1. The following state of strain has been determined on the surface of a cast-iron machine part: =- 720, 400, = 660 =- Knowing that E = 69 GPa and G= 28 GPa, determine the principal stresses using the following approaches: i. by determining the corresponding state of plane stress, and further using Mohr's circle for stress ii. by using Mohr's circle for strain to determine the orientation and magnitude of the principal strains, and further define the corresponding stresses

1. The following state of strain has been determined on the surface of a cast-iron machine part: =- 720, 400, = 660 =- Knowing that E = 69 GPa and G= 28 GPa, determine the principal stresses using the following approaches: i. by determining the corresponding state of plane stress, and further using Mohr's circle for stress ii. by using Mohr's circle for strain to determine the orientation and magnitude of the principal strains, and further define the corresponding stresses

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: 4. Given a shear stress of T-35 MPa and a shear modulus of G= 75 GPa, the shear strain is most…

A: Given data Shear stress=35 mpa Shear modulus =75 gpa We have to determine shear Strain

Q: A structural steel bar with a 25 mm x 75 mm rectangular cross section is subjected to an axial load…

Q: Q2. A rod has a modulus of elasticity equal to 1.5 x 105 N/mm2 , and has a diameter of 25 mm is…

A: Given: Young’s Modulus = 1.5 x 105 N/mm2 Force = 30 kN (Compressive) Diameter = 25 mm Area = πr2 = π…

Q: 4. The control linkage of an airplane consists of a rigid member DBC and a flexible cable AB. A…

Q: The inlet and throat diameters of a horizontal venturimeter are 30 cm and 10 cm respectively. The…

Q: A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the…

A: Given that: u = 2.3 mm, v = 3.9 mm c = 685 mm α =310, and β = 590 It is required to determine the…

Q: Determine the state of strain that corresponds to the following state of stress at a point 30, 000…

Q: a) Show that for an isotropic lamina in plane stress, the strain-stress relations are

A: The generalized Hook's law can be expressed for a three-dimensional elastic anisotropic body as,…

Q: Ql: The stresses measured at a point on bone are o, =5 MPa ,0, = -7 MPa and t-2.4 MPa find: 1. The…

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

Q: Prob. 2.3-4. A "rigid" beam BC of length L is supported by a fixed pin at C and by an extensible rod…

Q: Question 1 A rod with a diameter of 30 mm and a length of 600 mm is subjected to an axial force of…

Q: Identify the type of forming process in which the material is required to pass repeatedly through…

A: Option c is correct.

Q: when they are initially pinned to a straight, rigid, horizontal beam BF. Subsequentially, heating of…

Q: Q5) A material is subjected to two mutually perpendicular linear strains together with a shear…

A: For the solution refer below images.

Q: 10 ksi, o, = -4 ksi, and 29 x 103 ksi and poissons ratio is 0.3, determine the normal strain along…

Q: A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the…

A: Answer:-

Q: Q.3 The below given initially square plate has an edge length of 50 mm. Determine the normal and…

A: Given that, Side of the square, a=50 mm,Displacement in y-direction=2 mm, The given figure is shown…

Q: 10 ksi, oy -4 ksi, and o, = 8 ksi. Using E = The normal stresses at a point in a steel member are o,…

A: Answer: The normal strain along z is (0.2138 × 10-3) in/in.

Q: In an elastic material under load, two planes, AB and BC, are perpendicular to each other. The…

A: to find (a) principle stresses and direction of the principle stresses(b) normal and shear stress on…

Q: A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the…

Q: Q1: The stresses measured at a point on bone are o, =5 MPa ,o, = -7 MPa and t-2.4 MPa find: 1. The…

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

Q: s, (c) the orientation of the planes maximur num in-plane shearing stress, (e) the cor

A: Given data sigma x = 18 kpsi sigma y = 12 kpsi shear stress = -8 kpsi required Principal stress…

Q: If the copper in no. 2 is changed into steel with the same dimensions and with a modulus of…

Q: Q1: The stresses measured at a point on bone are o =5 MPa ,0, = -7 MPa and ty-2.4 MPa find: 1. The…

A: Modulus of elasticity defines the resistance to deform when a load under the elastic limit is…

Q: 1. A 1.5-m long circular cross-sectioned bar with r = 1 cm is under a combination of bending moment…

A: DISCLAIMER FOR MULTIPART FROM BARTLEBYSince you have posted a question with multiple sub-parts, we…

Q: A steel cable is used to support an elevator cage at the bottom of a 1900-ft-deep mineshaft. A…

