Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 12, Problem 1ETSQ
To determine
The reinforcing material with the highest strength available for composite.
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4. For the composite block shown, determine (a) the value of h if the portion of the load carried by
the aluminum plates is half the portion of the load carried by the brass core, (b) the total load if
the stress in the brass is 80 Mpa.
P
Rigid end plate
Aluminum Plates
(E=70 GPa)
Brass Core
(E=105 GPa)
40 mm
I
h
60 mm
300 mm
A 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.
A bar having the cross section shown has been formed by securely bonding brass and ahumimum stock. Using the data given
below, determine the largest permissible bending moment when the composite bar is bent about a horizontal axis.
Aluminum
Brass
SO GPa
Moduhus of elasticity
Allowable stress
100 GPa
100 MPa
160 MPa
M =
kN-m
20 mm
20 mm
Aluminum
20 mm
Brass
46 mm
20 mm
46 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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- 1. 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)st 150 MPa and (Gallow)br=200 MPa for brass determine the maximum allowable intensit of w of the uniform distributed load. 2w 2m Aluminum Brass Steel 40 mm- 10 mm 10 mm 20 mmarrow_forwardFor the composite bar indicated, determine the permissible bending moment when the bar is bent about a vertical axis. Aluminum stress is 100 %3D MPa, Brass stress is 160 MPa, Eb = 105 GPa, Ea = 70 GPa Brass 6 mm Aluminum 30 mm 6 mm -30 30 mmarrow_forwardA bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given below, determine the largest permissible bending moment when the composite bar is bent about a horizontal axis.Modulus of elasticity 70 GPa,105 GPa Allowable stress100 MPa,160 MPaarrow_forward
- 1. 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 1500 mm long composite bar consists of aluminum and steel as shown. The cross-sectional area of the aluminum bar is twice that of the steel bar. If the assembly is exposed to an axial tensile load of 250 kN, determine the lengths of each of the components if the elongation of the aluminum is the same with that of the steel. The modulus of elasticity of steel E = 200 GPa and for the aluminum is one-third of the steel.arrow_forwardThe 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 environmentarrow_forward
- a) Determine the location of the centroid with respect to the point P; y = mm Submit part Unanswered b) Determine the moment of inertia l with respect to the centroidal axes. x106 mm*arrow_forwardThe composite bar, firmly attached to unyielding supports, is initially stress free. What maximum axial load P can be applied if the allowable stresses are 100 MPa for aluminum and 140 MPa for steel? Bronze Steel A = 1800 mm² A = 1125 mm? E = 83 GPa %3D E = 200 GPa %3D P -450 mm- 360 mm·arrow_forwardWhat median provides a structural component in a composite? The medium that provides the structural component in a composite is the fiber material, such as _____fibers and ______fibers.arrow_forward
- A continuous aligned fibre-reinforced composite is produced containing 28% aramid fibres of tensile strength 2.82GPA and the remainder of polycarbonate with tensile strength 60 MPa. What is the longitudinal strength of the composite in MPa? [Enter your answer as a real integer number - do not include the unit]arrow_forwardGive some applications for glass-, carbon- and aramid- reinforced polymer composites. Briefly discuss.arrow_forwardA 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.arrow_forward
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