60 MPa, 0y = At a point in a machine component that is subjected to plane stress, the normal and shear stresses are ox = 110 MPa, and Txy = 28 MPa, acting in the directions shown in the figure. Exy At this point, determine the strain components Ex, Ey, E, and Yxy. Assume that E = 72 GPa and v= 0.31 for the machine component. με με με μrad || 11 AN Yxy

60 MPa, 0y = At a point in a machine component that is subjected to plane stress, the normal and shear stresses are ox = 110 MPa, and Txy = 28 MPa, acting in the directions shown in the figure. Exy At this point, determine the strain components Ex, Ey, E, and Yxy. Assume that E = 72 GPa and v= 0.31 for the machine component. με με με μrad || 11 AN Yxy

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

At a point in a machine component that is subjected to plane stress, the normal and shear stresses are o, = 80 MPa, o, = 20 MPa, and Try = 70 MPa, acting in the directions shown in the figure. ox At this point, determine the strain components £, £y, E, and Yay.. Assume that E-70 GPa and v- 0.30 for the machine component. Ex = με Ey = не E₂ = Yxy = με μrad
At a point in a machine component that is subjected to plane stress, the normal and shear stresses are o, = 40 MPa, o, = 95 MPa, and Txy = 42 MPa, acting in the directions shown in the figure. Txy Ox At this point, determine the strain components &x, &y, &, and %xy. Assume that E = 73 GPa and v= 0.32 for the machine component. Ex = με Ey = με Ez = με Yxy = μrad
PROBLEM 1 A circular aluminum tube of L=600mm is loaded in by compressive forces at its ends. The outside and inside diameters are 75mm and 63mm respectively. A strain gage is placed on the outside of the tube to measure nomal strains in the longitudinal direction. E=73 GPa and Poisson's is 0.33. a. If the normal stress in the tube is 57 MPa, what is the load P? b. if the strain is 781 X 10-6, what is the shortening of the tube? What is the percent change in its cross-sectional area.
At a point in a component, the state of stress is shown on the element below. Assume that the stress magnitudes are s, = 7232 psi and Sy = 4790 psi. The stresses act in the directions indicated in the figure. Determine the magnitude of the absolute maximum shear stress that acts at the point. Oy Os ↑ Answer: psi Tmax =
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 $x = 16.5 ksi, $y = 2.5 ksi, and Sxy= 7.2 ksi. Assume = 20°. Determine the normal stresses σ, and oy and the shear stress Txy at the point. Answers: 0x = Oy = Ivi = σy Txy ksi. ksi. ksi.
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 5x = 19.6 ksi, 5y = 4.3 ksi, and Sxy= 7.3 ksi. Assume ß = 38°. Determine the normal stresses ox and 6, and the shear stress Txy at the point. Say Sx Txy Answers: 0x = oy = Txy || ox ksi. ksi. ksi.
0° The stresses at a point in a bar are o1 = 29 N/mm2 (tensile) and o2= 14 N/mm2 (compressive) as shown in Figure (a) Determine the normal, tangential and resultant stress in magnitude and direction on a plane inclined at 55° to the axis of the major stress. (b) Determine the maximum intensity of shear stress in the material at the point. (c) Also, solve the same problem using Mohr's circle method and compare the results. Axis of Major Stress 55 02
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.
At a point in a machine component that is subjected to plane stress, the normal and shear stresses are σx=σx= 60 MPa, σy=σy= 80 MPa, and τxy=τx⁢y= 42 MPa, acting in the directions shown in the figure. At this point, determine the strain components εxεx, εyεy, εzεz, and γxyγx⁢y. Assume that E = 72 GPa and v = 0.29 for the machine component.
A thin square plate is uniformly deformed as shown in the figure. Assume a - 100 mm, b-15 mm, c-85 mm, and d - 115 mm. Determine the shear strain ay after deformations (a) at corner P (b) at corner Q. b R P Answers: (a) Yr = (b) Yo = i| i S 1 1 rad rad
Q.5 A component of machine made of steel which resist a biaxial state of stress o,= -120 MPa and t = 100 MPa. Check whether this part is safe or fail using 1. Max. principal stress theory 2. Max principal strain theory 3. Max. distortion energy theory.
1) The state of plane stress at a point is shown on the element in Figure. Determine the maximum in-plane shear stress at this point. B 50 MPa ox Ox= -80 MPa = +50 MPa Oy Txy = -25 MPa 80 MPa 80 MPa A 25 MPa Ľ 50 MPa