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Problem 7.26 Use the virtual work method to determine the deflection at point C of the beam shown. 200 kN FIG. P7.16, P7.18 100 kN D ALE В C 5 m 10 m 5 m I 21 I E = constant = 250 GPa %3D I = 600(106) mm4 FIG. P7.26, P7.30, P7.61

Problem 7.26 Use the virtual work method to determine the deflection at point C of the beam shown. 200 kN FIG. P7.16, P7.18 100 kN D ALE В C 5 m 10 m 5 m I 21 I E = constant = 250 GPa %3D I = 600(106) mm4 FIG. P7.26, P7.30, P7.61

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 7.26** Use the virtual work method to determine the deflection at point \( C \) of the beam shown. The diagram provided illustrates a beam supported at two points, A and D. The beam is subject to two downward forces: a 200 kN force at point B and a 100 kN force at point C. The distances on the beam are divided as follows: from A to B is 5 meters, from B to C is 10 meters, and from C to D is 5 meters. - \( E \) (Young's Modulus) is given as a constant value of 250 GPa. - \( I \) (Moment of Inertia) is \( 600 \times 10^6 \) mm\(^4\). **Explanation of the Diagram:** - **Supports:** There are two types of supports shown. At point A, there is a fixed support, suggested by a triangular symbol, and at point D, there is a roller support, indicated by a semicircular symbol. - **Forces:** Vertical arrows denote forces acting downward at specific points (B and C) on the beam. The task involves using the principles of virtual work to calculate how much point C deflects under the given loading conditions.
Transcribed Image Text:**Problem 7.26** Use the virtual work method to determine the deflection at point \( C \) of the beam shown. The diagram provided illustrates a beam supported at two points, A and D. The beam is subject to two downward forces: a 200 kN force at point B and a 100 kN force at point C. The distances on the beam are divided as follows: from A to B is 5 meters, from B to C is 10 meters, and from C to D is 5 meters. - \( E \) (Young's Modulus) is given as a constant value of 250 GPa. - \( I \) (Moment of Inertia) is \( 600 \times 10^6 \) mm\(^4\). **Explanation of the Diagram:** - **Supports:** There are two types of supports shown. At point A, there is a fixed support, suggested by a triangular symbol, and at point D, there is a roller support, indicated by a semicircular symbol. - **Forces:** Vertical arrows denote forces acting downward at specific points (B and C) on the beam. The task involves using the principles of virtual work to calculate how much point C deflects under the given loading conditions.
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