Engineering Mechanics Lecture 6 PDF

Engineering Mechanics by Dr. Ahmed Abdel-Aleem Amin Ph.D. – Mechanical Design and Production Engineering Department [email protected]  Engineering Mechanics (Statics) Lecture 6: Part 1 Equilibrium of Rigid Body in 2D...

Engineering Mechanics by Dr. Ahmed Abdel-Aleem Amin Ph.D. – Mechanical Design and Production Engineering Department [email protected]  Engineering Mechanics (Statics) Lecture 6: Part 1 Equilibrium of Rigid Body in 2D  3 Equilibrium of Rigid Body Rigid Body The necessary and sufficient conditions for the equilibrium of a rigid body 11/6/2024 ©  4 Free Body Diagram Rigid Body 11/6/2024 ©  5 Free Body Diagram Rigid Body 11/6/2024 ©  6 Reactions for a Two-Dimensional Rigid Body Structure 11/6/2024 ©  7 Reactions for a Two-Dimensional Rigid Body Structure 11/6/2024 ©  8 Reactions for a Two-Dimensional Rigid Body Structure 11/6/2024 ©  9 Equilibrium in Two Dimensions Rigid Body 11/6/2024 ©  10 Rigid-Body Equilibrium in Two Dimensions Rigid Body Statically determinate Reactions Statically Indeterminate and Partial Constraints Reactions and Partial Constraints 11/6/2024 ©  11 A fixed crane has a mass of 1000 kg and is used to Example 1 lift a 2400-kg crate. It is held in place by a pin at A and a rocker at B. The center of gravity of the crane is located at G. Determine the components of the reactions at A and B. 11/6/2024 ©  12 Example 1 11/6/2024 ©  13 Determine the support reactions on the member. Example 2 The collar at A is fixed to the member and can slide vertically along the vertical shaft. 11/6/2024 ©  14 The frame shown supports part of the roof of a Example 3 small building. Knowing that the tension in the cable is 150 kN, Determine the reaction at the fixed end E. 11/6/2024 ©  15 The beam is subjected to loads as shown. Homework Determine the reactions at A and B. 11/6/2024 ©  16 Example 4 11/6/2024 ©  17 Example 4 11/6/2024 ©  Engineering Mechanics (Statics) Lecture 6: Part 2 Equilibrium of Rigid Body in 3D  19 Rigid-Body Equilibrium in Three Dimensions Rigid Body 11/6/2024 ©  20 Rigid-Body Equilibrium in Three Dimensions Rigid Body 11/6/2024 ©  21 Rigid-Body Equilibrium in Three Dimensions Rigid Body 11/6/2024 ©  22 A 20-kg ladder used to reach high shelves in a Example 4 storeroom is supported by two flanged wheels A and B mounted on a rail and by a flangeless wheel C resting against a rail fixed to the wall. An 80-kg man stands on the ladder and leans to the right. The line of action of the combined weight W of the man and ladder intersects the floor at point D. Determine the reactions at A, B, and C. 11/6/2024 ©  23 A 20-kg ladder used to reach high shelves in a Example 4 storeroom is supported by two flanged wheels A and B mounted on a rail and by a flangeless wheel C resting against a rail fixed to the wall. An 80-kg man stands on the ladder and leans to the right. The line of action of the combined weight W of the man and ladder intersects the floor at point D. Determine the reactions at A, B, and C. 11/6/2024 ©  24 A 20-kg ladder used to reach high shelves in a Example 4 storeroom is supported by two flanged wheels A and B mounted on a rail and by a flangeless wheel C resting against a rail fixed to the wall. An 80-kg man stands on the ladder and leans to the right. The line of action of the combined weight W of the man and ladder intersects the floor at point D. Determine the reactions at A, B, and C. 11/6/2024 ©  25 Determine the components of reaction that the Example 5 ball-and-socket joint at A, the smooth journal bearing at B, and the roller support at C exert on the rod assembly 11/6/2024 ©  26 Determine the components of reaction that the Example 5 ball-and-socket joint at A, the smooth journal bearing at B, and the roller support at C exert on the rod assembly 11/6/2024 © 11/6/2024