**Stability**Classify each of the following systems as stable or unstable. If unstable, indicate which "degrees of freedom" are unrestrained.---### Diagram 1:**Description:**- This system shows a horizontal beam with point supports at both ends marked as A and C.- The beam length is divided into two segments: 50 mm to point B and another 50 mm to point C.- There are springs (denoted by k) under points A and B.- A vertical force F is applied at point C.- There’s also an additional 10 mm gap beneath point C.**Stability Analysis:**- The beam is supported at both ends with point B acting as an intermediary with spring support, suggesting potential stability depending on the stiffness of the springs (k). - Consideration of the force F and the 10 mm gap at point C is crucial for determining stability. ---### Diagram 2:**Description:**- A three-dimensional cable structure is shown with points A, B, C, D, and E.- Points C and D are connected by cables to a central point A on the z-axis, each 2 m away.- The base is formed of points B and E on the x-y plane, each 3 m apart, with a 600 N force at point E.**Cables:**- Assume the cables are effective in tension or compression.**Stability Analysis:**- Determine stability based on the tension or compression forces in the cables and their ability to counterbalance the applied force and maintain equilibrium. ---### Diagram 3:**Description:**- This diagram features a bent beam supported at three points (A, B, C).- Point A is at a height of 1 m along the z-axis.- Point B is positioned at a tangent with 3 m on the x-axis and 1 m along the y-axis.- Point C is further 2 m along the y-axis.- A 500 N vertical force is applied downward at point B.**Supports:**- Points A, B, and C are smooth journal supports.**Stability Analysis:**- Evaluate the system's balance considering the applied force and the smoothness of the journal supports, which allow rotation but prevent translation.--- For each diagram, analyze mechanical conditions, such as force application and structural constraints, to determine whether the system is in a state of stable equilibrium

Stability Classify each of the following systems as stable or unstable. If unstable, indicate which "degrees of freedom" are unrestrained. B 50 mm- 1m k 3 m B 3 m 600 N -50 mm 2m 500 N m A -3 m [assume the cables are effective in tension or compression] D 2m 10 mm 3 m [A, B, and C are smooth journal supports]

Stability Classify each of the following systems as stable or unstable. If unstable, indicate which "degrees of freedom" are unrestrained. B 50 mm- 1m k 3 m B 3 m 600 N -50 mm 2m 500 N m A -3 m [assume the cables are effective in tension or compression] D 2m 10 mm 3 m [A, B, and C are smooth journal supports]

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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