Three equations to solve for three unknown vertical support reactions W = 3500 lb F = 250lb Bz Az Czġ8 Example (cont.) Vertical Forces W = 3500 lb F = 250lb Bz Az Czġ9 Example 26-02 (cont.) Moment About x-axis W = 3500 lb F = 250lb Bz AzĢ0 Example 26-02 (cont.) Moment About y-axis W = 3500 lb F = 250lb Bz AzĢ1 Example 26-02 (cont.) System of Equations Gaussian eliminationĢ2 Example 26-02 (cont. Determine the vertical component of force that each of the three struts at A, B, and C exerts on the silo if it is subjected to a resultant wind loading of 250 lb which acts in the direction shown.ġ6 Example 26-02 (cont.) Establish Cartesian Coordinate System Draw FBDġ7 Example 26-02 (cont.) What Equilibrium Equation Should be Used? Mo = 0 Why? Find moment arm vectors x y z TBC TBD F1= 3 kN F2 = 4 kN Ax Ay AzĮxample (cont.) Moment Equation x y z TBC TBD Due to symmetry TBC = TBD F1= 3 kN F2 = 4 kN Ax Ay Azġ1 Example 26-01 (cont.) Moment Equation z TBD F1= 3 kN TBC F2 = 4 kN Azġ2 Example 26-01 (cont.) Force Equilibrium z TBD F1= 3 kN TBC F2 = 4 kNġ3 Example 26-01 (cont.) Force Equilibrium z TBD F1= 3 kN TBC F2 = 4 kNġ4 Example 26-01 (cont.) Force Equilibrium z TBD F1= 3 kN TBC F2 = 4 kNġ5 Example 26-02 The silo has a weight of 3500 lb and a center of gravity at G. Explore the concept of net force and equilibrium in one-dimensional and simple two-dimensional contexts using: (ACSPH050). Unit vectors x y z TBC TBD F1= 3 kN F2 = 4 kN Ax Ay AzĨ Example 26-01 (cont.) Ball-and-Socket Reaction Forces Unit vectors zĩ Example 26-01 (cont.) What Equilibrium Equation Should be Used? Determine the components of reaction at the ball-and-socket joint A and the tension in the supporting cables BC and BD.ĥ Example 26-01 (cont.) Draw FBD Due to symmetry TBC = TBD z TBDĦ Example 26-01 (cont.) What are the First Steps?ĭefine Cartesian coordinate system Resolve forces Scalar notation? Vector notation? x y z TBC TBD F1= 3 kN F2 = 4 kN Ax Ay Azħ Example 26-01 (cont.) Cable Tension Forces Position vectors This structure is one of the most important forms of sacred geometry as it is the physical structure holding. 28 Preferred option Schedule time on Thursday Nov.15 or 22 Please Advise Class Representative of Preferenceģ Lecture 26 Objective to illustrate application of scalar and vector analysis for 3D rigid body equilibrium problemsĤ Example 26-01 The pipe assembly supports the vertical loads shown. To identify whether a force component is greater than, less than or equal to zero, one must look carefully on the direction of the force vector on the. This is the cube-octahedron 3D printed in plastic. 9 Two Options Use review class Wednesday Nov. 1 Lecture 26: 3D Equilibrium of a Rigid BodyĮNGI 1313 Mechanics I Lecture 26:ēD Equilibrium of a Rigid BodyĢ Schedule Change Postponed Class Two Optionsįriday Nov.
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