MCQOPTIONS
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MCQOPTIONS
This section includes 427 Mcqs, each offering curated multiple-choice questions to sharpen your Materials Science knowledge and support exam preparation. Choose a topic below to get started.
| 251. |
Plastic strain is generally ______ times the elastic strain. |
| A. | 2 to 4 |
| B. | 5 to 10 |
| C. | 10 to 15 |
| D. | 20 to 25 |
| Answer» D. 20 to 25 | |
| 252. |
A rod of length L, cross-section area A1 and modulus of elasticity E1, has been placed inside a tube of length L, of cross-section area A2 and modulus of elasticity E2, and the two are firmly held by end plates. The portion of the load P applied on the end plates shared by rod and tube, respectively, are |
| A. | \(\frac{{P{A_1}{E_1}}}{{{A_1}{E_1} + {A_2}{E_2}}}\;and\frac{{P{A_2}{E_2}}}{{{A_1}{E_1} + {A_2}{E_2}}}\) |
| B. | \(\frac{{P{A_2}{E_2}}}{{{A_1}{E_1} + {A_2}{E_2}}}\;and\frac{{P{A_1}{E_1}}}{{{A_1}{E_1} + {A_2}{E_2}}}\) |
| C. | \(\frac{{P{A_1}{E_1}}}{{{A_1}{E_1} + {A_2}{E_1}}}\;and\frac{{P{A_2}{E_2}}}{{{A_1}{E_2} + {A_2}{E_2}}}\) |
| D. | \(\frac{{P{A_1}{E_1}}}{{{A_1} + {A_2}}}\;and\frac{{P{A_2}{E_2}}}{{{A_1} + {A_2}}}\) |
| Answer» B. \(\frac{{P{A_2}{E_2}}}{{{A_1}{E_1} + {A_2}{E_2}}}\;and\frac{{P{A_1}{E_1}}}{{{A_1}{E_1} + {A_2}{E_2}}}\) | |
| 253. |
A body having similar properties throughout its volume is said to be |
| A. | Homogenous |
| B. | Isotropic |
| C. | Continuous |
| D. | Anisotropic |
| Answer» B. Isotropic | |
| 254. |
A chain, working a crane, has sectional area of 625 mm2 and transmits a load of 10 kN. When the load is being lowered at a uniform rate of 40 m/min, the chain gets jammed suddenly at which time the length of the chain unwound is 10 m. Assuming E = 200 GPa, the stress induced in the chain due to this sudden jamming is |
| A. | 100.6 N/mm2 |
| B. | 120.4 N/mm2 |
| C. | 140.2 N/mm2 |
| D. | 160.0 N/mm2 |
| Answer» C. 140.2 N/mm2 | |
| 255. |
In a plane stress problem1. normal stress in the third direction is zero2. strain in the third direction is zero3. strain in all directions is present4. normal stresses in all directions are presentThe correct answer is |
| A. | 1 and 4 |
| B. | 2 and 4 |
| C. | 1 and 3 |
| D. | 2 and 3 |
| Answer» D. 2 and 3 | |
| 256. |
For an element under the effect of bi-axial state of normal stress, the normal stresses on a 45° plane is equal to |
| A. | Sum of Normal Stresses |
| B. | Half of the Sum of Normal Stress |
| C. | Difference of Normal Stress |
| D. | Half of the difference of Normal Stress |
| Answer» C. Difference of Normal Stress | |
| 257. |
At a point in the web of a girder, the bending and the shearing stresses are 90N/mm2 (tensile) and 45 N/mm2 respectively. The principal stresses are |
| A. | 108.64 N/mm2 (tensile) and 18.64 N/mm2 (compressive) |
| B. | 107.60 N/mm2 (compressive) and 18.64 N/nn2 (tensile) |
| C. | 108.64 N/mm2 (compressive) and 18.64 N/mm2 (tensile) |
| D. | 0.64 N/mm2 (tensile) and 0.78/mm2 (compressive) |
| Answer» B. 107.60 N/mm2 (compressive) and 18.64 N/nn2 (tensile) | |
| 258. |
A rod of dimension 20 mm x 20 mm is carrying an axial tensile load of 10 kN. The tensile stress developed is ________. |
| A. | 0.025 MPa |
| B. | 0.25 MPa |
| C. | 25 MPa |
| D. | 250 MPa |
| Answer» D. 250 MPa | |
| 259. |
