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GATE CE 2019 SOM+GEOTECH+RCC+SA Mix Revision Quiz 3 (App update required to attempt this test)

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Question 1

Find the magnitude of the force applied at the midpoint of the span of the given beam to make the slope at both the ends zero.

Question 2

Which of the following statements are not correct?
1) Strain Energy method can be used to find out the deflection of the member only.
2) Strain Energy method can be used for a section having variable flexural rigidity.
3) Castigliano’s first theorem gives the deflection at a point.
4) Moment area method cannot be used for the beams having variable section properties.

Question 3

What is the reaction at support D of the rigid-jointed structure shown below?

Question 4

Two identical soil specimens were tested in a triaxial apparatus. 1st specimen failed at a deviator stress of 770 kN/m2, when confining pressure was 200 kN/m2, 2nd specimen failed at a deviator stress of under a confining pressure of 400 kN/m2.
If the same soil is tested in a direct shear test apparatus and the normal stress is Then the shear stress at failure is?

Question 5

A dam was constructed with clay soil at moisture content of 12%. After construction degree of saturation of soil was found to be 55%. This soil absorbed water during monsoon season and its degree of saturation increased to 90%. Determine the water content of soil at this stage (in%) Take G = 2.68

Question 6

A sample of clean sand was collected at a depth of 7m below ground. The sample had been under a horizontal load of 270 kN/m2, vertical load of 175 kN/m2 and a shear stress of 83.5 kN/m2. If the angle between the vertical stress and principal stress is 700, calculate the angle of internal friction.

Question 7

What is the ratio of theoretical effective length of the following two end conditions. The clear span is same for the two conditions.
1) Effectively held in position and restrained against rotation in both ends
2) Effectively held in position at both ends and restrained against rotation at one end.

Question 8

Consider a 6m concrete beam of rectangular cross section 200 mm × 450 mm. The beam is prestressed by 4 wires of diameter 5 mm located 125 mm above the soffit. The prestress induced in the wires is 1.5 kN/mm2.
If a concentrated load acts at the midpoint of the load, then the maximum load that can be applied without producing tension at the bottom of the beam is

Question 9

A simply supported concrete beam of 10 m length and 200 × 300 mm cross section is prestressed by cables of area 1100 mm2 at an eccentricity of 50 mm below the neutral axis. It supports a UDL of 10 kN/m. Initial prestress is 800 N/mm2. The stress at the top fibre at the midspan of the beam is

Question 10

What is the final end moment in the following structure?
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Nov 18ESE & GATE CE