Problem 15.1 The stresses on horizontal and vertical planes at a point on the outside of a circular pressure vessel subjected to an axial load P and a torsional load T are shown below. Using the equations developed in class: A) Determine the in-plane principal directions and principal stresses. a. Show these stresses on a properly oriented 2D stress block. Be sure to show all of the stresses which act on the planes which you have drawn. B) Determine the in-plane maximum shear stress directions and in-plane maximum shear stresses. a. Show these stresses on a properly oriented 2D stress block. Be sure to show all of the stresses which act on the planes which you have drawn. P T T 10 ksi 8 ksi 15 ksi

Problem 15.1 The stresses on horizontal and vertical planes at a point on the outside of a circular pressure vessel subjected to an axial load P and a torsional load T are shown below. Using the equations developed in class: A) Determine the in-plane principal directions and principal stresses. a. Show these stresses on a properly oriented 2D stress block. Be sure to show all of the stresses which act on the planes which you have drawn. B) Determine the in-plane maximum shear stress directions and in-plane maximum shear stresses. a. Show these stresses on a properly oriented 2D stress block. Be sure to show all of the stresses which act on the planes which you have drawn. P T T 10 ksi 8 ksi 15 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: 3. „ please calculate and 30

A: given: stress in x direction(σx)=0stress in y-direction (σy)=-σy(compressive)shear stress in xy…

Q: n problem 3.52, consider the following. Do not change the distance between A and B, and B and…

A: Hi, we will solve first part for you since the other sub-parts are complex. Please resubmit the…

Q: Problem 2: The stresses shown act at a point on the free surface off a stressed body. a) Determine…

Q: Current Attempt in Progress Mohr's circle is shown for a point in a physical object that is…

Q: 3. In one specific point in a structure, the stress state is as pictured on the differential…

Q: b) For the thin walled pressure vessel subjected to an internal pressure of 150 psi and as shown…

A: Given data: - The pressure inside vessel is P = 150 psi. The length of the vessel is L ft. The…

Q: 3. At a point in a strained material, the principal stresses are 100 MPa and 50 MPa both tensile.…

Q: 8.3 A rectangular block of material is subjected to a shear stress of 30 MN/m2 together with its…

Q: A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is…

Q: Fig. 1 depicts an aluminum and steel pipes, those pipe are fastened to rigid supports at ends A and…

Q: A cylindrical steel pressure vessel 400 mm in diameter with a subjected to an internal pressure of…

A: Givendia=400mmthickness t=20mmInternal pressure P=4.5MN/m2

Q: Problem 1: Given the 2D states of plane stress below, determine the principal stresses (0₁, 0₂) and…

Q: Find the normal, tangential and the resultant stress & its inclination on a plane making an angle of…

Q: The state of plane stress at a point is represented by the element shown in Figure Q1. Construct a…

Q: Tyx Figure 1 Point A- x-direction stress 60MPA(compression), y-direction stress 40MPA(tension),…

Q: Consider the following plane stress state: Ox=-12 kpsi, Oy- 22 kpsi, Txy = 12 kpsi cw Calculate the…

A: Find outthe coordinates of the center of Mohr's circle C.Principal normal stress Maximum shear…

Q: b) For the given state of stress on the surface airplane fuselage as shown in Figure 4, determine…

A: given; stress in x -direction (σx)=-48MPastress in y -direction (σy)=19MPashear stress in xy plane…

Q: Problem 2.2 Consider the following load raising system. a) Calculate the power of the motor if the…

A: Given figure To calculate (a)Calculate the power of the motor if the load is to be raised at a…

Q: The stress at a point of a machine component are 200MPa tensile and 100MPa compressive. Using Mohr’s…

A: Given: σx=200 MPaσy=-100 MPaτxy=0θ=30°

Q: Q1. For the given cube below, complete the following: 1.find the center, radius (R), principal…

Q: WITH DESCRIPTION AND STEPS APPLIED, TO HELP ME UNDERSTAND APPROPRIATELY

A: Hoop stressExplanation:Step 1:Step 2: Step 3: Step 4:

Q: Problem 2: Use an eigenvalue approach to solve for the principal stresses and directions for the…

Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…

A: Each grid square= 240 psi Hence, x point is equal to 4×240, 6×240= (960, 1440) y point is equal to…

Q: Q5 Figure Q5 shows a thick cylinder of 50 mm internal radius and 100 mm outer radius is subjected to…

A: Given Data The internal pressure is Pi=60 MN/m2. The external pressure is Po=30 MN/m2. The…

Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…

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

Q: A thin cylinder of 100 mm internal diameter and 5 mm thickness is subjected to an internal pressure…

