A vertical isosceles triangular gate with its vertex up has a base width of 2 m and a height of 1·5 m. If the vertex of gate is 1 m below the free water surface, find the total pressure force and the position of centre of pressure.

What are the advantages of High Strength Friction Grip bolts How the load is transferred in High Strength Friction Grip bolts? Explain with sketches.

An undisturbed soil at a borrow pit has a water content 12 percent, void ratio 0·55 and specific gravity of solids 2·62. The soil from the borrow pit is to be used for the construction of an embankment. The specifications for the embankment require dry density of 17·5 kN/m^3 with a water content of 18·5 per cent. Calculate the quantity of water in litres which is required to be added to the borrow pit soil per m^3 of finished embankment.



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Calculate the moment of force at Point A.

Calculate the amount of horizontal force to be applied at B to produce the same amount of moment of force as calculated above.

Calculate smallest amount of force to be applied at to produce the same amount of moment of force as calculated in part

Calculate the distance of point on lever, where 1·20 kN vertical force to be applied to produce same amount of moment of force as calculated in part



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Calculate bending moment and shear force and plot their variation for the frame shown in the above figure.

A O· 3 m diameter pipe carries water at a velocity of 24.4 m/s. At points A and the pressures were measured 36l kPa and 288 kPa respectively. The elevations of points A and B were as 30·5 m and 33·5 m respectively. Find the loss of head between A and B.

A light weight building stands over a 10m thick stratum of sand. Beneath the sand stratum a clay layer of 5 m thick exists. The clay layer is underlain by a rock stratum. The water table lies at a depth of 1·0 m below ground surface and the sand above the water table is saturated with capillary rise. The sand has a void ratio of 0·75 and sp. gr. 2·65. During dry season, water is pumped out from the sand stratum till the water table is lowered by 4·0 m and sand above water table becomes dry.

Calculate the number of days when the building settles by 25 mm. Ignore settlement during pumping operation.

Take properties of clay: Void ratio 0·60, Sp. gr. 2·70, Liquid limit Coefficient of consolidation 6x10^-3 cm^2/s.

Mu/bd^2 2·5 2·6 2·7 2·8 2·9 3·0 3·1
pt 0·65 0·695 0·727 0·76 0·794 ·826 ·863



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Details of a dog-legged stair for a building is shown in the above figure_ The floor to floor height is 3·0 m. The live load may be taken as 2.5 kN/m^2 thickness of the stair slab is 150 mm The rise and tread are 150 mm and 250 mm respectively. Design and detail the typical flight. Use M-25 of concrete and Fe-500 grade of steel. Use limit state method.

In a consolidated drained triaxial test (CD test) a specimen of saturated sand failed under a deviator stress of 220 kPa when the cell pressure was 100 kPa. Determine the shear strength parameters, the shear strength and the maximum shear stress.

dynamic viscosity 1.5 poise and relative density 0·9 flows through a 3 em diameter vertical pipe. Two pressure gauges are fixed 20 m apart The gauge A fixed at the top records 200 kPa and gauge B fixed at the bottom records 500 kPa. Find the direction of flow and the rate of flow



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Calculate the vertical displacement of joint B of plane truss givcn in the above figure by unit load method. All members of truss have constant cross-sectional area and same material (Constant A



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The above figure shows a two-layered backfill behind a 9·0 m high retaining wall with a smooth vertical back. Draw the total active earth pressure distribution diagram and find the point of application of the resultant earth pressure.



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Two moving loads, 300 kN each and spaced 4·0 m apart, cross a 20·0 m long simply supported girder from left to right as shown above. Calculate the absolute maximum bending moment due to these moving loads.



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A square hollow section is connected to the flange of ISMB 600 as shown in the above figure. The bracket is subjected to symmetrical vertical and horizontal load of each 50 kN. The size ofSHS is 150xl50x6 mm. Find the weld size required for the connection.

A 50 scale spill-way model has discharge of 1·25 m^3/s. What is the corresponding prototype discharge? If a flood phenomenon takes 12 hours to occur in the prototype, how long should it take in the model

The design mix proportion of Cement: Fine agg. Coarse agg. Water for a concrete mix of grade M-25 at Saturated Surface Dry condition is 1·2 0.4 (by weight). Find out the revised mix proportion due to change of material characteristics (Fine and Coarse agg.) for raining day before casting at site.
Given: Sp. gravity of Fine and Coarse agg. 2·6 and 2·65 respectively.

