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A body starts yielding when it is subjected to a stress state with principal stresses of 250 MPa, 50 MPa and −50 MPa. What is the yield strength of the material, in MPa, if Tresca yield criterion is obeyed? (-Gate metallurgical engineering 2014)1 AnswerA plane-strain compression (forging) of a block is shown in the figure. The strain in the z-direction is zero. The yield strength (Sy) in uniaxial tension/compression of the material of the block is 300 MPa and it follows the Tresca (maximum shear stress) criterion. Assume that the entire block has started yielding. At a point where 40 MPa (compressive) and 0, x xy the stress component y is0 AnswerA bar is subjected to a combination of a steady load of 60 kN and a load fluctuating between10 kN and 90 kN. The corrected endurance limit of the bar is 150 MPa, the yield strength of the material is 480 MPa and the ultimate strength of the material is 600 MPa. The bar cross-section is square with side a. If the factor of safety is 2, the value of a (in mm), according to the modified Goodman’s criterion, is ________ (correct to two decimal places).1 AnswerIn the structure shown in the figure, bars AB and BC are made of identical material and have circular cross-sections of 10 mm radii. The yield stress of the material under uniaxial tension is 280 MPa. Using the von Mises yield criterion, the maximum load along the z- direction (perpendicular to the plane of paper) that can be applied at C, such that AB does not yield is _____ N (round off to the nearest integer).0 AnswerAt a critical point in a component, the state of stress is given as 100MPa xx , 220MPa yy , 80MPa xy yx and all other stress components are zero. The yield strength of the material is 468 MPa. The factor of safety on the basis of maximum shear stress theory is ______ (round off to one decimal place).0 AnswerA steel rod was subjected to a fluctuating stress cycle that varied between a maximum of 400 MPa in tension to a minimum of 300 MPa in compression. What is the stress amplitude, in MPa?______. (-Gate metallurgical engineering 2014)1 AnswerL ength, width and thickness of a plate are 400 mm, 400 mm and 30 mm, respectively. For the material of the plate, Young’s modulus of elasticity is 70 GPa, yield stress is 80 MPa and Poisson’s ratio is 0.33. When the plate is subjected to a longitudinal tensile stress of 70 MPa, the increase in the volume (in mm3) of the plate is ______0 AnswerIn the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to1 Answer(Gate 2018 Mechanical engineering) The state of stress at a point, for a body in plane stress, is shown in the figure below. If the minimum principal stress is 10 kPa, then the normal stress y (in kPa) is 0 AnswerA circular steel bar of diameter 10 mm is bent into the shape as shown in figure and lies x z plane A horizontal force P applied along positive direction The yield strength 200 MPa Neglecting effect transverse shear load Newton required to initiate yielding per maximum stress theory failure is : up two decimal places..0 AnswerA circular steel bar of diameter 10 mm is bent into the shape as shown in figure, and lies in x-z plane. A horizontal force P is applied along the positive z-direction as shown. The yield strength of the steel is 200 MPa. Neglecting the effect of transverse shear, the load P (in Newton) required to initiate yielding as per maximum shear stress theory of failure is............[up to two decimal places]0 AnswerMatch the following:0 AnswerA single crystal of aluminium is subjected to 10 MPa tensile stress along the [321] crystallographic direction. The resolved shear stress on the (111̅ ) [101] slip system is ______ (in MPa to two decimal places)0 AnswerA spherical pressure vessel (made of mild steel) of internal diameter 500 mm and thickness 10 mm is subjected to an internal gauge pressure of 4000 kPa. If the yield stress of mild steel is 200 MPa, the factor of safety (up to one decimal place) is ______0 AnswerIn stress strain curve of mild steel Ultimate Tensile Stress is1 AnswerIf 1 and 3 are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is (Gate 2018 Mechanical Engineering)0 AnswerIn a structural member under fatigue loading, the minimum and maximum stresses developed at the critical point are 50 MPa and 150 MPa, respectively. The endurance, yield, and the ultimate strengths of the material are 200 MPa, 300 MPa and 400 MPa, re1 AnswerIn a linearly hardening plastic material, the true stress beyond initial yielding (gate 2018 Mechanical engineering)0 AnswerWhat is the theoretical requirement of air (in m3 at STP) for the complete combustion of 100 m3 (at STP) of a fuel consisting of pure CH4? Assume that air contains 21 vol.% of oxygen. _____. (-Gate metallurgical engineering 2014)1 AnswerConsider the stress-strain curve for an ideal elastic-plastic strain hardening metal as shown in the figure. The metal was loaded in uniaxial tension starting from O. Upon loading, the stress-strain curve passes through initial yield point at P, and then strain hardens to point Q, where the loading was stopped. From point Q, the specimen was unloaded to point R, where the stress is zero. If the same specimen is reloaded in tension from point R, the value of stress at which the material yields again is _________ MPa.0 Answer
Notes
CE2201 MECHANICS OF SOLIDSVTU SYLLABUS 2010 STRENGTH OF MATERIALS (COMMON TO CV/TR/EV/CTM) [10CV33] Engineering.CE 2035 ROCK ENGINEERINGCE2252 STRENGTH OF MATERIALSGate Metallurgical Engineering 2014 10me34 Mechanics of materialsCE 2404 PRESTRESSED CONCRETE STRUCTURECE2028 GROUND WATER ENGINEERINGCE2257 STRENGTH OF MATERIALS LABORATORYGATE- Metallurgical Engineering- 2013
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A body starts yielding when it is subjected to a stress state with principal stresses of 250 MPa, 50 MPa and −50 MPa. What is the yield strength of the material, in MPa, if Tresca yield criterion is obeyed? (-Gate metallurgical engineering 2014)
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