Q1) At a point in a structure subjected to plane stress, the stresses are o= 4100 psi, Gr = 2200 psi, and Ty = 2900 psi. A stress element located at the same point in the structure (but oriented at a counterclockwise angle 01 with respect to the x axis) is subjected to the stresses shown in the figure2 (Ob. Tbs and 1800 psi). Assuming that the angle 0i is between zero and 90°, using Mohr's Circle, calculate the normal stress Ob, the shear stress Th, and the angle 01. Tb 1800 psi 1

Q1) At a point in a structure subjected to plane stress, the stresses are o= 4100 psi, Gr = 2200 psi, and Ty = 2900 psi. A stress element located at the same point in the structure (but oriented at a counterclockwise angle 01 with respect to the x axis) is subjected to the stresses shown in the figure2 (Ob. Tbs and 1800 psi). Assuming that the angle 0i is between zero and 90°, using Mohr's Circle, calculate the normal stress Ob, the shear stress Th, and the angle 01. Tb 1800 psi 1

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: A rígid steel bar is supported by three rods as shown. There is no strain in the rods before the…

Q: . For the plane stress situation shown in the figure, the maximum shear stress and the plane on…

A: A plane stress system as shown-Stress values-,To Find-The value of the maximum shear stress and the…

Q: A thin rectangular plate ABCD is deformed into a parallelogram as shown in the figure below. The…

A: Shear strain is measured as a change in angle between lines that were originally perpendicular.

Q: Two Triangular wedges are glued together as shown in the following figure. The stress acting normal…

A: Stresses acting on the planes-To Find-The value of the normal stress

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

Q: A rectangle of an elastic material is deformed in the x, y plane as represented by the dashed lines.…

A: Given: E=300 MPa and poisson ratio μ=0.4No deformation in Z directiona Normal strain strain in x…

Q: A rigid steel bar is supported by three rods as shown. There is no strain in the rods before the…

Q: Problem 4 : For the shown Mohr circle: a) What is the state of stress at the reference point A.…

Q: For the stress element below, when a = 9, b = 4, MPa. Calculate your answer to stress, is: Input…

Q: Solve ALL FORCES and DRAW THE SHEAR FORCE (V-D) AND BENDING MOMENT (M-D) COMPLETELY of the following…

A: Support Reactions : RA + RB = 2×12×4.5×5 = 22.5 kN ........(1)Taking moment about A,RB×9 -…

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

A: Each square grid = 400 psi

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

Q1) At a point in a structure subjected to plane stress,
the stresses are o= 4100 psi, oy = 2200 psi, and Ty
2900 psi. A stress element located at the same point in
the structure (but oriented at a counterclockwise angle
01 with respect to the x axis) is subjected to the stresses
shown in the figure2 (Ob. To, and 1800 psi). Assuming
that the angle 01 is between zero and 90°, using Mohr's
Circle, calculate the normal stress op, the shear stress
Tbs and the angle 01.
1800 psi

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 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The three equally spaced vertical rods in Fig. (a) are securely attached to a rigid horizontal bar. The two outer rods are made of an aluminum alloy, and the middle rod is steel. The cross- sectional areas of the rods are shown in the figure. Determine the residual stresses in the rods after the load P has been increased from zero to the limit load and then removed. The material properties are E = 70 GPa, Oyp = 330 M Pafor aluminum, and E = 200 GPa, Typ 290 MPa for steel. Neglect the weight of the bar. Aluminum 600 mm² Steel (a) շատ (06 Aluminum 600 mm² 250 mm 100 mm
In order to determine the shear stress at A, using the shear stress formula, the thickness would be .mm 20 20 mm a 4 mm 60 mm 2 mm 100 mm 160 mm
A load of 1000 N is applied as shown in figure, given cross-sectional area of bar 1 & 2 is 100 mm² & 80 mm2, young modulus of elasticity E₁ = 120 GPa, E₂ = 150 GPa. Calculate the minimum normal stress (in MPa) (1) (2) P= P= 1000 N
The rectangular plate is subjected to force P that causes elongation in the horizontal direction and shrinking in the vertical direction as shown with the dashed line in the figure. Assume a = 550 mm, Δx = 2 mm, and Δy = 1.1 mm. Determine the shear strain γxy at point A? Determine the shear strain γnt at point A? In micro rad What is the normal strain in the x-direction? What is the normal strain in the y-direction? What is the normal strain in the n-direction? Answer in clear way please
At a point on the surface of a generator shaft, the stresses are shown on the stress element in the figure. Using Mohr's circle, determine the following: • The stresses acting on an inclined at an angle 0= 45° CCW • The principal stresses • The maximum shear stresses. • Show all results on sketches of properly oriented elements. 0 10 MPa 50 MPa 40 MPa
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 780 psi in size. (a) Determine the stresses O, Oy, and the magnitude of Tyand show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). y Answer: (a) ox = i psi Oy = psi Txy = psi (b) Op1 = i psi Op2 = i psi Tmax in-plane " i psi
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 540 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). Answer: (a) ox= i Oy= i Txy = (b) Op1 = Op2 i Tmax in-plane y C psi psi psi X psi psi psi σ
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 220 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). Answer: (a) ox= i Oy = Txy = i i (b) Op1 = i op2 = i max in-plane y i C psi psi psi X psi psi psi σ
The rectangular plate is subjected to force P that causes elongation in the horizontal direction and shrinking in the vertical direction as shown with the dashed line in the figure. Assume a = 550 mm, Δx = 2 mm, and Δy = 1.1 mm. Determine the shear strain γxy at point A?in micro rad Determine the shear strain γnt at point A?in micro rad What is the normal strain in the x-direction?micro£
For P = 100 MPa, determine the range of values of τxy for which the maximum tensile stress is equal to or less than 60 MPa. (Round the final answer to one decimal place.)
A thin rectangular plate ABCD is deformed into a parallelogram as shown in the figure below. The width of the plate is w = 1300 mm, and the height of the plate is h = 1700 mm. The shear strain at A is known to be +4172 μrad. Assume a = 2.9 mm. Calculate the magnitude of dimension b in the figure.
Figure Q4 shows a piece of triangular thin plate ABC with thickness 5 mm. A linear pressure as shown in the figure is being applied to edge AB with maximum intensity of 100 kN/m² at the middle of edge AB. The plate is made from stainless steel, with a Young's modulus of 200 GPa and Poisson's ratio of 0.3. The deformations in the plate are to be obtained. For such purposes, the finite element method is being employed. (a) (b) (c) (d) (e) State the type of problem involved in this case (to determine the stiffness matrix to be used). Model this problem optimally using the least number of orthogonal triangular elements only. Label the nodes and elements and indicate clearly the status of all the relevant degrees-of- freedom in this model. Set up the appropriate system of simultaneous equations and solve for the unknown displacements. Displacements at point T. Without any calculation, explain on the value of strain at points S and T.