A square plate of width b and thickness t is loaded by normal forces Pz and Py. and by shear forces V, asshown in the figure. Assume that the material is linearly elastic with modulus of elasticity E and Poisson'sratio v. These forces produce uniformly distributed stresses acting on the side faces of the place. Thedimensions for an aluminum plate are b = 10 in.. t = 0.75 in.., E = 10,600 ksi , v = 0.33. Pz = 96 k.Py = 24 k, V = 18 k. .PPx(a) Calculate the change AV in the volume of the plate. (Round your answer to four decimal places)AV =|in.3Calculate the strain energy U stored in the plate. (Round your answer to the nearest whole number)V =in.-lb(b) Find the maximum permissible thickness of the plate when the strain energy U must be at least640 lb-in. (Assume that all other numerical values in part (a) are unchanged). (Round your answer to threedecimal places)t =in.(C) Find the minimum width b of the square plate of thickness t = 0.75 in. when the change in volume ofthe plate cannot exceed 0.05% of the original volume. (Round your answer to two decimal places)in.

Given data Width (b) = 690mm = 69*10-³m Thickness (t) = 40mm = 40*10-³m E = 41 Gpa = 41*10⁹ V =…

Answered: uniformly distributed stresses acting…

Engineering

Mechanical Engineering

uniformly distributed stresses acting on the side faces plate are b = 10 in. t = 0.75 in.., E = 10,600 ksi,

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: F 30° ød. 2 M. 10

Q: A beam with the cross section geometry and dimensions as shown in the figure and parameter table is…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Problem 1 of 2: Nodal displacements for the elements 1-3 and 2-3 of a plane truss were determined to…

A: Given dataDisplacements of points in x and y directionsu1 = 1.5mmu2 = 0.2mmu3 = -2.7mmv1 = 3.1mmv2…

Q: In the figure below, the arm CD of the pipe is parallel to the z axis. The cross-section of the pipe…

A: Given Data:Inner radius of Pipe Outer radius of Pipe Find:(A) Stresses on point A(B) Stresses on…

Q: 3. Consider a cylinder with an outer Diameter, D = 4 m that is under a pressure p = 200 kPa and…

A: To determine the stresses on element A with the coordinate axis and to find the principal stresses…

Q: 2. The setup for an experiment consists of a curved steel beam with a rectangular cross section…

Q: This is a question from the textbook, Example 3.1 from page 132. We are interested in the…

Q: (1) A steel cylinder (Oyp = 260 MPa) of inner radius a and outer radius 3a is subjected to an in %3D…

Q: pipe wrench Pipe (eylinder)

A: In this problem 2 forces exerted on shaft. Due to the force P bending stress will occur in shaft…

Q: e state of stress at a point in a circular bar under pure torsion is given by T xy = T yx= t and…

Q: S A- Sección 4-a 1200 N B 1500 N 1000 N

Q: An element in plane stress from the fuselage of an airplane is subjected to compressive stresses of…

A: Given:ζxy=11 MPaσx=-22 MPaσy=6 MPa

Q: mm. When subject to pressure, the hoop stress in

Q: 800 N 120 N.m d = 8 cm 600 N Q /If the cross section of the femur can be approximated as a circular…

A: Stress due to eccentric axial load of 800N P1=P2=800N P2 and 800N will create a moment M=800(0.8)=64…

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. The…

Q: 4. The general stress element is loaded such that ty = 25 MPa. Using Mohr's circle, find out the…

Q: A cantilevered structure has dimensions L=65-in, L-9.5-in, L=6.2-in, LF3.8-in and diameter d=2.5-in.…

A: Given L1 = 65 in L2= 9.5 in L3 = 6.2 in L4 = 3.8 in d1 = 2.5 in Fy = 78 lb Fz = 153 lb We have to…

Q: A solid steel bar with a diameter of 50 mm is subjected to three forces as shown in the figure,…

A: In the given problem, the main stresses will be developed at point B due to 1200N force which will…

Q: Using Mohr's circle, determine the fol (1) the stresses acting on an element in (2) the principal…

