Homework%2017-2009

Homework%2017-2009 - minor principal stress of 5,000 psf....

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The University of Missouri-Columbia Department of Civil Engineering Assigned: Monday November 9, 2009 Due: Monday November 16, 2009 CE 3400 - Homework No. 17 State of Stress - Mohr's Circle 1. The state of stress at a point is as shown below. (a) Draw the Mohr's circle of stress and show the pole point (origin of planes). (b) Determine the major and minor principal stresses and show by means of a sketch the direction in which they act (use the pole point to determine the direction). (c) Determine the maximum shear stress and show by means of a sketch the direction of the two planes on which the maximum shear stress acts. (d) Determine the normal and shear stress on the plane inclined at 55° from the horizontal plane (as shown below). 55º σ = 3000 psf σ = 1500 psf τ = 500 psf 2. The state of stress at a point consists of a major principal stress of 10,000 psf and a
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Unformatted text preview: minor principal stress of 5,000 psf. The major principal stress acts in the vertical direction. (a) Draw the Mohr's circle of stress and show the pole point (origin of planes). (b) Determine the maximum shear stress. (c) Determine the normal stress and shear stress on a plane that makes an angle of 60 with the minor principal plane 3. The shear and normal stresses on a . horizontal plane (a) Draw the Mohr's circle of stress and show the pole point (origin of planes). are 2,000 and 5,000 psf, respectively. The shear and normal stresses on another plane are 1,000 and 3,000 psf, respectively. (b) Find the principal stresses and show by means of a sketch the direction in which they act. (c) Find the shear and normal stresses on a plane making an angle of 35 with the major principal plane....
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