1. The components of a stress tensor at a certain place in a body may be presented as a matrix: x x /0 y z 1 2 y 1 20 z 2 0 1. What is the stress vector acting on the outer side (the side away from the origin) of the following plane, which passes through the place in question? x + 3y + z = 1. What are the normal arid tangential components of the stress vector to this plane?

1. The components of a stress tensor at a certain place in a body may be presented as a matrix: x x /0 y z 1 2 y 1 20 z 2 0 1. What is the stress vector acting on the outer side (the side away from the origin) of the following plane, which passes through the place in question? x + 3y + z = 1. What are the normal arid tangential components of the stress vector to this plane?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 3= The state of strains at a point are defined as follows. Find X and Y such that the normal and…

Q: 4. A graphic representation of shear stress and the normal stress properties of a representative…

A: Given Question : A graphic representation of shear stress and the normal stress properties of a…

Q: Consider a point in a structural member that iS subjected to planestress. Normal and shear stresses…

A: Option (A) is correct.

Q: Q.2) A state of stress is specified as shown in Figure (2), By using Mo determine the normal and…

A: Radius of the circleR=(σx-σy2)2+τxy2R=(40+802)2+502R=78.1…

Q: a) b) QUESTION/ The stress state at a point on the free surface of a body is defined as shown below.…

A: from the above diagram;

Q: GIVEN 30 B y 25 Oy ay 25 25 25

Q: Q4) ( ): A state of stress is specified as shown in Figure (4), By using Mohr's circle determine the…

A: .

Q: We need the following relationships in deriving the transverse shear stress formula, except? Select…

A: Ans = c In derivation of transverse shear stress formula all options are used except c.

Q: 1. Given stress on an element as shown. a) Using both Analytical method and Graphical method…

A: a) Analytical Method i) σ1 , σ3 σx = - 75 MPa σy = 40 MPa τxy = 20 MPa σ1,3=σx + σy2 ± (σx - σy2)2 +…

Q: In each case, calculate the value of Q and t that are used in the shear formula for finding the…

A: we are authorized to answer up to three subparts for a single post. As you have not mentioned so we…

Q: Displacement components at a point in a solid u(x, y, t) = 2y²x + 2t v(x, y, t) = 8y³x³ + 5t? w(x,…

Q: Problem 3.4 The stress tensor has components at point P in ksi units as specified by -9 3 -6 [t..] 3

A: a.) The stress vector on the plane 'P'. From Cauchy's law:…

Q: The plane state of stress (shown in the following Figure) is for a point p inside a given body under…

Q: The biaxial stress system in an element is shown in the figure. Which of the following will give the…

A: Given- biaxial stress system-σ1=60 N/mm2σ2=-40 N/mm2θ=45o

Q: 3= The state of strains at a point are defined as follows. Find X and Y such that the normal and…

Q: Principle stresses of 100 kPa (tension) act on two mutually perpendicular faces of a rectangular two…

A: Principle stress=100 kPa

Q: stress tensor at a point is given by the following 6x = 40 oy = 30 oz = 20 MPa, Txy 20 MPa, ryz 40…

Q: 3= The state of strains at a point are defined as follows. Find X and Y such that the normal and…

Q: In the cylindrical coordinate system, stress component Trz = 23 N/m². Trz acts on a surface (shown…

A: Given data : shear stress on r-plane along z direction = 23 N/m2 area of plane = 40 inch^2 find out…

Q: Define Obliquity. 2. Give the expression for maximum shear stress in a two dimensional stress…

A: (1) Obliquity : Obliquity is defined as the angle between the Direction of resultant stress or…

Q: 2. Which of the following is not true? a. Forces parallel to the area resisting the force cause…

A: Answer:- Option d is the correct answer for the given question. Explaination:- Shear stress is…

Q: The state of stress at a point with ox, oy, and txy as shown. Analyze the state of stress at the…

Q: • Part C- Counterclockwise Rotation of a Stress Element The state of stress at a point in a member…

Q: ement oriented 3 ess at the y-axis

Q: EXAM QUESTION 2 The state of plane stress at a point is represented by the element shown in the…

Q: Question 1: The general state of stress at a point is characterized by six independent normal and…

A: (1) Consider the schematic view of the general state of stress.

