a) At a point on the free surface of a stressed body, the normal tensile stress of 20 MPa is acting on a vertical plane. The normal compressive stress of 30 MPa is developing on a horizontal plane. Unknown negative shear stress also exists on the vertical plane. i) Show these stresses on an appropriate sketch. ii) Determine the unknown negative shear stress if the maximum shear stress at the point has a magnitude of 32 MPa. iii)Determine the principal stresses, normal and shear stress if the element oriented 500from the x-axis
a) At a point on the free surface of a stressed body, the normal tensile stress of 20 MPa is acting on a vertical plane. The normal compressive stress of 30 MPa is developing on a horizontal plane. Unknown negative shear stress also exists on the vertical plane. i) Show these stresses on an appropriate sketch. ii) Determine the unknown negative shear stress if the maximum shear stress at the point has a magnitude of 32 MPa. iii)Determine the principal stresses, normal and shear stress if the element oriented 500from the x-axis
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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a) At a point on the free surface of a stressed body, the normal tensile stress of 20 MPa is acting on a vertical plane. The normal compressive stress of 30 MPa is developing on a horizontal plane.
Unknown negative shear stress also exists on the vertical plane.
i) Show these stresses on an appropriate sketch.
ii) Determine the unknown negative shear stress if the maximum shear stress at the point has a magnitude of 32 MPa.
iii)Determine the principal stresses, normal and shear stress if the element oriented 500from the x-axis.
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