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Module 1 : Shear and Moment Diagrams for a
FrameDr Yan ZhugeDr Yan Zhuge
CIVCIVE3011E3011 Structural Structural AnalysisAnalysis
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Introduction - Frames
• Frames are often used in buildings and are composed of beams and columns that are either pin or fixed connected.
• Frame members are subjected to axial, shear and moment loadings.
• The strength of rigid joint connection frame is derived from the moment interactions between the beams and the columns at the joints.
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Simple Frames
pitched flat
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Procedure for analysis
• Determine the reactions at the frame supports.
• Find the axial force, shear force and moment acting at the ends of each member.
• Draw shear force and moment diagrams for each member.
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Example 2 - FrameDraw the shear and moment diagrams for the frame. Assume A is a pin, and C is a roller.
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Example 3 – FrameDraw the shear and moment diagrams for the frame. Assume A is a pin, C is a roller and B is a fixed joint.
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Example 3 - Frame
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Example 4 – Three pin Frames6m 3m 3m
12kN4kN/m
8m
A
BC D
E
F 10.25kN
19.667kN7.667kN
21.75kN
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Example 4 – Three pin Frames12kN
A
BC
DE
F
10.25kN
19.667kN7.667kN
21.75kN 10.25kN
A
46kNm
59.16kNm
82kNm
23kNm
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