Q: A thick-walled cylinder with internal and external radii 86 mm and 166 mm respectively, is subject…

A: we have to determine the radial and hoop stress

Q: Consider a point in a structural member that is subjected to plane stress. Normal vertical planes at…

Q: A rectangular bar having width w = 7.00 in. and thickness t = 1.00 in. is subjected to a tension…

Q: = A machine component is fabricated from a bent tube as shown below. One part of the tube lies along…

A: Outside diameter, d0=122 mmInside diameter, di=108 mmForce F=8.5 kNLengths,L1=258 mmL2=118 mmL3=281…

Q: Q4 (a) A thin eylinder 95 mm internal diameter, 500 mm long with walls 4.5 mm thick is subjected to…

A: The cylinder, as mentioned, is assumed as a thin shell. The internal pressure in a thin shell…

Q: It has an L arm exposed to P load as shown in the figure on the side. Calculate the stresses that…

A: Consider the diagram shown below for the given arm.

Q: 1)In a thin plate, the state of stress prevails according to the figure. Calculate the principal…

A: Only one question is allowed to solve as per the guidelines.

Q: (3) The cantilever bar as shown on next page is made of a brittle material. At D, F-300 lb. F-250…

A: Given data :Material of cantilever Bar= Cast iron (Brittle Material)At D: Fx= 300 lb, Fy= 250 lb,…

Q: Can Stock Photo Inc./Johan H 7.2-1 The stresses on the bottom surface of a fuel tanker (figure part…

A: As per Bartleby rules, I have to answer one question out of two. As there is no comment whether to…

Q: A rectangular bar having width w = 6.50 in. and thickness t = 1.25 in. is subjected to a tension…

A: Given:- width of bar=6.50 in,thickness of bar=1.25 in,area of cross section=(6.5×1.25)=8.125…

Q: 1. Calculate the maximum stresses to occur in the hole and groove (groove) areas in the plate below,…

A: Given, Applied load (F)=5000N Width of the plate=200mm The thickness of the plate (t)= 25mm Diameter…

Q: The cross-sectional area shown is subjected to V = 600 kN and M =1000 kN-m. What is the flexural…

Q: For the truss shown below, use symmetry to determine the displacement of the and the stresses in…

Q: The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on…

A: Permissible stress is stress which produces due to pressure or forces which does not exceed the…

Q: The foundation bolt is shown in the below figure a force F = 300 N. The bolt material is wire of…

Q: An angled strut b = 6.2 in. thick is subjected to a force F = 55 kip and a uniformly distributed…

A: The values are F=55 kipq=23.5 kip/ft The thickness is b=6.2 in To find out:- The principal…

Q: Find the normal and shear stresses at points H and K, since F= 15 kN in the loading condition shown…

Q: Consider a point in a structural member that vertical planes at the point are S, =26 MPa, S,= 19…

Q: A composite square member of varying sizes is subjected to axial forces along its centerline, as…

A: Given:Dimension of section A-A=50 mm X 50 mmDimension of section B-B= 75 mm X 75 mmDimension of…

Q: 1. Determine stress distributions of a rotating ring (See the figure below; Angular speed: @; Mass…

A: Write the given data. Angular speed: ωMass density: ρOuter radius: Ro=bInner radius: Ri=a

Q: 3 A hol!ow thin disc of 60 cm outer diamétér and 40 cm inner diameter is running at 1440 r.p.m.…

A: we have to calculate the stresses due to rotation

Q: Consider a point in a structural member that is subjected to plane strèss. Normal and shear stress…

A: given; stress in x direction(Sx)=41MPastress in y direction(Sy)=11MPashear stress in xy plane…

Q: 4. For an element subjected to stresses of x= 70 ksi y=-15 ksi xy=30 ksi SAH: (a) Draw Mohr's…

Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

A square plate of width b and thickness t is loaded by normal forces Pz and Py. and by shear forces V, as
shown in the figure. Assume that the material is linearly elastic with modulus of elasticity E and Poisson's
ratio v. These forces produce uniformly distributed stresses acting on the side faces of the place. The
dimensions for an aluminum plate are b = 10 in.. t = 0.75 in.., E = 10,600 ksi , v = 0.33. Pz = 96 k.
Py = 24 k, V = 18 k. .
P
Px
(a) Calculate the change AV in the volume of the plate. (Round your answer to four decimal places)
AV =|
in.3
Calculate the strain energy U stored in the plate. (Round your answer to the nearest whole number)
V =
in.-lb
(b) Find the maximum permissible thickness of the plate when the strain energy U must be at least
640 lb-in. (Assume that all other numerical values in part (a) are unchanged). (Round your answer to three
decimal places)
t =
in.
(C) Find the minimum width b of the square plate of thickness t = 0.75 in. when the change in volume of
the plate cannot exceed 0.05% of the original volume. (Round your answer to two decimal places)
in.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

32 HiW find longitudinal and hoop tensile stresses in the Wall of vessel Shown in figure, if the internal Bessure is 0.9 Ma and thickness of Wall is 6.4mm? Ansi Ğ =42.19 MYa + H= 62.8 MYa Aiso find I? so.67 0.6m L=18m 0.6m
QI A rigid bar ABCD is pinned at end A and supported by two cables of equal length at points B and C.The cable at B has nominal diameter D=12 mm and the cable at C has nominal diameter D= 20 mm. IF a load P=30 -dc KN acts at end D of the bar. What is the stresses for the cables at B and C if the temperature rises by 60°C. (E = 140 GPa and a=12 x 10/°C for both cables). -26 to -26- P
A thick-walled cylinder with closed ends has internal and external radii 100 mm and 180 mm respectively, is subject to internal and external pressures of 148 MPa and 58 MPa respectively. Apply Lame's equations to find the following: Radial and hoop stresses at radii 120 mm, 140 mm and 160 mm respectively. (a) (b) Axial stress of the cylinder.
Find the Normal Stress at points A, B, and C in the Rod below. Dimensions given are diameters.
The stresses in a 2-D rectangular steel body (E = 200 GPa, v=0.32) are xx = -A(L - x)y, and oxy = A(h² - 4y²); other stress components are zero. Here, L represents length and h is height. What is the strain component y xy A - (h² - y²) 8E O A A 8G - (h²-x²) - (h²-x²) 8E А A= (h²-y:²) 8G ?
Question: Find schematically the normal and shear stresses in the plane when the element in the plane stress state is rotated 30 degrees counterclockwise with the Mohr circle.
Calculate the stresses that will occur at point A in the adjacent figure. r=20mm
PROBLEM 3. The stress condition at one point in the tail region of the National Combat Aircraft is shown in the figure. (a) Calculate the principal stresses (b) Calculate the maximum in-plane shear stress and the average normal stress by analytical method and plotting the Mohr's circle. For each case, determine the element orientation and plot the stress state. (c) Calculate the maximum absolute shear stress at the same point. 40 MPa TAI 200 MPa 80 MPa
A = Tab Problem 1. An ellipse with semi-major axis a = 150 mm and semi-minor axis b = 100 mm is etched on a brass plate. The plate has dimensions 400 x 400 × 20 mm. Uniformly distributed normal stresses ox = -25 MPa and o, = 50 Mpa are applied to the plate. The Young's modulus E = 100 GPa, and Poisson's ratio v = 0.34. (Note: The ellipse remains an ellipse after stretching, but with different semi-major and semi-minor axes.) Find: a) The change in the area of the ellipse. Oy The in the thickness of the plate. b) c) The change AV in the volume of the plate. Ox a. -b- Ox a d) The strain energy, U, stored in the plate. Ty
A bar of rectangular section shown in is subjected to stresses σx, σy and σz in x, y and z directions respectively. Show that if sum of these stresses is zero, there is no change in volume of the bar.
At a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress is illustrated in the figure below. For the given plane stress condition determine: -all 3 principle stresses, the max in plane stress, average noemal stress and the absolut max shear stress. - Show the principle stress, the max inplane shear stress and the average normal stress on an appropriate schematic