Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 12, Problem 21CQ
To determine
The sum of internal stresses in a composite of there is no external applied force.
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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.
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 mm
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 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·
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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- Estimate the transverse tensile strength of the concrete in Problem 12.6.arrow_forwardComposite _________ is produced by laying fibers in random directions in a plane.arrow_forward4. 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 mmarrow_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_forwardThe composite bar is stress-free before the axial loads P, and P, are applied. Assuming that the walls are rigid, calculate the stress (MPa) in each material if P1 = 150 kN and P2 = 90 kN Aluminum A = 900 mm A = 2000 mm A = 1200 mm? E = 70 GPa | E= 200 GPa Steel Bronze E = 83 GPa P1 500 mm 250 mm' 350 mmarrow_forwardThe composite bar is stress-free before the axial loads P1 and P2 are applied. Assuming that the walls are rigid, calculate the stress in each material if P1 = 150 kN and P2 = 90 kN. %3D Aluminum Steel Bronze A = 900 mm| A = 2000 mm| A = 1200 mm? E = 83 GPa E = 70 GPa | E = 200 GPa P1 500 mm '250 mm' 350 mmarrow_forward
- Sub question: At what temperature will the aluminum and steel segments in this problem have stresses of equal magnitude after the 50-kip force is applied? Show full solutionarrow_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_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 80 MPa for aluminum and 144 MPa for steel? Steel Aluminum A = 1125 mm2 E = 70 GPa A = 1800 mm? E = 200 GPa 450 mm- 360 mm-arrow_forward
- 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.arrow_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_forwardThe structural efficiency in managing bending, shear and for steel vs concretearrow_forward
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