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Two forces P1 and P2 are applied as shown to the end of a bar welded to a cylindrical member having a radius of 20 mm. Determine a) the normal and shearing stresses at point K, b) the principal stresses at point K and the orientation of principal axes, and c) the maximum absolute shear stress at point K. All dimensions are millimeters (mm) 50 r= 20 P2 = 18 kN 60 P1 = 15 kN CS Scanned with CamScanner

Two forces P1 and P2 are applied as shown to the end of a bar welded to a cylindrical member having a radius of 20 mm. Determine a) the normal and shearing stresses at point K, b) the principal stresses at point K and the orientation of principal axes, and c) the maximum absolute shear stress at point K. All dimensions are millimeters (mm) 50 r= 20 P2 = 18 kN 60 P1 = 15 kN CS Scanned with CamScanner

Structural Analysis
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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**Problem Statement:** Two forces, P1 and P2, are applied as shown to the end of a bar welded to a cylindrical member having a radius of 20 mm. Determine: a) The normal and shearing stresses at point K. b) The principal stresses at point K and the orientation of principal axes. c) The maximum absolute shear stress at point K. **Diagram Explanation:** The diagram illustrates a cylindrical member with a radius of 20 mm, denoted as "r = 20," aligned with the z-axis. The cylindrical member has a length of 60 mm along the x-axis and is subjected to two forces at its end: - \( P1 = 15 \, \text{kN} \) force acting in the positive x-direction. - \( P2 = 18 \, \text{kN} \) force acting in the positive y-direction. Point K is located on the perimeter of the cylinder at the intersection of a vertical plane through the cylinder's axis. ### Dimensions: - Cylinder radius: \( r = 20 \, \text{mm} \) - Length along x-axis: 60 mm - Length along y-axis: 50 mm - Axes are labeled as x, y, and z. All dimensions are provided in millimeters (mm).
Transcribed Image Text:**Problem Statement:** Two forces, P1 and P2, are applied as shown to the end of a bar welded to a cylindrical member having a radius of 20 mm. Determine: a) The normal and shearing stresses at point K. b) The principal stresses at point K and the orientation of principal axes. c) The maximum absolute shear stress at point K. **Diagram Explanation:** The diagram illustrates a cylindrical member with a radius of 20 mm, denoted as "r = 20," aligned with the z-axis. The cylindrical member has a length of 60 mm along the x-axis and is subjected to two forces at its end: - \( P1 = 15 \, \text{kN} \) force acting in the positive x-direction. - \( P2 = 18 \, \text{kN} \) force acting in the positive y-direction. Point K is located on the perimeter of the cylinder at the intersection of a vertical plane through the cylinder's axis. ### Dimensions: - Cylinder radius: \( r = 20 \, \text{mm} \) - Length along x-axis: 60 mm - Length along y-axis: 50 mm - Axes are labeled as x, y, and z. All dimensions are provided in millimeters (mm).
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