6) Across Plane #1, the state of stress is measured as: On 1.1 kb and os= 0.4 kb Across Plane #2 which is at right angles to Plane #1, the state of stress is: On 0.7 kb and os=-0.4 kb Assuming that one principal stress lies parallel to the intersection of the planes, a. What are the values of 61 and 03? b. What is the angle between 1 and the normal of plane #1? c. Draw Planes 1 and 2 with respect to the principal stresses, 01 and 03.

6) Across Plane #1, the state of stress is measured as: On 1.1 kb and os= 0.4 kb Across Plane #2 which is at right angles to Plane #1, the state of stress is: On 0.7 kb and os=-0.4 kb Assuming that one principal stress lies parallel to the intersection of the planes, a. What are the values of 61 and 03? b. What is the angle between 1 and the normal of plane #1? c. Draw Planes 1 and 2 with respect to the principal stresses, 01 and 03.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

QUESTION 3. The state of plane stress at a point on the tail of Turkey National Combat Aircraft is shown in the figure. Applying both analytical method and the Mohr's cicle, determine a. Determine principal stress values b. Calculate the maximum inplane shear stress and average normal stress. c. Draw the element location for each condition. d. Determine the absolute maximum shear stress value at the same point. 40 MPa TAI 200 MPa 80 MPa
The stresses shown act at a point in a stressed body. The stress magnitudes are Sy = 75 MPa and S, = 225 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 = 46°. S ↑ Answer: Sn = MPa Snt = MPa
20 ksi 40 ksi 60 ksi The differential element above represents the state of plane stress at a point in a steel beam. Which of the following best represents the magnitude of the second principal stress (02) at the point? 76.6 ksi O 63.3 ksi 36.6 ksi 60.0 ksi
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?
Solve correctly
q10At a point in a two dimensional stress system, the normal stress on two mutually perpendicular planes are o and o and shear stress is t One of the principal stresses will become zero when the value of shear stress Txy is (a) ±(0) (c) ±/0 +0yy (d) +/oo yy
Solve this early all subparts B) determine the principal plane (for σmax) in radians. C) Determine the shearing stress in a plane, which is 330 with the vertical (clockwise). D) determine the normal stress (in MPa) in a plane, which is 330 with the vertical (clockwise). E) determine the minimum values of θ (in radians) for which the normal stress is the equal to or less than 35.2 MPa.
50 mm Determine the stress components at point H. And show the stress state for this point on a volume cubic element given below. Cross Section 150 mm 40 mm 0.5 kN 20 mm 3 kN 160 mm 2.5 kN
Problem 05
A cube of material (E = 15,000 psi, v = 0.25) of side length 2" is shown in the x, y plane. Takex positive to the right and y positive up. Determine the change in length of the cube in the three coordinate directions if 4 %3D a) The normal stress in the z direction is zero (Ans: 0.0317" in x direction) b) The normal stress in the z direction is 300 psi compression (Ans: 0.0416" in x direction) 150 psi 100 psi + 200 psi
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 = 25.7 ksi, Sy= 3.7 ksi, and Sxy= 6 ksi. Assume ß = 38°. Determine the normal stresses o, and o, and the shear stress Txy at the point. Sx Txy Answers: 0x = Oy = Txy = ox B ksi. ksi. ksi.
The stresses shown act at a point in a stressed body. The stress magnitudes are S, = 80 MPa and S, = 225 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 ß = 55°. S. Answer: Sn = MPa Snt= MPa