25 Questions MCQ Test GATE Civil Engineering (CE) 2023 Mock Test Series - Test: Solid Mechanics
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According to Euler's column theory, the crippling load of a column is given by p = π2 EI/Cl2 In this equation, the value of C for a column with both ends hinged, is
Detailed Solution for Test: Solid Mechanics - Question 1
In the formula l is the critical length. If both the end is fixed l= l/2 if both the end is hanged l= l if one end is fixed and other is hinged l= l/root2 if one end fixed other is free l= 2l Hence, in your question, option c is right.
A solid circular compression member 50mm in diameter is to be replaced by a hollow circular section of the same material. Find the size of hollow section if internal diameter is 0.6 times external diameter.
Detailed Solution for Test: Solid Mechanics - Question 4
A hollow alloy tube 5m with external and internal diameters equal to 40mm and 25mm respectively was found to extend by 6.4mm under a tensile load of 60kN. When tube is used as column with both ends pinned, find safe compressive load for tube. (FOS = 4)
Detailed Solution for Test: Solid Mechanics - Question 5
Detailed Solution for Test: Solid Mechanics - Question 6
Young's modulus is a measure of the stiffness of an elastic material, and it is defined as the ratio of stress to strain. Rocks with low Young's modulus tend to be ductile and rocks with high Young's modulus tend to be brittle.
Hollow C.I. column whose outside diameter is 200mm has thickness of 20mm. It is 7.5m long and is fixed at both ends. Find the ratio of Euler’s and Rankine’s critical loads. For C.I., σc = 550N/mm2, α = 1/1600, E = 8 × 104 N/mm2
Detailed Solution for Test: Solid Mechanics - Question 7
Vessel in the shape of spherical shell 800mm in diameter, 10mm shell thickness is completely filled with a fluid at atmospheric pressure. Additional fluid is then pumped in till pressure increases by 5 N/mm2. Find volume of this additional fluid.
μ= 0.25, E = 2 × 105 N/mm2
Detailed Solution for Test: Solid Mechanics - Question 10
A hollow shaft is to transmit 300kW at 80rpm. If shear stress is not to exceed 60 N/mm2 and internal diameter is 0.6 of the external diameter, find external and internal diameters assuming maximum torque is 1.4 times the
Detailed Solution for Test: Solid Mechanics - Question 12
A cast iron test beam 20mm × 20mm in section and 1m long and supported at the end fails when a central load of 640 N is applied.
What uniformily distributed load will break a cantilever of the same material 50mm wide, 100mm deep and 2m long?
Detailed Solution for Test: Solid Mechanics - Question 13
A 3m high pole stands as a vertical cantilever fixed at its base. It has to support a horizontal load of 10kN at its top. Find the minimum diameter required if the pole is of wood, if the permissible bending stress is 15N/mm2
Detailed Solution for Test: Solid Mechanics - Question 15
A steel beam of solid circular section 25mm in diameter and length 1m is simply supported at both ends, and is loaded by its own weight only. If steel weights at 77000 N/m3, what is the length of the beam at which it just starts yeilding. Take Yeild stress = 207N/mm2
Detailed Solution for Test: Solid Mechanics - Question 16
Two planes AB and BC which are at right angles carry shear stresses of intensity 17.5 N/mm2 while these
planes also carry tensile stress of 70 N/mm2 and compressive stress of 35N/mm2 respectively. Position of
principal planes is given as:-
Detailed Solution for Test: Solid Mechanics - Question 17
Brass rod 20mm in diameter is subjected to tensile load of 40 kN. Extension of rod measured with extension meter is found to be 254 divisions in 200mm. If each division is equal to 0.001mm, the elastic modulus of brass is :-
Detailed Solution for Test: Solid Mechanics - Question 22
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