Question 3σφ20 N/mm2If the stresses on two perpendicular planes through a point are 60N/mm? tension, 40 N/mm? compression, and 30 N/mm? shear,find the stress components and resultant stress on a plane at 60°to that of the tensile stress.20 N/mm250 N/mm?

Given that, σ1 = 60 N/mm2 σ2 = -40 N/mm2 τxy=30 N/mm2 The inclination of the plane with the axis of…

If the stresses on two perpendicular planes through a point are 60 N/mm2 tension, 40 N/mm2 compression, and 30 N/mm2 shear, find the stress components and resultant stress on a plane at 60° to that of the tensile stress.

If the stresses on two perpendicular planes through a point are 60 N/mm2 tension, 40 N/mm2 compression, and 30 N/mm2 shear, find the stress components and resultant stress on a plane at 60° to that of the tensile stress.

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter10: Stresses In A Soil Mass

Section: Chapter Questions

Problem 10.1CTP: EB and FG are two planes inside a soil element ABCD as shown in Figure 10.50. Stress conditions on...

See similar textbooks

Related questions

Q: Using the equations for determination of stress at a point, calculate the value for the maximum…

A: Major principal stress σ1 = - 36 kPa Minor principal stress σ2 = 14 kPa

Q: At a point in a stressed material, the major principal stress is 50 kPa compression and the minor…

A: It is required to determine the maximum shear stress.

Q: At a point in a stressed body, the known stresses are o, = 37 MPa (T), oy = 24 MPa (C), o, = 20 MPa…

Q: At a point in a stressed body, the cartesian components of stress are sigma xx = 60 MPa, sigma yy=…

A: Principle stresses are stress on a plane where shear force is zero. There are 3 types of principle…

Q: The stresses shown act at a point on the free surface of a machine component. Normal and shear…

A: The given data is shown below: Sx=12.4 ksiSy=3.5 ksiSxy=3.6 ksiβ=29°

Q: Determine principal stress and maximum shear stress

A: Given data : Normal stress in X direction (σX)=50 MPaNormal stress in Y direction (σY)=10 MPaShear…

Q: If the principal stresses in a plane stress problem, are 0₁ = 100 MPa, o₂ = 40 MPa, the magnitude of…

A: Given- Principal stresses- σ1=100 MPa,σ2=40 MPa, It is needed to find the magnitude of maximum shear…

Q: Using the equations for determination of stress at a point, calculate the value for the maximum…

Q: A solid circular pole has a height of 3 m and a diameter of 250 mm. The pole carries a compressive…

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

A: Given:- Sx=26 MPaSy=75 MPaSxy=10 MPa

Q: The stresses shown act at a point in a stressed body. Assume stress magnitudes of Sx = 18 MPa, S, =…

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

Q: 1. At a point, the normal and shear stresses acting on one plane are 120 psi compression and 30 psi…

Q: The major and minor principal stresses acting at a point in a stressed material are 80 psi…

A: Major Principal stress, σ1=-80 psi (compression) Minor Principal stress, σ2=20 psi (Tension) (a)-…

Q: The stresses shown act at a point in a stressed body. The stress magnitudes are S, = 2000 psi, Sy =…

Q: The stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 100 MPa and S,…

Q: Determine the absolute maximum shear stress for each of the following plane stress states for which…

Q: 3. (a) A prismatic bar is subjected to an axial compressive stress of 85N/mm. Determine the i.…

Q: -For the state of stress shown find principal stress 1) σ1,σ 10 MPа 2) Tmax,min 20 MPа 20 MPa 3) 0…

Q: Example 7.9 At a point in an elastic material, 0, 40 Nimm a direct tensile stress of 80 N/mm? and a…

Q: 1. At a point in a vertical cross-section of a beam there is a resultant stress of 75 MN/m², which…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Determine the absolute maximum shear stress for each of the following plane stress states for which…

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

Q: At a point, the normal and shear stresses acting on one plane are 8,000 psf compression and 2,000…

A: Given: Compression of normal stress at point = 8000 psf Compression of shear stress at point = 2000…

Q: Find the value of maximum principal stress if maximum shear stress is 60 MPa and minimum principal…

A: Given data : The value of minimum principal stress σ2=50 MPa The value of maximum shear stress…

Q: Determine the stress at locations A, B, C, D, E and F (Figure 2). Show step by step

A: Consider the figure shown below.

Q: Determine the absolute maximum shear stress for each of the following plane stress states for which…

Q: What is the bending stress in the beam 2 meters from point A? b)What is the bending stress 50 mm…

A: To determine the bending and shear stresses at various given locations for the shown beam. From…

Q: a)Calculate the stress components acting on the inclined plane AB. b)Calculate prime stresses…

A: Given data: σx = -25 MPa (Compressive) σy = 50 MPa (Tensile) shear stress = -60 MPa (Causing…

Q: 3. For the stress state below, find all three principal stresses and three maximum shear stresses.…

Q: n a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting…

A: Given:- Sx = 24 MPa, Sy = 81 MPa, and Sxy = 16 MPa To find:- (a) Determine the principal stresses…

Q: Assume segments AB, BC, and CD have a circular cross section, all with constant diameter 45mm.…

