Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If oy= 25 ksi, determine the angle 0, corresponding to the orientation of the maximum in-plane shear stress. 8 ksi 25.7° or -64.3° 16.0° or -38.9° 29.6° or -76.6° 23.8° or -59.2° 18.6° or -46.6° 45 ksi

Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If oy= 25 ksi, determine the angle 0, corresponding to the orientation of the maximum in-plane shear stress. 8 ksi 25.7° or -64.3° 16.0° or -38.9° 29.6° or -76.6° 23.8° or -59.2° 18.6° or -46.6° 45 ksi

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

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.
90 MPa 1. If a point is subjected to the state of stress shown in the figure, determine the principal stresses and the maximum in-plane shearing stress. Show all results using Mohr's Circle diagram. 40 MPa 30 MPa
3. Determine the maximum shearing stresses and the associated normal stresses for the state of stress 40 MPa represented in the figure. Sketch the results on a properly oriented element. 10 MPa 70 MPa
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If 0 = 68 MPa, determine the principal stresses acting at the point. 114 MPa 66 MPa 157.9 MPa and -155.4 MPa 82.0 MPa and -83.7 MPa O 121.2 MPa and -138.0 MPa O 167.4 MPa and -98.1 MPa O 133.2 MPa and -131.2 MPa
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If 0 = 44 MPa in the direction shown, determine the principal stresses at the point. 85 MPa 56 MPa O 70.9 MPa and -97.0 MPa 82.8 MPa and -136.0 MPa 89.5 MPa and -64.2 MPa 75.1 MPa and -124.1 MPa 64.9 MPa and -105.9 MPa
Question 9 of 10 View Policies Current Attempt in Progress The strain components for a point in a body subjected to plane strain are &x = -550 μE, &y=570μe and Yxy = -922 urad. Using Mohr's circle, determine the principal strains (Ep1 > Ep2), the maximum inplane shear strain Yip, and the absolute maximum shear strain Ymax at the point. Show the angle 8, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Answers: Ep1 = Ep2 = Vip= Ymax 0p- = Save for Later με. με. prad. urad. !! Attempts: 0 of 3 used Submit Answer
Question-3 An element in pure shear is subjected to stresses - 16 MPa, as shown in the figure. Using Mohr's circle, determine (a) the stresses acting on an element oriented at a counterclockwise angle 0 = 20 from the x axis and (b) the principal stresses. Show all results on sketches of properly oriented elements. 16 MPa
The cross-sectional area of bar ABCD is 500 mm^2 . Determine the stress in segment BC
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 = 150 MPa, Sy = 21 MPa, and Sxy = 85 MPa. Assume β = 56°.(a) Draw Mohr’s circle for this state of stress.(b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16).(c) Determine the normal stresses and the magnitude of the shear stress on the indicated plane and show these stresses on a sketch.(d) Determine the absolute maximum shear stress at the point. Answer:(a) Draw Mohr's Circle for this state of stress.(b) σp1 = MPa σp2 = MPa τmax in-plane = MPa(c) σn = MPa τnt = MPa(d) τabs max = MPa
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 = 100 MPa, Sy = 15 MPa, and Sxy = 65 MPa. Assume β = 50°.(a) Draw Mohr’s circle for this state of stress.(b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16).(c) Determine the normal stresses and the magnitude of the shear stress on the indicated plane and show these stresses on a sketch.(d) Determine the absolute maximum shear stress at the point. Part 1. Calculate the average normal stress and determine the radius of Mohr's Circle. Then draw Mohr's Circle for this state of stress.Answer:
Q.1 At a point A in a stressed body, the maximum shear stress (Tmax = 12.21 ksi) and the corresponding normal stress (Gavg = 1 ksi) are oriented as shown (8-25°). Use Mohr's circle to determine the stresses o,0, and 7 on the horizontal and vertical planes at the point A. Sketch these stresses on the element A. Solution: y o = 1 ksi o = 1 ksi S Tmax= 12.21 ksi 0, = 25° A
Problem example Example 7-5: The state of plane stress at a point with respect to the xy- axes is shown in the figure. Using Mohr's circle, determine (a) The principal stresses and principal planes and sketch the results. (b) The maximum shear stress. (c) The state of stress with respect to the x'y'-axes. 20 MPa (+) A 16 MPa 50° X 40 MPa (+) 1. Omax 3. Op 7-42