Q: Question The state of 2D-stress at a point is given by the following matrix of stress: [100 30. 30…

A: Given- State of 2D-stress given- σx=100 MPa,σy=20 MPa,σxy=τxy=30 MPa, It is needed to find the…

Q: Determine the equivalent state of stress on an element if it is oriented 50° counterclockwise from…

Q: What is the shear stress component (τ) on a plane at 35o counterclockwise from the x-plane (in MPa)?…

A: stress ox x axis σx=-106 MPaσy=+150 MPashear stress ζxy=150 MPaangle of plane =+35° from…

Q: 3= The state of strains at a point are defined as follows. Find X and Y such that the normal and…

A: This question is related to the Strength of Material.

Q: Question 5 The state of plane stress at a point on a body is represented on the element shown in the…

A: Given information in question Compressive load Tensile load Shear stress Angle of inclination of…

Q: Two dimensional stress tensor at a point is given by a matrix *][* [100 30 30 20 The maximum shear…

Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

100%

1. The components of a stress tensor at a certain place in a body may be presented as a
matrix:
x
x /0
y z
1 2
y 1
20
z 2 0 1.
What is the stress vector acting on the outer side (the side away from the origin) of the
following plane, which passes through the place in question?
x + 3y + z = 1.
What are the normal arid tangential components of the stress vector to this plane?

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Determine the shear stress at points A and B on the beam if it is subjected to ashear force of V = 400 kN. Represent the state of stress on a volume element of these points.
need correct and urgent
2. Which of the following is not true? a. Forces parallel to the area resisting the force cause shearing stress. b. Shear stress is also called tangential stress. c. The unit "bar" may represent the unit of shear stress. d. Shear stress is produced by the compression of one surface against another. e. none of the above
Solve it correctly using the equations
Two dimensional stress tensor at a point is given by a matrix *][* [100 30 30 20 The maximum shear stress is MPa MPa.
AThe stress tensor at a point is given by the following = 30 oz = 20 MPa, Txy 20 MPa, Tyz 40 txz = 30 GX = 40 oy = MPа %3D calculate stress invariant and prove that it is unchanged when the system is rotated by 60 degree anticlockwise about x3.
Displacement components at a point in a solid u(x, y,t) = 2y²x+2t v(x, y, t) = 8y'x + 5t2 w(x, y, t) = 3zy'x + 5xt² |3D a) the strain tensor, b) stress tensor c) Find out if the strain satisfies the fit equations?
PLEASE ANSWER ASAP TY! SEE THE FIGURE SHOWN a) What is the shear stress component (τ) on a plane at 35o counterclockwise from the x-plane (in MPa)? Include negative sign if it will cause counterclockwise rotation. b) Determine the angle of inclination of the principal planes in the differential element (in degrees). Include negative sign for clockwise rotational sense. c) Determine the minor principal stress σ2 (in MPa). Include negative sign if compressive. d) What is the normal stress component (σ) on a plane at 35o counterclockwise from the x-plane (in MPa)? Include negative sign if compressive. e) What is the magnitude of maximum shear stress (in MPa)?
Determine the equivalent state of stress on an element if it is oriented 50° counterclockwise from the element shown. Assume that σ = -13 ksi and Txy = -19 ksi. Solve the problem using ox Mohr's circle. σχ F Part A Determine the normal stress ox'. Express your answer in kilopounds per square inch to three significant figures. ANSWER: = Tap image to zoom ksi Part B Determine the normal stress Øy'. Express your answer in kilopounds per square inch to three significant figures. ANSWER:
3= The state of strains at a point are defined as follows. Find X and Y such that the normal and tangantial component of the strain vector on a plane with normal unit vector of n=(n,n2,n3) is equal to En Et. 80 Y-50 X 20 (*10 m/m) <-50 20 50 4 n₁ n₂ n3 &*10 0.3 0.8 0.520 22.14 En *10 71.34
. The biaxial stress system in an element is shown in the figure. Which of the following will give the normal stress in N/mm2 in the plane BD making an angle of 45° with the plane BA? 2 0₁ = 60 N/mm² C 0₂ = = 40 N/mm A A A 0₂ = = 40 N/mm 2 45 2 A B On 2 0₁ = 60 N/mm
i need the answer quickly