At a point in an elastic material there are two mutually perpendicular planes, one of which carries a direct tensile stress of 50 N/mm² and a shear stress of 40 N/mm² while the other plane is subjected to a direct compressive stress of 35 N/mm² and a complementary shear stress of 40 N/mm². Determine the principal stresses at the point, the position of the planes on which they act and the position of the planes on which there is no direct stress. Ans. o1 = 65.9 N/mm², 0 = -21.6°, o1=-50.9 N/mm², 0 = -111.6°. No direct stress on planes at 27.1° and 117.1° to the plane on which the 50 N/mm2 stress acts.

At a point in an elastic material there are two mutually perpendicular planes, one of which carries a direct tensile stress of 50 N/mm² and a shear stress of 40 N/mm² while the other plane is subjected to a direct compressive stress of 35 N/mm² and a complementary shear stress of 40 N/mm². Determine the principal stresses at the point, the position of the planes on which they act and the position of the planes on which there is no direct stress. Ans. o1 = 65.9 N/mm², 0 = -21.6°, o1=-50.9 N/mm², 0 = -111.6°. No direct stress on planes at 27.1° and 117.1° to the plane on which the 50 N/mm2 stress acts.

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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