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In a linearly hardening plastic material, the true stress beyond initial yielding (gate 2018 Mechanical engineering)0 AnswerThe true stress (σ) - true strain ( ) diagram of a strain hardening material is shown in figure. First, there is loading up to point A, i.e., up to stress of 500 MPa and strain of 0.5. (Gate 2018 Mechanical engineering)0 AnswerThe maximum reduction in cross-sectional area per pass ( R ) of a cold wire drawing process is ( 1) 1 , n R e where n represents the strain hardening coefficient. For the case of a perfectly plastic material, R is (Gate 2018 Mechanical engineering)0 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 AnswerThe true stress (in MPa) versus true strain relationship for a metal is given by (Gate 2018 Mechanical engineering)1 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 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 cantilever beam having a rectangular cross-section of width 60 mm and depth 100 mm, is made of aluminum alloy. The material mechanical properties are: Young’s modulus, E = 73 GPa and ultimate stress, 𝜎𝑢=480 MPa. Assuming a factor of safety of 4, the maximum bending moment (in kN-m) that can be applied on the beam is _____ (accurate to one decimal place). (GATE-Aerospace-Engineering-2018)1 AnswerA metallic rod of diameter 0 d is subjected to the tensile test. The engineering stress and the true stress at fracture are 800 MPa and 900 MPa, respectively. The ratio of the rod diameter at fracture f d to the initial diameter 0 d is ______ (round off to 2 decimal places)0 AnswerAs compared to the engineering stress-engineering st rain curve, the true stress-true strain curve for a given material, GATE- Metallurgical Engineering- 20131 AnswerFatigue life of a material for a fully reversed loading condition is estimated from (Gate 2018 Mechanical engineering)1 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 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 circular hole of 25 mm diameter and depth of 20 mm is machined by EDM process. The material removal rate (in mm3 /min) is expressed as (Gate 2018 Mechanical engineering)0 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 AnswerT he ideal plastic work involved in extruding a cylindrical billet of length 100 mm, from an initial diameter of 20 mm to a final diameter of 16 mm is __________ (in J to one decimal place).1 AnswerA steel wire is drawn from an initial diameter (di) of 10 mm to a final diameter (df) of 7.5 mm. The half cone angle () of the die is 5 and the coefficient of friction () between the die and the wire is 0.1. (Gate 2018 Mechanical engineering)0 AnswerA simply supported beam of width 100 mm, height 200 mm and length 4 m is carrying a uniformly distributed load of intensity 10 kN/m. The maximum bending stress (in MPa) (Gate 2018 Mechanical engineering) in the beam is __________0 AnswerTrue stress - true strain behavior of a metal is given by the flow curve equation o=1750e^0.37 , where o is in MPa. The true stress at necking (in MPa, rounded off to the nearest integer) is ___________________.0 AnswerIn an ultrasonic machining (USM) process, the material removal rate (MRR) is plotted as a function of the feed force of the USM tool. With increasing feed force, the MRR exhibits the following behavior Gate-20161 Answer
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