hw help For the soil elements shown below, determine the maximum and minimum principal stress and the normal and shear stresses on plane AB. Use the **graphical solution**. Draw your Mohr circle neatly with a compass (or Autocad), NO HAND DRAWINGS OR SKETCHES. Use proper axis – scaling.### Diagram Explanation#### Left Diagram:- **Element Orientation**: The element is oriented with a diagonal line labeled plane AB.- **Stresses**: - Vertical stress: 400 lb/ft² (compressive downward) at the top, 800 lb/ft² (compressive upward) at the bottom. - Horizontal stress: 300 lb/ft² (compressive leftward) on both sides.- **Shear Stress**: 750 lb/ft² acting clockwise.- **Angle**: 45° relative to the horizontal for plane AB.#### Right Diagram:- **Element Orientation**: The element shows a diagonal labeled plane AB.- **Stresses**: - Vertical stress: 125 lb/ft² at the top, 300 lb/ft² at the bottom. - Horizontal stress: 55 lb/ft² (compressive leftward) on both sides.- **Angle**: 20° relative to the horizontal for plane AB.These diagrams illustrate the state of stress on two different soil elements, requiring the graphical solution of Mohr's circle to determine principal stresses and planes.

“Since you have posted multiple questions, we will provide the solution only to the first question as per our Q&A guidelines. Please repost the remaining questions separately"Sign Convention:Compressive stresses are taken as negativeShear stress that tends to rotate y plane in clockwise direction is negative. 1) Plot Normal stress on x-axis and shear stresses on y-axis2) Locate point A (-750,-300) and B (-400,300)3) Take scale of 100 psf = 1 cm i.e. A (-7.5,-3) and B (-4,3)4) Mid-point of line AB will be at 'O' which is centre of Mohr circle 5. Taking 'O' as centre and OA as radius, draw a circle.6. The point on x-axis where Mohr circle intersects are point of maximum and minimum principal stresses.7. The maximum height of Mohr circle represents maximum shear stress.Maximum Principal stress = 922.31 psfMinimum Principal stress = 227.69 psfMinimum Shear stress = 347.3 psfAs angle in Mohr circle is double than that of planar element. Hence, a line at needs to be drawn.The point is located to be at 8.75 cm and 1.75 cm.Normal stress on plane AB= -875 psfShear stress on plane AB= 175 psfPrincipal and maximum shear stressesMaximum Principal stress = 922.31 psfMinimum Principal stress = 227.69 psfMinimum Shear stress = 347.3 psfStresses on Oblique plane ABNormal stress on plane AB= -875 psfShear stress on plane AB= 175 psf

Engineering

Civil Engineering

For the soil elements shown below, determine the maximum and minimum principal stress and the normal and shear stresses on plane AB. Use the graphical solution. Draw your Mohr circle neatly with a compass (or Autocad), NO HAND DRAWINGS OR SKETCHES. Use proper axis - scaling.

For the soil elements shown below, determine the maximum and minimum principal stress and the normal and shear stresses on plane AB. Use the graphical solution. Draw your Mohr circle neatly with a compass (or Autocad), NO HAND DRAWINGS OR SKETCHES. Use proper axis - scaling.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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