A 3 Hinged Portal Frame As Shown In Fig 2 1 Is Considered The Supports At Points A And E Are Hinged Or Pinned Furth 1 (53.37 KiB) Viewed 12 times
A 3 Hinged Portal Frame As Shown In Fig 2 1 Is Considered The Supports At Points A And E Are Hinged Or Pinned Furth 2 (16.76 KiB) Viewed 12 times
A 3-hinged portal frame as shown in Fig. 2.1 is considered. The supports at points A and E are hinged (or pinned). Further, there is a hinge at point C. Due to the fact that there are three hinges, the frame is statically determinate. The moment is zero at the hinges. All the beam parts AB, BC, CD, and DE have the same and constant cross section. The cross section area is A, the shear area is As, the moment of inertia is ly, the modulus of elasticity (or Young's modulus) is E and the shear modulus (or modulus of rigidity) is G. The height of the frame is Hand the span is L. The frame is in general loaded by a horizontal force, P, acting in point B and a vertical uniformly distributed load, q, (units: N/m) acting on the beam parts BC and CD. The load P is a wind load and q is due to self-weight of the structure, snow, and wind. 9 P- B B D B D H L. Do 2L/3 L/3 Fig. 2.1 Geometry, loading, support conditions, and specified positive directions for 3-hinged portal frame
Normal force, shear force, and moment diagrams: Q2.1: Draw the normal force, shear force, and moment diagrams for P acting alone Q2.2: Draw the normal force, shear force, and moment diagrams for q acting alone Q2.3: Draw the normal force, shear force, and moment diagrams for P and q acting simultaneously
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