Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 12, Problem 17CQ
To determine
The band formed by buckling of fibers in unison when fiber reinforced composite material is compressed along fiber axis.
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A steel bar and an aluminum bar are bonded together as shown to form a composite beam. Knowing that the vertical shear in the beam is 4 kips and that the modulus of elasticity is 29 * 106 psi for the steel and 10.6 *106 psi for the aluminum, determine (a) the aver-age shearing stress at the bonded surface, (b) the maximum shearing stress in the beam.
A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given in the
table, determine the largest permissible bending moment when the composite bar is bent about a vertical axis. Take x = 30 mm.
Modulus of elasticity
Allowable stress
Aluminum
Aluminum
70 GPa
100 MPa
10 mm
Brass-
10 mm
40 mm-
Brass
105 GPa
160 MPa
10 mm
X
10 mm
t
The largest permissible bending moment when the composite bar is bent about a vertical axis is 1.689 kN-m.
The following are functions of a matrix, EXCEPT:
Subjects the fibers, which carry most of the load, to stresses
Reduces the propagation of cracks in the composíte
O Subjects the fibers from physical damage and the environment
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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- Composite _________ is produced by laying fibers in random directions in a plane.arrow_forwardA bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given in the table, determine the largest permissible bending moment when the composite bar is bent about a vertical axis. Take x = 30 mm. Modulus of elasticity Allowable stress Aluminum Brass Aluminum 70 GPa 100 MPa 10 mm 10 mm 40 mm- Brass 105 GPa 160 MPa 10 mm X 10 mm The largest permissible bending moment when the composite bar is bent about a vertical axis is 1.689 kN.m.arrow_forwardThe 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_forward
- A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given in the table, determine the largest permissible bending moment when the composite bar is bent about a horizontal axis. Take x = 32 mm. Modalus of elasticity Allowable stress Aluminum Brass Aluminum 70 GPa 100 MPa 10 mm 10 mm Brass 105 GPa 160 MPa 10 mm mm 10 mm The largest permissible bending moment when the composite bar is bent about a horizontal axis is [ kN-m.arrow_forwardWhen looking up data for composite materials, it is important to: a.)Make sure the volume fraction of the fibres is specified b.)The orientation of each fibre layer is specified c.)The type of resin/matric is specified d.)All of the abovearrow_forwardComposite materials can be reinforced with: a.)Fibres b.)Whiskers c.)Particles d.)All of the abovearrow_forward
- Name three functions of the matrix phase in fiber-reinforced composites.State the reason for the need for a strong bond between the fibers and the matrix.arrow_forward1. Three metal strips, each 40 mm height, are bonded together to form the composite beam shown. The modulus of elasticity is 210 GPa for the steel, 105 GPa for the brass, and 70 GPa for the aluminium. If the allowable bending stress for the aluminum (Gallow)al= 100 MPa, for the steel (Gallow)s=150 MPa and (Gallow)b= 200 MPa for brass determine the maximum allowable intensit of w of the uniform distributed load. 2w Aluminum 2w 10 mm Brass 10 mm Steel 20 mm 2m - 40 mmarrow_forwardA bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Taking h= 9 mm and using the data given below, determine the largest permissible bending moment when the composite bar is bent about a horizontal axis. Brass Aluminum 30 mm Modulus of elasticity Allowable stress h 30 mm h Aluminum 70 GPa 100 MPa The largest permissible bending moment is Brass 105 GPa 160 MPa 1.17 kN-m.arrow_forward
- ASAParrow_forwardList three composite materials that make advantage of covalent and ionic bonding. Each material has three materials.arrow_forwardfor a fiber reinforced composite material, assume Fibre's volume fraction is 0.3. what is the effective tensile strength of the composite if the strength of fiber is 150GPa and that of matrix is 16GPaarrow_forward
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