A two dimensional fluid element rotates like a rigid body. At a point within the element, the pressure is 1 unit. Radius of the Mohr’s circle, characterizing the state of stress at that point, is |
| A. | 0.5 unit |
| B. | 0 unit |
| C. | 1 unit |
| D. | 2 unit |
| Answer» C. 1 unit | |
| 260. |
Endurance limit of steel is associated with _________ number of cycles in fatigue loading. |
| A. | low |
| B. | infinite |
| C. | limited |
| D. | 1000 |
| Answer» C. limited | |
| 261. |
A metal bar of the variable cross-section as shown and length is subjected to 1000 kN of force. The area of the 1 m long section is 10000 mm2 and that of the 500 mm long section is 5000 mm2. Assuming the elastic modulus of 200 GPa, the total elongation of the bar will be |
| A. | 2.5 mm |
| B. | 0.025 mm |
| C. | 0.25 mm |
| D. | 25 mm |
| E. | 1.5 mm |
| Answer» B. 0.025 mm | |
| 262. |
A plate in equilibrium is subjected to uniform stresses along its edges with magnitude σxx = 30 MPa and σyy = 50 MPa as shown in the figure.The Young’s modulus of the material is 2 × 1011 N/m2 and the Poisson’s ratio is 0.3. If σzz is negligibly small and assumed to be zero, then the strain εzz is |
| A. | -120 × 10-6 |
| B. | – 60 × 10-6 |
| C. | 0.0 |
| D. | 120 × 10-6 |
| Answer» B. – 60 × 10-6 | |
| 263. |
Match list - I with list - II and select the correct answer using the codes below:List - IA. DuctilityB. BrittlenessC. TenacityD. ToughnessList - II1. Failure without warning2. Drawn permanently over great changes of shape without rupture.3. Absorption of energy at high stress without rupture.4. High tensile strength |
| A. | A – 1, B – 2, C – 4, D - 3 |
| B. | A – 1, B – 2, C – 3, D - 4 |
| C. | A – 2, B – 3, C – 4, D - 1 |
| D. | A – 2, B – 1, C – 4, D - 3 |
| Answer» E. | |
| 264. |
Principle stresses of 100 kPa (tension) act on two mutually perpendicular faces of a rectangular two dimensional element. The normal stress on a 45° plane of the element is equal to |
| A. | zero |
| B. | 100 Pa |
| C. | 100 \(\sqrt 2\) Pa |
| D. | 100/ \(\sqrt 2\) Pa |
| Answer» C. 100 \(\sqrt 2\) Pa | |
| 265. |
At a point in a material, the stresses acting on two planes at right angles to each other are σz = 120 MPa and σy = -200 MPa and τzy = - 80 MPa. The maximum shear stress on the element will be nearly |
| A. | 142 MPa |
| B. | 155 MPa |
| C. | 167 MPa |
| D. | 179 MPa |
| Answer» E. | |
| 266. |
In a tensile testing experiment on a specimen of 1 cm2 area, the maximum load observed was 5 tonnes and neck area 0.25 cm2. The ultimate tensile strength of specimen is |
| A. | 2.5 tonnes/cm2 |
| B. | 10 tonnes/cm2 |
| C. | 5 tonnes/cm2 |
| D. | 20 tonnes/cm2 |
| Answer» D. 20 tonnes/cm2 | |
| 267. |
A thin mild steel wire is loaded by adding loads in equal increments till it breaks. The extensions noted with increasing loads will behave as under:- |
| A. | uniform throughout |
| B. | increase uniformly |
| C. | first increase and then decrease |
| D. | increase uniformly first and then increase rapidly |
| Answer» E. | |
| 268. |
At a point in a strained material, if two mutually perpendicular tensile stresses of 200 N / mm2 and 100 N / mm2 is acting, then what will be the intensity of tangential stress on a plane inclined at 15° to the axis of the minor stress? |
| A. | 12.5 N / mm2 |
| B. | 25 N / mm2 |
| C. | 350 N / mm2 |
| D. | 300 N / mm2 |
| Answer» C. 350 N / mm2 | |
| 269. |
At a point in a two dimensional stress system, the normal stress on two mutually perpendicular planes are σxx and σyy and shear stress is τxy. One of the principal stresses will become zero when the value of shear stress τxy is |
| A. | ± (σxxσyy) |
| B. | \( \pm \sqrt {{\sigma _{xx}} - {\sigma _{yy}}} \) |
| C. | \( \pm \sqrt {{\sigma _{xx}} + {\sigma _{yy}}} \) |
| D. | \( \pm \sqrt {{\sigma _{xx}}{\sigma _{yy}}} \) |
| Answer» E. | |
| 270. |
In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to |
| A. | Yield stress |
| B. | Proportional limit |
| C. | Maximum stress |
| D. | Fracture stress |
| Answer» D. Fracture stress | |
| 271. |
_______ is the capacity of material to absorb energy when it is elastically deformed and then upon unloading, to have this energy recovered. |
| A. | Toughness |
| B. | Tensile strength |
| C. | Plasticity |
| D. | Resilience |
| Answer» E. | |
| 272. |
If a part is constrained to move and heated, it will develop |
| A. | Principal stress |
| B. | Tensile stress |
| C. | Compressive stress |
| D. | Shear stress |
| Answer» D. Shear stress | |
| 273. |
Principal plane is one which carries ________. |
| A. | No shear stress |
| B. | Maximum shear stress |
| C. | No normal stress |
| D. | Maximum resultant of stresses |
| Answer» B. Maximum shear stress | |
| 274. |
A 50 mm × 10 mm × 4 mm copper bar, free to expand, is heated from 20°C to 50°C, what shall be developed? |
| A. | shear stress |
| B. | tensile stress |
| C. | no stress |
| D. | compressive stress |
| Answer» D. compressive stress | |
| 275. |
A cylindrical specimen of steel having an original diameter of 12.8 mm is tensile tested to fracture and found to have engineering fracture strength σf of 460 MPa. If its cross-sectional diameter at fracture is 10.7 mm, the true stress at fracture will be |
| A. | 660 MPa |
| B. | 645 MPa |
| C. | 630 MPa |
| D. | 615 MPa |
| Answer» B. 645 MPa | |
| 276. |
If P is the weight of a prismatic bar and L is its length, what is the deflection of the bar due to self weight if AE is the Axial Rigidity: ______. |
| A. | PL/AE |
| B. | 2PL/AE |
| C. | PL/8E |
| D. | PL/2AE |
| Answer» E. | |
| 277. |
In two dimensional stress-strain analysis, the shear strain component (γxy) along the xy plane is written as ________. |
| A. | \({\gamma _{xy}} = \left( {\frac{{\partial u}}{{\partial x}}} \right) + \left( {\frac{{\partial v}}{{\partial y}}} \right)\) |
| B. | \({\gamma _{xy}} = \left( {\frac{{\partial u}}{{\partial x}}} \right) - \left( {\frac{{\partial v}}{{\partial y}}} \right)\) |
| C. | \({\gamma _{xy}} = \left( {\frac{{\partial u}}{{\partial y}}} \right) + \left( {\frac{{\partial v}}{{\partial x}}} \right)\) |
| D. | \({\gamma _{xy}} = \left( {\frac{{\partial u}}{{\partial y}}} \right) - \left( {\frac{{\partial v}}{{\partial x}}} \right)\) |
| Answer» D. \({\gamma _{xy}} = \left( {\frac{{\partial u}}{{\partial y}}} \right) - \left( {\frac{{\partial v}}{{\partial x}}} \right)\) | |
| 278. |
A cantilever beam of length L and flexural modulus EI is subjected to a point load P at the free end. The elastic strain energy stored in the beam due to bending (neglecting transverse shear) is |
| A. | \(\frac{{{P^2}{L^3}}}{{6EI}}\) |
| B. | \(\frac{{{P^2}{L^3}}}{{3EI}}\) |
| C. | \(\frac{{P{L^3}}}{{3EI}}\) |
| D. | \(\frac{{P{L^3}}}{{6EI}}\) |
| E. | \(\frac{{{P^2}{L^3}}}{{8EI}}\) |
| Answer» B. \(\frac{{{P^2}{L^3}}}{{3EI}}\) | |
| 279. |
If a constant section beam is subjected to uniform bending moment throughout, it bends as - |
| A. | zig zag |
| B. | a catenary |
| C. | a circular arc |
| D. | a parabolic arc |
| Answer» D. a parabolic arc | |
| 280. |
An element of a certain material in plane strain has εx = 800 x 10-6εy = 400 x 10-6γxy = 300 x 10-6What is the maximum shearing strain? |
| A. | 150 x 10-6 |
| B. | 355 x 10-6 |
| C. | 250 x 10-6 |
| D. | 500 x 10-6 |
| Answer» E. | |
| 281. |
A tube of aluminium of 40 mm external diameter and 20 mm internal diameter is snugly fitted on a solid steel rod of 20 mm diameter. The composite bar is subjected to an axial compressive force P. If the stress on steel bar is 70 N/mm2, the stress in the aluminium tube and corresponding value of P will be: (E for steel: 2 × 105 N/mm2 and E for aluminium 7 × 104 N/mm2) |
| A. | 24.5 N/mm2, 45.08 kN |
| B. | 36.5 N/mm2, 60.10 kN |
| C. | 54.5 N/mm2, 73.10 kN |
| D. | 73.80 N/mm2, 92.60 kN |
| Answer» B. 36.5 N/mm2, 60.10 kN | |
| 282. |
A prismatic bar has |
| A. | maximum ultimate strength |
| B. | maximum yield strength |
| C. | varying cross-section |
| D. | uniform cross-section |
| Answer» E. | |
| 283. |
In a stress-strain plot, the following points appear:a) Limit of proportionality, b) Elastic limit, c) Yield point, d) Ultimate strength and e) Point of ruptureThe correct sequence of occurrence of these points is |
| A. | a - b - c - d - e |
| B. | e - d c - b - a |
| C. | a - c - c - d - e |
| D. | b - a - c - d - e |
| E. | a - e - d - b - c |
| Answer» B. e - d c - b - a | |
| 284. |
A prismatic bar has a cross-section of 25 mm by 50 mm and a length of 2000 mm. Under an axial load of 100 kN, the measured elongation of the bar is 2mm. The tensile stress and % strain in the bar are |
| A. | 80 MPa and 0.1% |
| B. | 0.08 GPa and 1.0% |
| C. | 80 N/mm2 and 1% |
| D. | 800 MPa and 0.01% |
| E. | 8 kN/mm2 and 0.001% |
| Answer» B. 0.08 GPa and 1.0% | |
| 285. |
For an isotropic, homogeneous and elastic material obeying Hook's law, number of independent elastic constants is |
| A. | 21 |
| B. | 9 |
| C. | 3 |
| D. | 2 |
| Answer» E. | |
| 286. |
For ductile materials, the largest value of tensile stress that can be sustained by material before breaking is known as: |
| A. | Yield strength |
| B. | Ultimate tensile strength |
| C. | Modulus of elasticity |
| D. | Toughness |
| Answer» C. Modulus of elasticity | |
| 287. |
A mild steel bar of length 450 mm tapers uniformly. The diameters at the ends are 36 mm and 18 mm, respectively. An axial load of 12kN is applied on the bar. E = 2 × 105 N/mm2. The elongation of the bar will be |
| A. | \(\frac{1}{{3\pi }}mm\) |
| B. | \(\frac{1}{{6\pi }}mm\) |
| C. | \(\frac{{3\pi }}{2}mm\) |
| D. | \(\frac{2}{{3\pi }}mm\) |
| Answer» C. \(\frac{{3\pi }}{2}mm\) | |
| 288. |
For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.The shear stress τ is |
| A. | 10.0 MPa |
| B. | 5.0 MPa |
| C. | 2.5 MPa |
| D. | 0.0 MPa |
| Answer» C. 2.5 MPa | |
| 289. |
