructed low-rise structure on expansive soil?