A: Introduction: Internal pressure causes a hoop and longitudinal tension in a thin-walled tube or…

Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…

Q: 10m Stresses in Beams: Part 1 39 X +y 2m Sign Mechanical Engineering Mechanics of Materials 2 (a)…

Q: (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b)…

Q: Problem 2: A pressure vessel with p = 200 psi internal pressure is subjected also to a twisting…

A: Given data, Applied internal pressure, P = 200 psi Applied twisting moment, T = 450 kips Internal…

Q: Question 2 For the stresses of plane stress state is ox = -8 MPa , Oy = 7 MPa and Txy = -6 MPa Draw…

Q: choose the correct answer Mcq: the maximum shar stress in contact between two steel spheres pressed…

A: Option one is correct. At the contact surface

Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…

A: Given: The size of grid square, x = 500 psi

Q: Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each…

A: Given Each grid square is 280 psi in size

Q: The state of stress on an element is shown in following figure. i) Determine the stresses acting on…

A: Given Data σx=42MPa σy=140MPa ζxy=60MPaθ=48(°ccw) To find 1. The resultant stress in second plane…

Q: method is used to find stresses on an oblique plane of a member when it is subjected to stresses in…

A: OPTION (B) Mohr's circle

Q: QUESTION 4) For the given plane state stress, if the components at the inclined surface is known and…

Q: Problem 2.3 A machine bracket is loaded with an inclined force of 1000 N as shown in the figure…

Q: At a certain point in an elastic body direct stresses of 150 N/mm² tensile and 100 N/mm² compressive…

A: σx=150 N/mm2σy=-100 N/mm2Principal stress, σ1=180 N/mm2

Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…

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

Problem 15.1
The stresses on horizontal and vertical planes at a point on the outside of a circular pressure vessel subjected
to an axial load P and a torsional load T are shown below.
Using the equations developed in class:
A) Determine the in-plane principal directions and principal stresses.
a. Show these stresses on a properly oriented 2D stress block. Be sure to show all of the stresses
which act on the planes which you have drawn.
B) Determine the in-plane maximum shear stress directions and in-plane maximum shear stresses.
a. Show these stresses on a properly oriented 2D stress block. Be sure to show all of the stresses
which act on the planes which you have drawn.
T
T
10 ksi
8 ksi
15 ksi

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 images

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

140mm $50 mm 100 mm | I kN In the figure, a force of 1 kN is applied by means of an arm connected to a shaft with a diameter of 50 mm. So, represent the stress state of point B on the element? b) Draw the Mohr's circle for the given stress member and calculate the principal stresses?
The state of stress shown to the left was produced by a combination of loadings on a body that is not shown. Determine the following via Mohr's circle: A) Draw Mohr's Circle for the x-y plane. B) Determine the principal stresses - All 3. C) Sketch a properly oriented differential element showing the principal stresses in the x-y plane. D) Determine the magnitude of the maximum shear stress in the x-y plane. E) Sketch a properly oriented differential element showing the maximum shear stress state in the x-y plane. F) Determine the magnitude of the absolute maximum shear stress (and include the two out of plane circles on your original figure). Use the following values for the magnitudes of the stresses: x = 0₂ Txy Ox X X 10 ksi, σy = 4 ksi, σ₂ = 3 ksi, Txy = 4 ksi
4. Write the relations used for maximum stress when a machine member is subjected to tensile or com- pressive stresses along with shearing stresses.
10.5 (B) A compound tube of 300 mm external and 100 mm internal diameter is formed by shrinking one cylinder on to another, the common diameter being 200 mm. If the maximum hoop tensile stress induced in the outer cylinder is 90 MN/m² find the hoop stresses at the inner and outer diameters of both cylinders and show by means of a sketch how these stresses vary with the radius. [90, 55.35,-924, 57.8 MN/m²]
1. At a point in a piece of elastic material, direct stresses of 92 MN/m2 tensile and -49 MN/m2 compressive are applied on mutually perpendicular planes. The planes are also subjected to a shear stress. If the greater principal stress is limited to 100 MN/m2 tensile, determine the value of shear stress. Give you answer to 2 significant figures in MN/m2
Please use a handwritten solution
Show the complete free body diagram for the problem.
6
3. As shown, a vertical 200 lb force is applied to the gear and shaft assembly at point D. Shaft ABC is solid and has a 0.5 in. radius. (you may use a coordinate system of your choice, as long it's correct.) y 2.5 in. 10 in. D H B Z X 200 lb a) Determine the state stress (all stresses with their indices) at point H on top of the shaft. b) Determine the principal stresses and max shear stress at point H.
10 MPa 5 MPa 20 MPa In class exercise: Plot Mohr's circle for the given stress state