Surface moisture on Fine and Coarse agg. 2·5 and 1·5 respectively.

How the durability factor is taken up during concrete mix design as per I.S. code?

A foundation trench is to be excavated for a large project in a site. The soil investigation report shows the following details:

Depth from Ground surface Type of soil Index properties

0-8m Fine sand Void ratio l·20, Sp.gr. 2·62
8 -10 m Greyish clay Void ratio 0·76, Sp.gr. 2·65
Below 10 m Coarse sand

It is observed that an open excavation is stable up to 5·75 m depth with the existing water table. The excavation is to be made up to 8·5 in depth for which water table is to be lowered. What are the initial and final depths of water table



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Two bars of 50 mm dia are connected as shown in the above figure. Find the maximum load P that can be applied. E 2x 10^5 MPa.

Calculate the maximum shear stress in a hollow circular shaft having 300 mm external diameter and 150 mm internal diameter. This shaft is subjected to a twisting moment of 4 kN-m. If modulus of Rigidity G 82 calculate the twist for a length of 20 times the extel11al diameter of shaft



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Three beam members are connected at the joint B as shown in the above figure. Joint B is subjected to a clockwise moment of 100 kN-m. Calculate the moment at C and D by Moment Distribution Method. All beam elements have constant cross-sectional area and materials. (Constant I and


A reinforced concrete cantilever beam (300 mm x 600 mm) of span 2 m carries a u.d.l. of 125 kN/m including its self weight. The beam is reinforced with 4 Nos. 25 mrn dia bars at top and 2 Nos. 20 nml dia bars at bottom. Design the shear reinforcement and draw the cross-section of the beam. Use M-25 and Fe-500. Use limit state method of design. Given:

100Ast/bd 0·25 0·5 0·75 1·0 1·25 1·50 1·75
Tc(MPa) 0·36 0·49 0·57 0·64 0·70 0·74 0·78

A horizontal rectangular channel 4 m wide carries a discharge of 16 m^3/s.
Determine whether a jump may occur at an initial depth of 0·5 m or not. Determine the sequent depth to this initial depth. Also find the energy loss in this jump.

Pelton wheel turbine develops 5520 KW power under a head of 240 m at an overall efficiency of 80%. The turbine is running at a speed of 200 r.p.m. Find the unit discharge, unit power and unit speed assuming peripheral coefficient as 0.46. If the head on the same turbine falls during summer season to 150 find the discharge, power and speed for this head.



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An anchored sheetpile founded in a cohesive soil is to retain a sandy backfill as shown in the above figure. Calculate the depth of embedment of the sheet pile and the pull in the anchor.



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Calculate maximum bending stress and shear stress at the fixed end of a cantilever beam as shown in the above figure. Also sketch the variations of bending stress and shear stress at fixed end. Beam has a uniform thickness of 50 nun. Beam has a depth of 200 mm at free end and 300 nm1 at fixed' end.



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A cantilever retaining wall is to be constructed to retain earth embankment 3·1 m high above ground level. The unit weight of earth is 19 kN/m^3 and its angle of repose is 35°. Diri1ensions of the wall are shown in the above figure and the wall is safe against all stability check. Design the stem of the wall using M-25 and Fe­500. Detail the reinforcement in stem also. Use Limit State Method. Given:

Mu/bd 2 0.4 0·5 0·6 0·7 0·8 1·0 1·2
pt 0·094 O· 118 0·142 0·167 0·191 0·216 0·35
Tc 0·46 0-49 0·52 0·54 0·58 0·64 0·69

Air flows over a flat plate I m long at a velocity of 6 m/sec. Determine

the boundary layer thickness at the end of the plate,

shear stress at the middle of the plate,

total drag per unit length on both sides of the plate.

Take mass density of air p 1·226 kg/m3 and kinematic viscosity of air v 0·15x10^-4 m^2/sec.

A cast in situ RCC pile of 500 mm dia x 8·0 m long is constructed at a site with the following soil profile.

Layer No. Depth from Ground surface Type of soil Properties of soil

I 0-2 m Medium dense sand Ysat 17 kN/m^3 k 1
II 2-3m Soft clay compressible ysat 16 kN/m^3 Cu 20 kPa, adhesion factor 0.80
III 3 -15 m Dense coarse sand ysat 19 kN/m^3 Nc 41, Nq 55 Ny 42, k 2

Considering water table at ground surface find the ultimate pile load capacity as per IS:2911: