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A continuous and aligned carbon-fiber composite consists of 25 vol. % of fibers in an epoxy matrix. The Young’s modulus of fiber and matrix, respectively are Ef = 250 GPa and Em = 2.5 GPa. If the composite is subjected to longitudinal loading (iso-strain condition and assuming elastic response), the fraction of load borne by the reinforcement is ________ (to two decimal places) . Gate-2018-General-Aptitude
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G lass fibers in nylon provide reinforcement. The modulus of elasticity for each component of the composite is; Eglass = 10.5 x 106 psi; Enylon = 0.4 x 106 psi. If the nylon contains 30 vol % E-glass, the fraction of the applied force is carried by the glass fiber is__________. (Assume that both glass fiber and nylon have equal strain).
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A unidirectionally aligned carbon fibre reinforced epoxy composite is loaded as shown in the figure. The volume fraction of the fibre is 0.6. The Young’s modulus of the composite is ____________ GPa.
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Boron fibres E=380GPa are made into a composite with aluminium matrix E=60GPa. What is the modulus of the composite parallel the fibre axis if the composite has 60 fibres?
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Which one of the following statements is NOT CORRECT? -gate Geology & Geophysics 2017
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For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5×10-4 . The curvature in the beam cross-section (in m1 , round off to 3 decimal places), is __________
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A box contains 100 balls of same size, of which, 25 are black and 75 are white. Out of 25 black balls, 5 have a red dot. A trial consists of randomly picking a ball and putting it back in the same box, i.e., sampling is done with replacement. Two such trials are done. The conditional probability that no black ball with a red dot is picked given that at least one black ball is picked, is __________. Gate-2018-General-Aptitude
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At a particular temperature, the vapour pressure of benzene and toluene are 4 atm and 1.2 atm, respectively. Gate-2018-General-Aptitude
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(Gate 2018 Mechanical engineering)A steel column of rectangular section (15 mm × 10 mm) and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E = 200 GPa for steel, the critical axial load (in kN) is ____
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A well is drilled with water based mud. The water saturation in the completely flushed zone (no formation fluid residual) is given by, Gate-2018-General-Aptitude
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The uniaxial stress-strain behavior of a rock sample is shown in the figure. The elastic modulus E is 20,000 MPa. If p  is the plastic strain, the value of the damage parameter D (rounded off to two decimal place) is _________.
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A tensile test is performed on a metallic specimen of diameter 8 mm and gauge length 50 mm. When the tensile load P reaches a value of 20 kN, the distance between the gauge marks increases by 0.09 mm. If the sample remains within the elastic limit, the modulus of elasticity (in GPa) of the test metal is………..[up to two decimal places]
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A composite circular shaft is comprised of a steel core surrounded by an aluminum annulus, perfectly bonded to each other as shown in the fi gure. If it subjected to a pure torque, which one of the following statements is TRUE? GATE-
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Let X be a random variable following the binomial distribution. If E(X) = 2 and Var(X) = 1.2 , then P(X = 2) , accurate to three decimal places, is equal to ________. GATE-2018-General-Aptitude
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Using the trapezoidal rule with two equal intervals (n = 2, Δx = 1), the definite integral ∫ 1 ln(x) 4 2 dx =______________ (to two decimal places). Gate-2018-General-Aptitude
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Which of the following statements are TRUE ? GATE- Chemical Engineering- 2013
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The constraint A^2 = A on any square matrix A is satisfied for -GATE-Aerospace Engineering-Question-2012
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A squar matrix aij=aji for all i and j then it is called:
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Consider the matrix A = I9 − 2u T u with u = 1 3 [1, 1, 1, 1, 1, 1, 1, 1, 1], where I9 is the 9 × 9 identity matrix and u T is the transpose of u. If λ and μ are two distinct eigenvalues of A, then |λ − μ| = (Gate 2018 engineering mathematics)
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Consider 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.
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Notes

VTU SYLLABUS 2010 STRENGTH OF MATERIALS (COMMON TO CV/TR/EV/CTM) [10CV33] Engineering.

Carbon Iron Optics

CE2351 STRUCTURAL ANALYSIS II

CE 2404 PRESTRESSED CONCRETE STRUCTURE

10me34 Mechanics of materials

CE2201 MECHANICS OF SOLIDS

CE2049 SMART STRUCTURES AND SMART MATERIALS | ANNA UNIVERSITY BE CIVIL ENGINEERING 8th SEMESTER SYLLABUS 2008 REGULATION

Gate-2018-General-Aptitude

CE2252 STRENGTH OF MATERIALS

CE2257 STRENGTH OF MATERIALS LABORATORY