A: From segment AB:∑ Fx=0FAB-24=0FAB=24KNNormal stress in AB:σAB=FABA=FABπ4d2σAB=24,000Nπ4452=15.090Mpa

Q: Example 7.2 The principal stresses at a point inside a loaded body are 100 N/mm² and 75 N/mm². Find…

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

Q: 3) The beam shown below has a T-shape cross section. Determine shear stress distribution of the beam…

A: Given Maximum shear stress in AB = 1MPa For T section Force at overhanging = p

Q: A centric point load is applied to a rectangular axial member that has a cross- section of 10" x 4".…

A: Given:- A centric point load is applied to a rectangular axial member Cross section of the axial…

Q: For the state of stress at a given point M shown below. Determine Р 1. The normal stress and shear…

Q: Determine the absolute maximum shear stress for each of the following plane stress states for which…

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

Q: 1. Determine the effective stress at point A when Z-3 m. 2. Determine the effective stress at point…

Q: If the principal stresses at a point in a stressed body are 150 kN/m2 tensile and 50 kN/m²…

A: Given data, σ1 = 150 kN/m2 σ2 = -50 kN/m2

Q: The stresses shown act at a point in a stressed body. The stress magnitudes are Sy = 85 MPa and S, =…

A: Given data in question Normal stresses Angle To find out Normal and shear stress

Q: For the plane stress state listed below, draw a Mohr's circle diagram properly labeled, find the…

A: The given data is: σx=16 MPaσy=9 MPaτxy=5 MPa ccw

Q: Determine the absolute maximum shear stress for each of the following plane stress states for which…

A: Determine the absolute maximum shear stress for each of the following plane stress states for which…

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

Q: A beam has a rectangular section, 60 mm wide and 100 mm deep, and a span of 4 m. The beam is simply…

Q: The stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 2200 psi, Sy =…

Concept explainers

Solid Mechanics

Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.

Question

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 1 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

Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine the increase in vertical stress at point A located z = 15 ft below the surface. Given: x = 27 ft. Figure P6.4
From the given figure below and its properties, calculate the stress at the top where at the fixed end. (MPa) Properties: Beam width = 274 mmBeam height = 419 mmWLL = 8.86 kN/mWDL = 12.6 kN/mPu = 7 kNSpan of the beam = 8 mPrestressing force = 399 kNeccentricity = 127 mm
The stresses shown act at a point on the free surface of a machine component. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 24.3 ksi, Sy = 2.7 ksi, and Sxy = 4.1 ksi. Assume β=25∘β=25∘. Determine the normal stresses σxσx and σyσy and the shear stress τxyτx⁢y at the point.
The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 28 MPa, Sy = 28 MPa, and Sxy = 37 MPa. Assume β=tan−1(ba)=21.8∘β=tan-1(ba)=21.8∘, a = 5, and b = 2. Using the equilibrium equation approach, determine the normal and shear stresses σσ (positive if tensile, negative if compressive) and ττ (magnitude only) at this point on the inclined plane shown.
The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 17 MPa, Sy = 29 MPa, and Sxy = 26 MPa. Assume β=tan^−1(b/a)=23.2∘, a = 7, and b = 3. Using the equilibrium equation approach, determine the normal and shear stresses σ (positive if tensile, negative if compressive) and ττ (magnitude only) at this point on the inclined plane shown.
What is the bending stress in the beam 1.8 meters from point A? A.10.24 MPa B.9.60 MPa C.7.68 MPa D.8.60 MPa What is the bending stress 20 mm from the top of the beam 1.5 meters from point A? A.4.838 MPa B.10.442 MPa C.9.247 MPa D.7.225 MPa What is the shear stress in the beam at point A? A.0.80 MPa B.0.33 MPa C.1.57 MPa D.0.48 MPa What is the shear stress 80 mm from the top of the beam at point B? A.0.1024 MPa B.0.8072 MPa C.0.1966 MPa D.0.4096 MPa
The major and minor principal stresses acting at a point are 50 Pa compression and 10 Pa compression, respectively. Draw the Mohr’s circle for this stress combination, and determine the magnitude of shear and normal stress on one of the planes where shear is a maximum.
For the beam, Why is the normal stress =0? is it because there are no forces acting on the surface of the neutral axis and the bending moment is caused by shear force and not normal force? Is this the reason?
For the beam shown in Figure, the location of the neutral axis is shown and INA=19.3 x 106mm4 Determine the following What is the maximum shear stress at the neutral axis for this beam? What is the maximum shear stress under the 14kN load at a point 30mm above the bottom of the beam? What is the shear stress at a point 30mm above the bottom of the beam at section C
A vertical force P of magnitude 20 kips is applied at point C located on the axis of symmetry of the cross section of a short column. Knowing that y = 5 in., determine (a) the stress at point A, (b) the stress at point B, (c) the location of the neutral axis. My question is why point B is under compression and point A is under tension?
Using the equations for determination of stress at a point, calculate the value for the maximum shear stress that develops if the major principal stress is 7.2 ksi compression and the minor principal stress is 3.6 ksi tension.
H1. A rectangular beam of 100mm wide and 150mm deep is subjected to Shear force of 30KN, Determine ratio of Maximum shear stress to Average shear stress. Derive the equation which is used to find out the shear stress.