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 = 40 ksi, Sy = 16 ksi, and Sxy = 54 ksi. (a) Determine the principal stresses (0,1 > 2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle , (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) Answers: Opl = Op2 = i Tmax = i 0p = i Sxy ksi. ksi. ksi.

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 = 40 ksi, Sy = 16 ksi, and Sxy = 54 ksi. (a) Determine the principal stresses (0,1 > 2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle , (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) Answers: Opl = Op2 = i Tmax = i 0p = i Sxy ksi. ksi. ksi.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The machine component shown in Figure below is subjectedto a load P = 450 lb that acts at an angle β = 25°. The dimensionsof the component are a = 4.0 in., b = 0.625 in., c = 2.0 in., andd = 2.5 in. Determine the normal and shear stresses acting on horizontaland vertical planes(a) at point H, which is located at a distance yH = 0.5 in. abovethe z centroidal axis.(b) at point K, which is located at a distance yK = 0.75 in. belowthe z centroidal axis.Show the stresses on a stress element for each point
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= 14 MPa, S, = 29 MPa, and Sy = 39 MPa. (a) Determine the principal stresses (o,1 > op2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle 0, (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) Sy Answers: Opl = i MPa. Op2 = i MPa. Tmax = i MPa. Op i
nc./Johan H σy 7.2-1 The stresses on the bottom surface of a fuel tanker (figure part a) are known to be o = 7750 psi, = 1175 psi, and 7 xy = 940 psi (figure part b). Determine the stresses acting on an element oriented at an angle = 55° from the x axis, where the angle is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle 0. (a) PROBLEM 7.2-1 (b) 1175 psi Ţ 940 psi 7750 psi 7.2-5 The stresses acting on element A on the web of a train rail (see figure part a) are found to be 6500 psi tension in the horizontal direction and 18,500 psi com- pression in the vertical direction (see figure part b). Also, shear stresses with a magnitude of 3800 psi act in the directions shown. Determine the stresses acting on an element ori- ented at a counterclockwise angle of 30° from the horizontal. Show these stresses on a sketch of an ele- ment oriented at this angle. Cross Section (a) PROBLEM 7.2-5 B A Side View A (b) 18,500 psi 76500 psi 3800 psi
The state of stress at a point in a structure is shown in the following figure.Determine:(a) The forces acting on an element oriented at an angle in the directioncounterclockwise angle = 40 ° from the x-axis (Show results in a sketch ofcorrectly oriented)(b) Find the maximum shear stress with its average stress (Show theresults in a correctly oriented sketch).
The forces applied to the pulleys are given in the figure below. Accordingly, show the stress condition at point A on a 2-dimensional stress element and find the Von-Misses equivalent stress.
pru 7 Oy enüz žvaplanmadı Ot .00 üzerinden aretlenmiş Txy Soruyu aretle Ka Tnt Ox On (a) (b) On the surface of a structural member, stresses are given as ox=61 MPa, oy=32,7 MPa and Txy=-28,1 as shown in figure (a). Determine the maximum principal stress (MPa). Note: If the stress is compressive, use - sign. Yanıt:
Current Attempt in Progress 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 5x = 36 MPa, Sy = 87 MPa, and Sxy = 25 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point. Answer: (a) Op1 = Op2 = Tmax in-plane Sxy (c) Tmax abs MPa MPa MPa (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) MPa
For the plane stress state shown: (a) Determine the principal stresses and show them on a properly oriented element. For this part, use the transformation equations only and not Mohr's circle. (b) Repeat part (a) using Mohr's circle. (c) Determine the maximum shear stress and show the complete state of stress on a properly oriented element containing this maximum shear stress. 25 kpsi 15 kpsi 12 kpsi X
For the stress state shown in the figure below, use the Mohr’s circle method to determine (a) the maximum and minimum principal stresses, (b) the orientations of the maximum and minimum principal stresses (c) how the principal stresses on a properly oriented element. (d) Draw Mohr’s circle using a ruler and a compass
Please help me with this , i really can't thank you enough
Q1: The stresses measured at a point on bone are oy =5 MPa ,o, = -7 MPa and 1,,=2.4 MPa find: 1. The principal strains and maximum shear strain. 2. The strain energy . Knowing that the poisonratio v=0.3 and the unit volume change =5.6x10
just part c, please