Please sketch the figures that they are asking for in the question, THANK YOU FOR YOUR HELP! 1.1 Torsional stresses: without doing any calculation, sketch the shear stress distribution for a positive forque Tacting on a hollow circular section.1.2 Stress transformation: without doing any calculation, sketch the positive sign convention for normal and shearstresses on a infinitesimal material volume. Consider a plane state of stress σx, σy and Txy.1.3 Stress transformation: Without doing any calculation, sketch a Mohr's circle in which σ1>0, 02<0. On the circleidentify the center point, and the radius. Show how the center and radius can be found from Ox,σy,Txy. Identify ageneric state of stress (σx>0 Txy>0) as point A on the circle, and show graphically the angles 20 p1, 20 p2, and 20s.For problem 1.3, see sample below for a Mohr's circle with σ₁>0, 02>0TxyTmaxརྟོགས་ཚེ་√σ(+)Osvg = 0x+5y, R = √(8=-05)² + Txy²(+)DE

Step 1:1.1 Torsional Shear Stress Distribution (Hollow Section)Sketch: Imagine a hollow circular…

Answered: 1.1 Torsional stresses: without doing…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Please sketch the figures that they are asking for in the question, THANK YOU FOR YOUR HELP!

1.1 Torsional stresses: without doing any calculation, sketch the shear stress distribution for a positive forque T
acting on a hollow circular section.
1.2 Stress transformation: without doing any calculation, sketch the positive sign convention for normal and shear
stresses on a infinitesimal material volume. Consider a plane state of stress σx, σy and Txy.
1.3 Stress transformation: Without doing any calculation, sketch a Mohr's circle in which σ1>0, 02<0. On the circle
identify the center point, and the radius. Show how the center and radius can be found from Ox,σy,Txy. Identify a
generic state of stress (σx>0 Txy>0) as point A on the circle, and show graphically the angles 20 p1, 20 p2, and 20s.
For problem 1.3, see sample below for a Mohr's circle with σ₁>0, 02>0
Txy
Tmax
རྟོགས་ཚེ་
√σ(+)
Osvg = 0x+5y, R = √(8=-05)² + Txy²
(+)DE

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Q.2) A state of stress is specified as shown in Figure (2), By using Mohr's circle determine the normal and shearing stresses and their directions on: a- The principal planes? b- The planes of maximum shearing stress? c- The planes whose normals are at (+50°) and (+140°) with x-axis? show your results on complete sketches of differential elements. 80 MPa 50 MPa YA 40 MPa + 50 MPa, 80 MPa 40 MPa Figure (2)
The state of stress at a point with ox, oy, and txy as shown. Analyze the state of stress at the point using the Mohr's circle of stress. Determine the following a) Principal stress, b) Maximum in-plane shear stress and c) Normal stress on the plane defined by x' axis where the angle is 25 degrees. Ne To 0. ox x TEV
The normal and shear stresses at a point in a structural subjected to a state of plane stress are shown in figure below. Determine using stress transformation equation or Mohr's circle. i) principal stresses and their directions. ii) maximum shearing stress and its direction. iii) stress on a plane making an angle of 30° anticlockwise from plane AD. [Ans: i) o1 = 33 MPa, o2 = -23 MPa, O, = 68°, ii) Tmax = 28 MPa, O, = 22.5°, iii) o = 12.5 MPa, Gy = -2.32 MPa, tay = 27.3 MPa] 25 N/mm? B 20 Nmm 30 15 Nmm?
Problem 4 : For the shown Mohr circle: (a) What is the state of stress at the reference point A. Sketch the element at A. (b) Determine the principal normal stresses and their orientation. Show the results on a properly oriented element (c) Determine maximum in-plane shear stress and its orientation. Show the results on a properly oriented element A 20 40 60 80 100 Ở, ksi 20 40 -60
2. For the state of stress shown in the figure, determine normal and shearing stresses on the planes whose normal are at +60° and +150° with the x-axis. Show all results using Mohr's Circle diagram. 8 ksi 8 ksi 10 ksi
Question 1 The biaxial stress element of an isotropic and homogenous material is loaded as shown in figure 1 below. Y Oxz =185 MPa Ty = 3D 60 MPа 25° o =180 MPa yz Figure 1 (a) Determine the magnitudes, and senses of the direct and shear stresses which act on the inclined plane as shown in figure 1 using the First Principle method. (b) Using the standard formulae, determine for the element of stressed, homogeneous, isotropic material, shown in figure 1, the following: (i) The magnitudes of principal stresses and their associated planes relative to the x-axis for positive angles. The magnitudes of maximum shear stresses and their associated planes relative to the x-axis for positive angles. Magnitudes of direct and shear stresses acting on the inclined plane. (ii) (ii)
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
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EXAM QUESTION 2 The state of plane stress at a point is represented by the element shown in the figure. (Assume E=210 GPa, v=0.3). Determine a) the principal stresses and the oriented angle associated with the direction of each principal stress using the transformation equations of plane stress; and b) the absolute maximum shear stress at the point according to this stress matrix. 50 MPa 50 MPa 50 MPa
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Q. No. 4: The state of plane stress at a point is represented by the stress element shown in figure.Analyze the element for stresses acting on an element oriented at 30° clockwise with respect to the original element.
The figure shows an element in bi-axial stress and the corresponding Mohr’s circle. Points A and B represents the stresses on the x face and on the y face of the element respectively. A. What is the value of the normal axial stress along x direction? B. What is the value of the normal axial stress along y direction? C. What is the value of the maximum shear stress?

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