ENGINEERING FUNDAMENTALS
6th Edition
ISBN: 9781337705011
Author: MOAVENI
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 10, Problem 49P
To determine
Prove that the equivalent spring constant
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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
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
The figure shows a sign hanging from a beam anchored to a wall by two cables. In an element of the beam, the stress tensor has been measured, resulting in the following values σxx = 2250 [psi], σyy = 1175 [psi] and τxy=−820 [psi].
Q) It is known that σyield= 2000 [psi]. Is it possible that the beam could fail? Apply the Von Mises and Tresca criteria
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- A horizontal force F shown in the figure is exerted on a vertical lever to prevent a load (weight W) from falling downwards. The drum can rotate without friction about point B; the coefficient of static friction between the drum and the block is μ0=0.30. Determine the magnitude of the force F (in kN) needed to prevent the drum from rotating. a= 4mb=3mc=1mdiameter of the drum = 4marrow_forwardProblem #3 The bar shown below has uniform cross section and material properties throughout. In addition to the loads shown, the bar experiences a uniform temperature change of AT. Given the x displacement at B is equal to -0.3022409955 inches determine the change in temperature, AT. Report your answer in degrees F to 2 decimal places. D x 8 ft C 10 kip 5 ft B 30 kip 3 ft A 30 kip E = 18,000 ksi a = 8.0 x 10-6 1/°F A 0.15 in²arrow_forwardThe 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 rangearrow_forward
- A tapered circular rod of diameter varying from 20 mm to 10 mm is connected to another uniform circular rod of diameter 10 mm as shown in the following figure. Both bars are made of same material with the modulus of elasticity, E = 2×105 MPa. When subjected to a load P = 30T kN, the deflection at point A is_ mm. 20mm 2m d, 10 mm 1.5m P 30nkNarrow_forward2. As shown in the figure, the block of mass m is placed on a horizontal plane and attached to an ideal spring. The spring has a stiffness of k = 30 N/m and is undeformed when x = 0 with the velocity of 6 m/s to the right. a. Compute the value of x when the block first comes to rest. b. Compute the force that tends to move the block to the left when the block first comes to rest. c. Compute the speed of the block when it reaches x = 0 for the second time. K=30 N/m m=1.6 kg wwww Hs = 0.3 Hk = 0.2arrow_forwardSuppose we have a uniform beam that is 3.73 metres long has a flexural rigidity of 34301Nm. Find the deflection of the beam in millimetres if the beam is under a uniform load of 86N/m and is supported with simple supports at both ends. Fill out the table below with your answers. x�-coordinate Deflection (mm��) x=0.22 y(x)= x=1.38 y(x) = x=2.05 y(x) = x=2.98 y(x) = x=3.58 y(x) = Enter as many decimal places as your calculator allows (8 to 10). Your answer must be within ±0.0005±0.0005 of the correct answer to be considered correct.arrow_forward
- 2. As shown in the figure, the block of mass m is placed on a horizontal plane and attached to an ideal spring. The spring has a stiffness of k = 30 N/m and is undeformed when x = 0 with the velocity of 6 m/s to the right. a. Compute the value of x when the block first comes to rest. b. Compute the force that tends to move the block to the left when the block first comes to rest. c. Compute the speed of the block when it reaches x = 0 for the second time. K=30 N/m m=1.6 kg Hs = 0.3 Hk = 0.2arrow_forward6.) The figure shows a metal hanging by a thin wire from a floating wood block. The wood block has a specific gravity Sb =0.25, a square base of 80 mm x 80 mm and height of 15 mm. The metal has a volume of 8000 mm^3. Using a unit weight of water 9800 kN/m^3 and g=9.80 m/s^2, find the tension in the thin wire in Newton. Write your answer in three decimal places. fluid mechanicsarrow_forwardThe figure shows the infinitely rigid bar (ACD) suspended by three steel wires of diameter d and elasticity E, 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 rangearrow_forward
- Consider the beam shown in (Figure 1). Suppose that a = 160 mm, b=210 mm, c= 50 mm. Figure 1 of 1 a a Part A Determine the moment of inertia of the beam's cross-sectional area about the centroidal z axe. Express your answer to three significant figures and include the appropriate units. I₂ = Submit Part B Iy= μA Submit Value Determine the moment of inertia of the beam's cross-sectional area about the centroidal y axe. Express your answer to three significant figures and include the appropriate units. Units My Answers Give Up μA Value Units ? My Answers Give Up ? Provide Feedback Continuearrow_forwardA column with a rectangular cross section area is subjected to an axial force as shown in the figure. What is the distance of the axis with zero normal stress from the centroid?[a = 170 mm, b = 290 mm, c = 180 mm, L = 880 mm, P = 320 kN] a a Cross section of column Answer: mmarrow_forwardA beam with a cross section shown as the shaded area below is subjected to an internal bending moment M 100 Nm. (1) Determine the maximal tensile stress and compressive stress developed in this cross section. (2) Determine the orientation of the neutral axis. 100mm 80mm 30° 60mm 80mm M = 100 N·m X Answer: (1) σ= 1.762 MPa; (2) α = 39.99⁰arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill Education
Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:9780134610672
Author:Russell C. Hibbeler
Publisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:9780073398006
Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning