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 ,, ,, ,, and Yay- Assume that E-70 GPa and v- 0.30 for the machine component. £x = με Ey = не E₂ = Yxy = не μrad

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 ,, ,, ,, and Yay- Assume that E-70 GPa and v- 0.30 for the machine component. £x = με Ey = не E₂ = Yxy = не μrad

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

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 400 psi in size. (a) Determine the stresses Ox, ay, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). x Ø с y Answer: (a) ox= i dy=i Txy= (b) Op1 = Op2 = Tmax in-plane= i i psi psi psi psi psi psi O
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 700 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). y C X b
The three equally spaced vertical rods in Fig. (a) are securely attached to a rigid horizontal bar. The two outer rods are made of an aluminum alloy, and the middle rod is steel. The cross- sectional areas of the rods are shown in the figure. Determine the residual stresses in the rods after the load P has been increased from zero to the limit load and then removed. The material properties are E = 70 GPa, Oyp = 330 M Pafor aluminum, and E = 200 GPa, Typ 290 MPa for steel. Neglect the weight of the bar. Aluminum 600 mm² Steel (a) շատ (06 Aluminum 600 mm² 250 mm 100 mm
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 180 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). y -~) C X b
4
A load of 1000 N is applied as shown in figure, given cross-sectional area of bar 1 & 2 is 100 mm² & 80 mm2, young modulus of elasticity E₁ = 120 GPa, E₂ = 150 GPa. Calculate the minimum normal stress (in MPa) (1) (2) P= P= 1000 N
2
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 480 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). X Ø C Answer: (a) ox= i psi Oy= i psi Txy= i psi (b) Op1 = psi Op2 = i psi Tmax in-plane = i 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.
A state of stress is specified in the figure shown below. Determine the Normal stress oy (mPa) on the Principal Plane if P1 = -9mPa; P2 = 47mPa and v= 25mPa P1 P2
2. For the given state of stress shown in figure 2. 48 MPa Figure 2. a. Construct Mohr's circle for this plane stress. ||₁6 16 MPa 60 MPa Determine the principal stresses and principal planes.
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 400 psi in size. (a) Determine the stresses o, Oy, and the magnitude of Tyand show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-planeshear stress acting at the point and show these stresses on an appropriate sketch (eg., see Figure 12.15 or Figure 12.16). C Answer: (a) Ox- psi Oy - psi Txy - psi (b) Op1= psi Op2 = psi Tmax in-plane= psi