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There is structure (see the figure below) under two external loadings: 20 N horizontal and 10 N vertical at D and E, respectively. The structure consists of 4 members, AB, CD, DE, and CE. The structure is supported by two grounded pins at C and A. The lengths are shown in the figure. The cross-section areas are 1 cm² everywhere in AB and 10 cm? everywhere in CE. 1) 2) 3) 4) Find the support reactions at C. Find the internal force(s) in AB. Find the normal stress in AB. Find the normal force in DE. Find the normal stress at a-a in CE. 5) Find the shear force and shear stress at a-a. -20 N 45° 1 m 45° C 30 10 N 0.5 m 0.25 m' 0.25 m'

There is structure (see the figure below) under two external loadings: 20 N horizontal and 10 N vertical at D and E, respectively. The structure consists of 4 members, AB, CD, DE, and CE. The structure is supported by two grounded pins at C and A. The lengths are shown in the figure. The cross-section areas are 1 cm² everywhere in AB and 10 cm? everywhere in CE. 1) 2) 3) 4) Find the support reactions at C. Find the internal force(s) in AB. Find the normal stress in AB. Find the normal force in DE. Find the normal stress at a-a in CE. 5) Find the shear force and shear stress at a-a. -20 N 45° 1 m 45° C 30 10 N 0.5 m 0.25 m' 0.25 m'

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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The given problem involves a mechanical structure under two external loadings: a 20 N horizontal force at point D and a 10 N vertical force at point E. The structure consists of four members: AB, CD, DE, and CE. It is supported by two grounded pins located at points C and A. The lengths of the members are illustrated in the diagram: - Segment AB is inclined at an angle of 30° to the horizontal. - The angle between members CD and CE is 45°. The cross-sectional areas are: - 1 cm² for members AB and DE. - 10 cm² for member CE. Tasks to solve: 1. Determine the support reactions at point C. 2. Calculate the internal force(s) in member AB. 3. Compute the normal stress in member AB. 4. Determine the normal force in member DE. 5. Find the normal stress at section a-a in member CE. 6. Calculate the shear force and shear stress at section a-a. Diagram Description: - A vertical line from point C to D represents member CD, with a length of 1 m. - A diagonal line from C to E and another from D to E form a right triangle, both inclined at 45°. - The base from A to C is along the horizontal axis, with A to B extending at a 30° angle downward. Loadings: - A 20 N horizontal load is applied at point D. - A 10 N vertical load is applied at point E, directed downwards. This problem requires analysis of statics and material mechanics principles to solve for forces and stresses in the structure.
Transcribed Image Text:The given problem involves a mechanical structure under two external loadings: a 20 N horizontal force at point D and a 10 N vertical force at point E. The structure consists of four members: AB, CD, DE, and CE. It is supported by two grounded pins located at points C and A. The lengths of the members are illustrated in the diagram: - Segment AB is inclined at an angle of 30° to the horizontal. - The angle between members CD and CE is 45°. The cross-sectional areas are: - 1 cm² for members AB and DE. - 10 cm² for member CE. Tasks to solve: 1. Determine the support reactions at point C. 2. Calculate the internal force(s) in member AB. 3. Compute the normal stress in member AB. 4. Determine the normal force in member DE. 5. Find the normal stress at section a-a in member CE. 6. Calculate the shear force and shear stress at section a-a. Diagram Description: - A vertical line from point C to D represents member CD, with a length of 1 m. - A diagonal line from C to E and another from D to E form a right triangle, both inclined at 45°. - The base from A to C is along the horizontal axis, with A to B extending at a 30° angle downward. Loadings: - A 20 N horizontal load is applied at point D. - A 10 N vertical load is applied at point E, directed downwards. This problem requires analysis of statics and material mechanics principles to solve for forces and stresses in the structure.
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