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Civil Engineering
В 10in 10in D 1.5in 2in

В 10in 10in D 1.5in 2in

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 A single horizontal force \( P \) of 125 lb magnitude is applied to the end \( D \) of lever \( ABD \). Determine: (a) The normal and shear stresses on an element at point \( H \) having sides parallel to the \( x \) and \( y \) axes. (b) The principal planes and principal stresses at the point \( H \). ### Diagram Description The diagram illustrates a right-angle lever \( ABD \) with a horizontal force \( P \) applied at the free end \( D \). The lever consists of two segments: - Segment \( AB \): Vertical segment with a length of 10 inches. - Segment \( BD \): Horizontal segment with a length of 10 inches. The cross-section of the lever \( BD \) is shown as a circle with a radius of 1.5 inches. The point \( H \) is located on segment \( AB \), 2 inches from the fixed support at \( A \). The coordinate axes \( x, y, \) and \( z \) are indicated, with \( x \) being horizontal, \( y \) vertical, and \( z \) perpendicular to the plane of the lever. The task requires using mechanics of materials principles to determine stresses at a specified point and orientation of the member.
Transcribed Image Text:### Problem Statement A single horizontal force \( P \) of 125 lb magnitude is applied to the end \( D \) of lever \( ABD \). Determine: (a) The normal and shear stresses on an element at point \( H \) having sides parallel to the \( x \) and \( y \) axes. (b) The principal planes and principal stresses at the point \( H \). ### Diagram Description The diagram illustrates a right-angle lever \( ABD \) with a horizontal force \( P \) applied at the free end \( D \). The lever consists of two segments: - Segment \( AB \): Vertical segment with a length of 10 inches. - Segment \( BD \): Horizontal segment with a length of 10 inches. The cross-section of the lever \( BD \) is shown as a circle with a radius of 1.5 inches. The point \( H \) is located on segment \( AB \), 2 inches from the fixed support at \( A \). The coordinate axes \( x, y, \) and \( z \) are indicated, with \( x \) being horizontal, \( y \) vertical, and \( z \) perpendicular to the plane of the lever. The task requires using mechanics of materials principles to determine stresses at a specified point and orientation of the member.
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