________ is a mechanical property of linear elastic solid materials which defines the relationship between stress and strain in a material. |
| A. | Poisson’s ratio |
| B. | Lateral modulus |
| C. | Bulk modulus |
| D. | Young’s modulus |
| Answer» E. | |
| 290. |
A material has identical properties in all directions, it is said to be |
| A. | Homogeneous |
| B. | Isotropic |
| C. | Anisotropic |
| D. | Orthotropic |
| Answer» C. Anisotropic | |
| 291. |
For copper, the yield stress σy and the brittle fracture stress σf are related as: |
| A. | σf > σy |
| B. | σy > σf |
| C. | σf = σy |
| D. | σf ≪ σy |
| Answer» B. σy > σf | |
| 292. |
A 58 kN compressive load is applied to a 7 cm diameter, 2 cm tall, aluminum cylinder. Calculate the value of stress in MPa. |
| A. | 20.80 MPa |
| B. | 16.50 MPa |
| C. | 15.08 MPa |
| D. | 20.08 MPa |
| Answer» D. 20.08 MPa | |
| 293. |
For the state of stress shown in the following figure, if Mohr's circle is to be plotted. If the diameter of the Mohr's circle is d and the principal stresses are p and q (magnitudes only), the values of d, p & q (in MPa units) respectively are |
| A. | 50, 70, 30 |
| B. | 100, 70, 30 |
| C. | 90, 70, 30 |
| D. | 100, 100, 30 |
| E. | 100, 40, 0 |
| Answer» C. 90, 70, 30 | |
| 294. |
A 10 inch long silver wire is stretched to a total length of 11.50 inches. Find the value of strain. |
| A. | 0.015 |
| B. | 0.15 |
| C. | 0.25 |
| D. | 0.025 |
| Answer» C. 0.25 | |
| 295. |
A copper rod 3 mm in diameter when subjected to a pull of 495 N extends by 0.07 mm over a gauge length of 100 mm. The Youngs Modulus for copper will be |
| A. | 1 × 105 N / mm2 |
| B. | 1 × 106 N / mm2 |
| C. | 7 × 105 N / mm2 |
| D. | 1 × 107 N / mm2 |
| Answer» B. 1 × 106 N / mm2 | |
| 296. |
Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of 100 MPa along the length direction. Assume plane stress conditions in the plane normal to the thickness. The Young’s modulus E = 200 MPa and Poisson’s ratio ν = 0.3 are given. The principal strains in the plane of the sheet are |
| A. | (0.35, −0.15) |
| B. | (0.5, 0.0) |
| C. | (0.5, −0.15) |
| D. | (0.5, −0.5) |
| Answer» D. (0.5, −0.5) | |
| 297. |
A bar of length ‘L' meters extends by ‘l' mm under a tensile force of ‘P’. The strain produced in the bar is |
| A. | l/L |
| B. | 0.1 l/L |
| C. | 0.01 l/L |
| D. | 0.001 l/L |
| Answer» E. | |
| 298. |
A bar having a cross-sectional area of 700 mm2 is subjected to axial loads at the positions indicated. The value of stress in the segment QR is |
| A. | 40 MPa |
| B. | 50 MPa |
| C. | 70 MPa |
| D. | 120 MPa |
| Answer» B. 50 MPa | |
| 299. |
A solid uniform metal bar of diameter D mm and length l mm hangs vertically from its upper end. The density of the material is ρ N/mm3 and its modulus of elasticity is E N/mm2. The total extension of the rod due to its own weight would be |
| A. | \(\frac{{\rho {l^2}}}{{2E}}\) |
| B. | \(\frac{{\rho l}}{{2E}}\) |
| C. | \(\frac{{\rho l}}{{4E}}\) |
| D. | \(\frac{{\rho {l^2}}}{{4E}}\) |
| Answer» B. \(\frac{{\rho l}}{{2E}}\) | |
| 300. |
A cantilever beam AB of length L and uniform flexural rigidity E has a bracket AC attached to its free end shown in figure. Vertical load is applied to free end C of the bracket. In order that the deflection of point A to be zero the ratio a/L should be |
| A. | ½ |
| B. | 1/3 |
| C. | ¼ |
| D. | 2/3 |
| Answer» E. | |