# M5 - CIV100 Mechanics Module 5 Internal Forces and Design...

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1 CIV100 – Mechanics Module 5: Internal Forces and Design by: Jinyue Zhang 2010/10/26 1 Module Objective By the end of this Module you should be able to: Find internal forces of any structural members Understand how Shear Force Diagrams (SFD) and Bending Moment Diagrams (BMD) relate to the internal forces in structures Know how to draw SFD for beams Know how to draw BMD for beams Understand how different load types (concentrated load, distributed load, couple) affect the shape of SFD and BMD Understand the design of structural members in tension Understand the design of structural members in bending

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2 2010/10/26 2 Today’s Objective Understand the concept of internal forces How to find internal forces of a structural member Understand the concept of SFD and BFD – How to draw SFD and BFD of a beam with simple loading 2010/10/26 3 Internal Forces We have learnt this concept!
3 2010/10/26 4 Internal Forces Now let s look at multi-force member! 0 0 0 = = = Mo Fy Fx 2010/10/26 5 Internal Forces Naming those internal forces

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4 2010/10/26 6 Finding Internal Forces – Procedure for Analysis Solve the whole structure first, find all reaction forces if necessary. For frames and machines or their combinations, dismember the structure and obtain the reactions at each connection . Keep all distributed loadings, moments, and forces acting on the member in their exact location , then cut the member to analysis by an imaginary section at the point where the internal loading is to be determined. Draw FBD of the segment that has the least number of loads and apply EoE to find internal forces: Make assumption on unknown forces about their sense, if the EoE yields a negative scalar, your assumption was wrong. Moment should be summed at the cutting section where we eliminate the unknown normal and share forces. 2010/10/26 7 Example 1 The bar is fixed at its end and is loaded as shown. Determine the internal normal force at points B and C.
5 2010/10/26 8 Example 1 The bar is fixed at its end and is loaded as shown. Determine the internal normal force at points B and C. 2010/10/26 9 Example 2 Determine the internal normal force, shear force, and bending moment at point B.

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6 2010/10/26 10 Example 2 Determine the internal normal force, shear force, and bending moment at point B. 2010/10/26 11 Today’s Objective What is Bending Moment Diagram (BMD) What is Shear Force Diagram (SFD) Understand the sign convention of BM and SF 2 examples of plotting SFD and BMD
7 2010/10/26 12 SFD and BMD An Interesting Applet! 2010/10/26 13 Sign Convention for Bending Moments In North America, if the moment tends to cause the beam to curve upward it is positive ; if the moment tends to cause it to curve downward it is negative .

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M5 - CIV100 Mechanics Module 5 Internal Forces and Design...

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