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2- Find the vertical deflection of the point C. Beam: A=5000 mm2, 1-60e6 mm4, E-70 GPa Bar: A= 500 mm2, E=70 GPa A D Bar 4 2 m 3 B Beam 4m C P=2 KN

2- Find the vertical deflection of the point C. Beam: A=5000 mm2, 1-60e6 mm4, E-70 GPa Bar: A= 500 mm2, E=70 GPa A D Bar 4 2 m 3 B Beam 4m C P=2 KN

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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**Deflection Analysis of a Structure: An Example** **Problem Description:** **Objective:** Determine the vertical deflection at point C of the structure. **Structure Details:** 1. A beam and an angled bar are connected to form the structure. 2. The beam extends horizontally and supports an external load. **Given Data:** - **Beam:** - Cross-sectional area (A): 5000 mm² - Moment of Inertia (I): 6.0e6 mm⁴ - Modulus of Elasticity (E): 70 GPa - **Bar:** - Cross-sectional area (A): 500 mm² - Modulus of Elasticity (E): 70 GPa - **External Load:** - P = 2 KN (applied at point C) - **Dimensions:** - Length from support A to B: 2 m - Length from point B to C: 4 m **Diagram Explanation:** The diagram depicts a structural system consisting of a beam horizontally extending from point A through point B to point C. An angular bar connects from point D on the vertical support (located at A) to the beam at point B. The load of 2 KN is applied vertically downward at point C, at the rightmost end of the beam. **Steps to Determine Vertical Deflection:** 1. **Identify supports and diagram configuration:** - Point A is the fixed support. - Point B is where the bar connects to the beam. 2. **Evaluate properties and areas:** - Identify the structural properties provided (I, A, E). 3. **Calculate Vertical Deflection:** - Use suitable structural analysis techniques (e.g. beam deflection formulas, superposition principle) for determining deflection. In this context, students learning structural analysis can utilize these details to calculate the vertical deflection of the point C with relevant formulas and methods as per their curriculum. **Note for Study:** Carefully assess the boundary conditions, and apply relevant beam deflection theories and principles of mechanics of materials to arrive at a solution.
Transcribed Image Text:**Deflection Analysis of a Structure: An Example** **Problem Description:** **Objective:** Determine the vertical deflection at point C of the structure. **Structure Details:** 1. A beam and an angled bar are connected to form the structure. 2. The beam extends horizontally and supports an external load. **Given Data:** - **Beam:** - Cross-sectional area (A): 5000 mm² - Moment of Inertia (I): 6.0e6 mm⁴ - Modulus of Elasticity (E): 70 GPa - **Bar:** - Cross-sectional area (A): 500 mm² - Modulus of Elasticity (E): 70 GPa - **External Load:** - P = 2 KN (applied at point C) - **Dimensions:** - Length from support A to B: 2 m - Length from point B to C: 4 m **Diagram Explanation:** The diagram depicts a structural system consisting of a beam horizontally extending from point A through point B to point C. An angular bar connects from point D on the vertical support (located at A) to the beam at point B. The load of 2 KN is applied vertically downward at point C, at the rightmost end of the beam. **Steps to Determine Vertical Deflection:** 1. **Identify supports and diagram configuration:** - Point A is the fixed support. - Point B is where the bar connects to the beam. 2. **Evaluate properties and areas:** - Identify the structural properties provided (I, A, E). 3. **Calculate Vertical Deflection:** - Use suitable structural analysis techniques (e.g. beam deflection formulas, superposition principle) for determining deflection. In this context, students learning structural analysis can utilize these details to calculate the vertical deflection of the point C with relevant formulas and methods as per their curriculum. **Note for Study:** Carefully assess the boundary conditions, and apply relevant beam deflection theories and principles of mechanics of materials to arrive at a solution.
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