Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 12, Problem 15CQ
To determine
The material to fail under axial loading parallel to the fiber of uniaxial continuous composite material.
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A solid rod of bronze 20 mm in diameter is surrounded by
a fitting steel cylinder of external diameter 28 mm. If the
permissible bending stress in bronze and steel are 100
and 150 N/mm², find the moment of resistance of the
composite section. The Young's modulus for steel may be
taken as 1.75 times that of bronze.
(d) What is the role of surface energies of both matrix and reinforcements in order to enhance
the fracture toughness of the composite?
The composite bar, firmly attached to
unyielding supports, is initially stress free.
What maximum axial load P can be applied
if the allowable stresses are 80 MPa for
aluminum and 144 MPa for steel?
Steel
Aluminum
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E = 70 GPa
A = 1800 mm?
E = 200 GPa
450 mm-
360 mm-
Chapter 12 Solutions
Materials Science And Engineering Properties
Ch. 12 - Prob. 1CQCh. 12 - Prob. 2CQCh. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - Prob. 5CQCh. 12 - Prob. 6CQCh. 12 - Prob. 7CQCh. 12 - Prob. 8CQCh. 12 - Composite _________ is produced by laying fibers...Ch. 12 - Prob. 10CQ
Ch. 12 - Prob. 11CQCh. 12 - Prob. 12CQCh. 12 - Prob. 13CQCh. 12 - Prob. 14CQCh. 12 - Prob. 15CQCh. 12 - Prob. 16CQCh. 12 - Prob. 17CQCh. 12 - Prob. 18CQCh. 12 - Prob. 19CQCh. 12 - Prob. 20CQCh. 12 - Prob. 21CQCh. 12 - Prob. 22CQCh. 12 - Prob. 23CQCh. 12 - Prob. 24CQCh. 12 - Prob. 25CQCh. 12 - Prob. 26CQCh. 12 - Prob. 27CQCh. 12 - Prob. 28CQCh. 12 - Prob. 1ETSQCh. 12 - Prob. 2ETSQCh. 12 - Prob. 3ETSQCh. 12 - Prob. 4ETSQCh. 12 - Prob. 5ETSQCh. 12 - Prob. 6ETSQCh. 12 - Prob. 7ETSQCh. 12 - Prob. 8ETSQCh. 12 - Prob. 9ETSQCh. 12 - Prob. 10ETSQCh. 12 - In Example Problem 12.1, a uniaxial composite...Ch. 12 - Prob. 12.2PCh. 12 - Prob. 12.3PCh. 12 - Prob. 12.4PCh. 12 - Prob. 12.5PCh. 12 - Prob. 12.6PCh. 12 - Estimate the transverse tensile strength of the...Ch. 12 - Prob. 12.8PCh. 12 - Prob. 12.9PCh. 12 - Prob. 12.10PCh. 12 - Prob. 12.11PCh. 12 - Prob. 12.12PCh. 12 - Prob. 12.13PCh. 12 - Prob. 12.14PCh. 12 - Prob. 12.15PCh. 12 - Prob. 12.16PCh. 12 - Prob. 12.17P
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- The composite bar shown is rigidly attached to the two supports. The left portion of the bar is copper, of uniform cross-sectional area 80 c?^2 and length 30 cm. The right portion is aluminum, of uniform cross-sectional area 20 c?2 and length 20 cm. At a temperature of 26℃ the entire assembly is stress free. The temperature of the structure drops and during this process the right support yields 0.025 mm in the direction of the contracting metal. Determine the minimum temperature to which the assembly may be subjected in order that the stress in the aluminum does not exceed 160 MPa. For copper E = 200 GPa, ? = 17x10^-6/℃, and for Aluminum E = 80 GPa, ? = 23x10^-6/℃.arrow_forwardIn Example Problem 12.1, a uniaxial composite material is made into a circular rod Vbith a 1.27-cm diameter from 70 volume percent continuous carbon fibers and 30 volume percent epoxy. The rod is subject to an axial force of 100,000 N. The composite matcrial in Example Problem 12.1 is to be replaced with a less expensive composite made of 70 volume percent continuous E-glass fibers and 30 volume percent epoxy. The elastic moduli are 5 GPa for the epoxy resin and 72.4 GPa fos the E-glass. (a) Compare the elastic modulus, composite strain, fiber and matrix stresses, and density of this composite with the carbon epoxy composite in Example Problem 12.1. Usc the density of UHM carbon, and assume the density of the epoxy is 1.2g/cm3 . (b) Can both the E-glass fiber and matrix withstand the applied force?arrow_forwardStep by step answer pleasearrow_forward
- A ceramic matrix composite contains internal flaws as largeas0.001 cm in length. The plane strain fracture toughness of the composite is 45 MPaVm and the tensile strength is 550 MPa. Will the stress cause the composite to fail before the tensile strength is reached? Assume that f- 1.arrow_forwardIt is necessary to fabricate an aligned and discontinuous carbon fibre-epoxy matrix composite having a longitudinal tensile strength of 1900 MPa using 0.45 volume fraction of fibres. Compute the required fibre fracture strength assuming that the average fibre diameter and length are 8 × 10-3 mm and 3.5 mm, respectively. The fibre-matrix bond strength is 40 MPa, and the matrix stress at fibre failure is 12 MPa. Note that reasonable fibre fracture strength should normally be in the range of ~1.4 GPa – 20 GPa. (Hint: use equations 16.3 for critical fibre length and 16.18 for discontinuous and aligned fibre composites).arrow_forwardurgent all three subpart questionarrow_forward
- 7 Has the same composition at any point? a. Isotropic b. Composite c. Prismatic d. Homogeneous 8. The composite material exhibits elastic properties in one direction different from that in the perpendicular direction. Orthotropic b. Anisotropic Isotropic d. Aeolotropic а. с. Materials having the same properties in all directions. a. Isotropic b. Anisotropic c. Aeolotropic d. Orthotropic 10 The term for the value above which the stress is no longer proportional to the strain. a. Proportional limit b. Plastic Range Rupture Stress d. Elastic Range с.arrow_forwardDo soonarrow_forwardA composite beam is made of two brass [E - 111 GPa] bars bonded to two aluminum [E - 72 GPa] bars, as shown. The beam is subjected to a bending moment of 250 N-macting about the z axis. Using a - 10 mm, b- 65 mm, c- 20 mm, and d- 45 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Aluminum Brass Brass Aluminum Answers: (a) Oa i MPa (b) Oer MPa Save for Later Attempts: 0 of 1 used Submit Answerarrow_forward
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