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The principal strains at a point on the aluminum surface of a tank are
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Statics and Mechanics of Materials (5th Edition)
- A single strain gage, placed in the vertical plane on the outer surface and at an angle 60° to the axis of the pipe, gives a reading at point A of PA = -250(10-6). Determine the principal strains in the pipe at this point. The pipe has an outer diameter of 1 in. and an inner diameter of 0.6 in. and is made of C86100 bronze.arrow_forwardBefore loading the plate, mark a line with the inclination shown. After the load is applied, the slope of the line decreases by 5x10^-3 rad. Determine the normal stress ?. Consider E = 2.1x106 kgf/cm^2 and v = 0.30. Express your answer in units of kgf/cm^2.arrow_forwardDetermine the principal stresses, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the element in each case.arrow_forward
- Determine the equivalent state of stress on an element at the same point that represents the maximum in-plane shear stress at the point.arrow_forwardDetermine the average normal stress at points A, B, and C. The diameter of each segment is indicated in the figure.arrow_forwardDetermine the principal stresses and the absolute maximum shear stress.arrow_forward
- Determine the average normal stress developed at points A, B, and C. The diameter of each segment is indicated in the figure.arrow_forwardThe normal stresses at a point in a steel member are σx = 8 ksi, σy = -4 ksi, and σz = 10 ksi. Using E = 29x103 ksi and ν=0.3, determine the normal strains at this point. a)Ex b)Ey c)Eyarrow_forwardThe rod BD is made of material with G1= 124 GPa has a diameter 34 mm is bonded to the tube CA at point B, the tube made of material with G2=211 GPa has an outer diameter 73 mm and wall thickness of 10 mm. If T1=579 N.m and T2=1042 N.m, answer the following questions: The maximum shear stress of the rod BD is The maximum shear stress of the tube CA is The maximum shear stress of the assembly is The angle of twist between D and B is The angle of twist between C and A is The angle of twist at D is Your answer The angle of twist between C and B is Your answer The reaction at point A isarrow_forward
- 1) Determine the principal stresses. 2) Specify the orientation of the elementarrow_forwardUse Mohr's Circle to determine the maximum shear stress on the element, also using Mohr's Circle determine the maximum normal stress on the element.arrow_forwardDetermine the state of stress at point B on the cross section of the post at section a-a given that P = 5.5 kN, F = 3.4 kN. A)Determine the normal stress at point B. B) Determine the shear stress component [(τxz)V]B at point B. C) Determine the shear stress component [(τxy)V]B at point B.arrow_forward
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