ENGINEERING FUNDAMENTALS
6th Edition
ISBN: 9781337705011
Author: MOAVENI
Publisher: CENGAGE L
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Chapter 10, Problem 47P
To determine
Compare the bar (a) or bar (b) which will stretch more when subjected to same force F.
Compare the bar (a) or bar (c) which will stretch more when subjected to same force F.
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The lower ends of the three bars shown in the figure are at the same level before the rigid homogeneous W = 100 kN
block is attached. The properties of the bars are shown in the table.
Steel
Bronze
Length, L
Area, A
Modulus of elasticity, E
Coefficient of thermal expansion, a
1.00 m
500 mm?
1.60 m
900 mm
200 GPa
83 GPa
11.7x106 /°C
18x10 /°C
Bronze
Steel
Steel
W
The temperature of the bars is then increased by 80°C. The block is assumed to
remain horizontal after all deformations have occurred.
Which of the following most nearly gives the stress developed in the steel bar?
The lower ends of the three bars in the figure are
rigid homogeneous W =
at the same level
before
the
100
kN
block
is
attached.
The
temperature of the bars is then increased by 80°c. The block is assumed
to remain horizontal after all deformations have occurred. The properties
of the bars are shown in the table.
STEEL
BRÖNZE
Length, L
Area, A
Modulus of Elasticity, E
Coefficient of Thermal Expansion, a
1.0 m
1.6 m
500 mm2
900 mm?
200 GPa
83 GPa
11.7x10-6 mm/ (mm-°c)
18x10-6 mm/ (mm-°C)
Calculate the stress developed in the
bronze bar.
Bronze
Steel
Steel
A
Calculate the stress developed in the steel bar.
FIGURE 10
Q4 The beam shown below is made of an alloy of titanium that has a stress-strain diagram that can in part
be approximated by two straight lines. If the material behaviour is the same in both tension and
compression, determine the bending moment that can be applied to the beam that will cause the
material at the top and bottom of the beam to be subjected to a strain of 0.050 mm/mm
3 cm
2 cm
σ(MPa)
1330
1050
σ = 105(10¹) €
σ= 7000€ +980
0.010
gaizu
201
0.050
€ (mm/mm)
Chapter 10 Solutions
ENGINEERING FUNDAMENTALS
Ch. 10.2 - Prob. 1BYGCh. 10.2 - Prob. 2BYGCh. 10.2 - In your own words, explain what we mean by...Ch. 10.2 - Prob. 4BYGCh. 10.2 - Prob. BYGVCh. 10.4 - Prob. 1BYGCh. 10.4 - Prob. 2BYGCh. 10.4 - Prob. 3BYGCh. 10.4 - Prob. 4BYGCh. 10.4 - Prob. 5BYG
Ch. 10.4 - Prob. BYGVCh. 10.6 - Prob. 1BYGCh. 10.6 - Prob. 2BYGCh. 10.6 - Prob. 3BYGCh. 10.6 - Prob. 4BYGCh. 10.6 - Explain what is meant by modulus of elasticity and...Ch. 10.6 - Prob. 6BYGCh. 10.6 - Prob. BYGVCh. 10 - Prob. 2PCh. 10 - An astronaut has a mass of 68 kg. What is the...Ch. 10 - Prob. 4PCh. 10 - Former basketball player Shaquille ONeal weighs...Ch. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Calculate the pressure exerted by water on the...Ch. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - Prob. 13PCh. 10 - If a pressure gauge on a compressed air tank reads...Ch. 10 - Prob. 15PCh. 10 - Calculate the pressure exerted by water on a scuba...Ch. 10 - Prob. 17PCh. 10 - Using the information given in Table 10.4,...Ch. 10 - Bourdon-type pressure gauges are used in thousands...Ch. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Determine the pressure required to decrease the...Ch. 10 - SAE 30 oil is contained in a cylinder with inside...Ch. 10 - Compute the deflection of a structural member made...Ch. 10 - Prob. 28PCh. 10 - A structural member with a rectangular cross...Ch. 10 - Prob. 30PCh. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - Prob. 34PCh. 10 - Prob. 35PCh. 10 - Calculate the shear modulus for a given...Ch. 10 - Prob. 37PCh. 10 - Prob. 38PCh. 10 - Prob. 39PCh. 10 - Obtain the values of vapor pressures of alcohol,...Ch. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - We have used an experimental setup similar to...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Prob. 47PCh. 10 - Prob. 48PCh. 10 - Prob. 49PCh. 10 - Prob. 50P
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- A metal specimen 36 mm in diameter has length of 360mm. A force of 300kN elongates the length by 1.20 mm. What is the modulus of elasticity?arrow_forwardA piece of 50 mm x 30 mm material experiences a homogenous deformation as shown in the figure below. The deformed shape in x-y plane is illustrated by the solid lines. If E = 3.9 GPa and the Poisson's Ratio is 0.35, what is the associated shear stress? provide your answer in MPa with precision to two decimal points. Answer: 0.014 30 0.010 y 0.009 0.012 50arrow_forwardQuestion 3 - Strain Transformation The state of strain at a point in a rectangular block of material using an x-y coordinate system is given by: • €xx = 51×10-4 €yy = 18 ×10-4 Yxy=-4x10-4 ● ● Part One a) Which element below best represents the deformed element due to the state of strain in the x-y plane? 6 2 B) D) D) F) Hint: Consider the relative magnitude and sign of each component of strainarrow_forward
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