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Tutorial 2 MECH 101

In today's tutorial, we will delve into the foundational concepts of general equilibrium in mechanics, focusing on how to select and draw free body diagrams effectively. We'll explore building equilibrium equations in both 2D and 3D contexts. Through examples, we will determine reactions at specific points in a structure, find horizontal and vertical reaction components, and analyze forces acting on members of a system. Key skills covered include isolating free bodies, resolving sums, and handling complex load conditions.

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Tutorial 2 MECH 101

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  1. Tutorial 2 MECH 101 Liang Tengfei tfliang@ust.hk Office phone : 2358-8811 Mobile : 6497-0191 Office hour : 14:00-15:00 Fri

  2. General Equilibrium Problems Equilibrium Conditions: 2D: 3D: Today we will focus on: How to select the free body? How to draw the free body diagram? How to build up equations?

  3. Example 1 Determine the reactions at point A and B • Isolate the free body & • use reactions to replace the connections. • Set up equations (resolve, sum) A

  4. Example 2 • Draw Free Body Diagram • (access: # unknow=# equation) Answer: Ay=183N Ex=0, Ey=417N, ME=-500N.m

  5. Example 3 The wall crane supports a load of 3.5KN. Determine the horizontal and vertical components of the reaction at pins A and D. Also, what is the force in the cable at the winch W? The jib ABC has a weight of 500N and member BD has a weight of 200N. Each member is uniform and has a center of gravity at its center. C E Answer: pulley E: T=1.75KN Member ABC :Ay=35KN Ax=9.966KN Member DB : Dx=9.116KN Dy=9.216KN 3.5KN

  6. Extra question If A and D are not in the same vertical line, how can we solve this problem?

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