The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 22 MPa, Sy = 26 MPa, and Sxy = 27 MPa. Assume ß = tan-¹ (2-) = 31.0°, a = 5, and b = 3. Using the equilibrium equation approach, determine the normal and shear stresses (positive if tensile, negative if compressive) and (magnitude only) at this point on the inclined plane shown. Sxy Sx Answers: MPa. 0= i tel MPa, T = i

The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 22 MPa, Sy = 26 MPa, and Sxy = 27 MPa. Assume ß = tan-¹ (2-) = 31.0°, a = 5, and b = 3. Using the equilibrium equation approach, determine the normal and shear stresses (positive if tensile, negative if compressive) and (magnitude only) at this point on the inclined plane shown. Sxy Sx Answers: MPa. 0= i tel MPa, T = i

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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Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at
the point are Sx = 22 MPa, Sy= 26 MPa, and Sxy= 27 MPa. Assume ß = tan-¹ (2) = 31.0°, a = 5, and b = 3. Using the equilibrium
equation approach, determine the normal and shear stresses o (positive if tensile, negative if compressive) and T (magnitude only) at
this point on the inclined plane shown.
Sxy
Answers:
MPa.
0 =
i
Sx
MPa, T =

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