Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN: 9781305084766
Author: Saeed Moaveni
Publisher: Cengage Learning
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Chapter 10, Problem 49P
To determine
Show the equivalent spring constant
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Q5: Consider the structure shown below. A rigid bar of negligible mass, pinned at
one end, is supported by a steel rod and an aluminum rod. A load P = 30 * 10^3 N
is applied as shown. Model the structure using two finite elements. What are the
?boundary conditions for your model
Steel
Aluminum
A = 1200 mm²
200 × 10³ N/mm²
A = 900 mm²
E = 70 × 10³ N/mm?
l = 3 m
E
4.5 m
1 m
m
3 m-
VP
The figure shows the infinitely rigid bar (ACD) suspended by three steel wires of diameter d and elasticity E σy, whose maximum allowable stress in the elastic range is σy. On the bar, weighing W, it also exerts a point force P as indicated in the figure. W= 10 [kN], P=5 [kN], d=5 [mm], L=1 [m], b=50 [cm], E=190 [GPa] , σy= 200 [MPa].
a) Calculate the vertical reactions on each of the wires.If applicable, indicate what wires are at risk of collapse
b) Calculate the deformations of each wire for the case shown in a)
c) Calculate the maximum deformations in each wire so that their behavior remains in the elastic range
2. Consider a rigid bar attached to two vertical rods as shown in the figure. If a 40 kN of load P is
applied, what is the displacement of point B caused by load P?
Aluminum
L= 3 m
A = 500 mm²
E = 70 GPa
3.5 m
Steel
L= 4m
A = 300 mm²
E = 200 GPa
2.5 m
Chapter 10 Solutions
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
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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