Problem 1. A material element in plane stress is subjected to stresses:Ox = -7000 psiOy = -3000 psi= -4000 psiTxyа)Find the stresses ox,, Oy,, and Tx, y, on an element oriented at an angle 0 =30° clockwise from the xaxis and show these stresses and on a sketch of a properly oriented element.b)Find the principal stress angles, Op1, Op2, and the principal stresses, 01,02c)Find the maximum shear stress angles, 051, es2, and the maximum shear stresses, +Tmax-d)Show the principal stresses and maximum shear stresses on a sketch of a properly oriented element

“Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Find the stresses ox,, Oy,, and Tx,y, on an element oriented at an angle 0 = 30° clockwise from the x axis and show these stresses and on a sketch of a properly oriented element. Find the principal stress angles, Op1, Op2, and the principal stresses, o1,02 Find the maximum shear stress angles, 0s1, es2, and the maximum shear stresses, +Tmax-

Find the stresses ox,, Oy,, and Tx,y, on an element oriented at an angle 0 = 30° clockwise from the x axis and show these stresses and on a sketch of a properly oriented element. Find the principal stress angles, Op1, Op2, and the principal stresses, o1,02 Find the maximum shear stress angles, 0s1, es2, and the maximum shear stresses, +Tmax-

Principles of Foundation Engineering (MindTap Course List)

9th Edition

ISBN:9781337705028

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter8: Vertical Stress Increase In Soil

Section: Chapter Questions

Problem 8.6P: Two line loads q1 and q2 of infinite lengths are acting on top of an elastic medium, as shown in...

See similar textbooks

Similar questions

The stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 85 MPa and S, =- 200 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume B= 48°
The given stresses are 0x = 48 MPa, 0x =- 32 MPa, and Txy = 20 MPa. The rotation angle 0 = 30°.Use the stress transformation equations to determine the stresses on an element that is rotated bythe given angle 0 and show the calculated stresses on the rotated element.
Plane AB is under pressure and Plane AB has an angle = 30 degrees to sigma = 50 nPa.a. Determine the equations used to calculate the normal and shear stress in the plane ABb. Draw a normal vector sketch on the plane AB and the angle formed between the normal vector andc. Calculate normal stress and shear stress in plane AB (Round up to 4 digits after comma)d. Plot the point normal stress and shear stress plane AB on the Mohr Diagram sketch.
Determine the magnitude of the shear stress (in units of MPa) when the state of stress is oriented 45 degrees from the element shown (aligned with line AB).
Question 1: The general state of stress at a point is characterized by six independent normal and shear stress components which act on the faces of an element of material located at the point. Show a schematic view of the general state of stress. Using Mohr’s circle, determine the principal stresses of an element having σx = 45 MPa, σy = 55 MPa and ?xy = 25 MPa. Show them on a sketch of a properly oriented element. Using Mohr’s circle, determine the maximum and minimum shear stresses. Show them on a sketch of a properly oriented element. Determine the equivalent state of stress if the element is oriented 30º clockwise by using Mohr’s circle. Show them on a sketch of a properly oriented element.
An element in uniaxial stress is subjected totensile stresses σx = 57 MPa, as shown in the figure.Using Mohr’s circle, determine the following.(a) The stresses acting on an element oriented at anangle θ =-33° from the x axis (minus meansclockwise).(b) The maximum shear stresses and associatednormal stresses.Show all results on sketches of properly orientedelements.
The strain components for a point in a body subjected to plane strain are εx = 620 με, εy = -1030με and γxy = 320 μrad. Using Mohr’s circle, determine the principal strains (εp1 > εp2), the maximum inplane shear strain γip, and the absolute maximum shear strain γmax at the point. Show the angle θp (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.
state of plane stress at a point is represented by the stress element below: A. Draw the Mohr’s Circle. B. Determine the principle stresses and draw the corresponding stress elements. C. Determine the maximum shear stress and draw the corresponding stress element. D. Find the stresses on an element inclined at 50o clockwise and draw the corresponding stress element. E. Provide a table illustrating the stress values as well as the inclination angles and compare the obtained values from Mohr’s Circle with those obtained fro
The state of stress on an element relative to the xy-axis is presented above. The element is to be reoriented as shown. a) What are the components that describe its original state of stress (??, ??, ???) and what is the angle of rotation (?)? Make sure your signs are correct. b) Using the equations of stress transformation, determine ??′, ??′, and ??′?′ and draw these components of stress on the rotated element. c) What are the principal stresses and angles of the principal planes? What is the shear stress associated with this orientation? d) What is the maximum in-plane shear stress and the angle of its associated plane? What are the associated normal stresses in this orientation? e) What is the absolute maximum shear stress and what plane (xy, xz, or yz) does this stress act upon?
Q#2 Draw the Mohr,s circle for the stress element shown in figure. Determine the principal stresses and maximum in-plane shear stresses and also draw respective stress elements. Furthermore find out stresses on planes whose normal make an angle of 45 and 135 degress with x-axis. Show your results on stress elements (10 marks)
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 17 ksi, Sy = 24 ksi, and Sxy = 16 ksi. (a) Determine the principal stresses (0p1 > 0p2) and the maximum in-plane shear stress max acting at the point. (b) Find the smallest rotation angle Op (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
Draw the Mohr,s circle for the stress element shown in figure. Determine the principal stresses and maximum in-plane shear stresses and also draw respective stress elements. Furthermore find out stresses on planes whose normal make an angle of 45 and 135 degress with x-axis. Show your results on stress elements