A: Given Data: ◆ The uniform normal strain in the cable due to weight of the cage: εuniform = 240…

Q: A 50-kN force is subjected to a lap joint fastened by three 20-mm diameter rivets. (a) the shearing…

A: Given, P = 50 kN d = 20 mm

Q: B

A: Given DataHorizontal force at end D of the lever, P=150 lbThe diameter of portion AB of the lever,…

Q: deformed length of the elongated diagonal

A: Given; Rectangular region in a solid is in a state of place strain.(X,Y) coordiantes of the corners…

Question

1. The following state of strain has been determined on the surface of a cast-iron machine
part:
=- 720, =- 400, = 660
Knowing that E = 69 GPa and G = 28 GPa, determine the principal stresses using the
following approaches:
by determining the corresponding state of plane stress, and further using Mohr's
circle for stress
ii.
by using Mohr's circle for strain to determine the orientation and magnitude of the
principal strains, and further define the corresponding stresses

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

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

4. Given a shear stress of T35 MPa and a shear modulus of G= 75 GPa, the shear strain is most nearly (A) 2.5 x 10-5 rad (B) 4.7 x 10-4 rad (C) 5.5 x 10-4 rad (D) 8.3 x 10-4 rad
Problem 2. Three loads are applied to the short rectangular post shown In Fig. 2(a). The cross- sectional dimensions of the post are shown in Fig. 2(b). Determine: Me (a) The normal and shear stresses and points H and K; (b) The principal stresses and maximum in-plane shear stress at point H, and show the orientation of theses stresses in an appropriate sketch. No. M2 y 50 mm 210 kN %3D 120 mm (Naー 75 mm K 65 kN 30 mm 95 kN 160 mm 150 mm 30 mm Y-axis is the w to the sectin paimt Hond E امقره Fig. 2(b) 文 Section Proputics A= 120 X160=19200 mm Lx=160 - 40960000 mm-4094r L= 160x128 5KNス50 m-) %3D %3D = 23040000mm'= 23; 40Xlʻmm7 Int Faices
2. A figure shows a state of stress; determine the shearing stresses and normal stresses after the element has been rotated (a) 40° clockwise, (b) 25° counterclockwise. 12 ksi 8 ksi 6 ksi
Kindly answer correctly. I need this urgently. I appreciate your assistance. Thanks in advance
A steel rod is subjected to a gradually applied load (F) which gave a rise to a maximum stress of 200 MPa. The rod is 250 mm long and one part of it's length is square and the remainder is circular with a diameter of 25 mm. If the total strain energy in the rod and modulus elasticity of the material is 1,3 J and 200 GPa, determine the following : 4.1.The applied load F and the total extension of the bar 4.2.The length of the square portion of the bar and the suddenly applied load that will induce the same amount of energy. 4.3.The load that falls from a height of 8 mm induces 1,3 J in the bar
Q5) A material is subjected to two mutually perpendicular linear strains together with a shear strain. Given that this system produces principal strains of 1x 104 compressive and 3x 104 tensile and that one of the linear strains is 2.5x 104 tensile, determine the magnitudes of the other linear strain and the shear strain by using Mohr's strain circle. Also, find the values of the principal stresses present in the material by using Mohr's stress circle. For the material, take E=208GN/m² and v=0.3
A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 2.6 mm and upward by v = 5.2 mm to new position Q'. Determine the shear strain y at corner Q' after deformation. Use c = 620 mm, a = 29°, and B = 61°. 41 Answer: y = i urad
Ex. 5.3 At a point in the structural member, the stresses are represented as shown below. Employ Mohr's circle to determine (a) the magnitude and orientation of the principal stresses and (b) the magnitude and orientation of the maximum shear stress and associated normal stresses. In each case, show the results on a properly oriented element. Sol. YA 40 MPa 30 MPa 80 MPa
A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 2.0 mm and upward by v = 4.2 mm to new position Q'. Determine the shear strain y at corner Q' after deformation. Use c = 775 mm, a = 20%, and B = 70% ↑= Answer: y = i P a B R urad
A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 2.8 mm and upward by v = 5.6 mm to new position Q'. Determine the shear strain y at corner Q' after deformation. Use c = 620 mm, a = 26°, and B = 64° Answer: y = i P a B R urad
can you answer full detail ,ı need to understand fully ,thanks in advance
(c) For the given state of stress determine the following: (1) Principal stresses and its orientation (2) Normal and shearing stress after the element shown has been has been (a) 25° clockwise and (b) 10° counterclockwise. sketch a properly oriented element 10 MPa 30 MPa 50 MPa