Today: Internal effects in beams continued - deformation signs Book ...
Transcript of Today: Internal effects in beams continued - deformation signs Book ...
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Today:
Internal effects in beams continued
- deformation signs
Book: hand outs
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A D
B
S
Determine the shear force and
moment diagram of this structure.
Note that S is a hinge.
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A D
B
S
- +
-
+ 2
2
qL
- +
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Three ways to derive the normal, shear and bending diagrams
• Method of slices
• Differential equations
• Estimation method
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-
+
+
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Three ways to derive the normal, shear and bending diagrams
• Method of slices
• Differential equations
• Estimation method
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-
+
+
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-
+
+
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Three ways to derive the normal, shear and bending diagrams
• Method of slices
• Differential equations
• Estimation method
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-
+
+
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Deformation signs
Deformation:
Normal force diagram: +
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Deformation signs
Deformation:
Normal force diagram: -
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Deformation signs
Deformation:
Shear diagram:
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Deformation signs
Deformation:
Shear diagram:
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Deformation signs
Deformation:
Moment diagram:
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Deformation signs
Deformation:
Moment diagram:
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Drawing conventions
• Positive normal- and shear-force diagrams may be drawn on either side
of the beam.
• Moment diagram is drawn on the side of the beam where the bending
moment gives rise to a tensile stress.
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Derive the shear force and
bending moment diagrams
for this beam. Use the
deformation signs.
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Sign conventions
• Moment diagram is drawn on the side of the beam where the bending
moment gives rise to a tensile stress.
• Direction of the moment line follows deformation sign of shear force line
(staircase).
• Both ends of the bending deformation sign
point towards the beam (Smiley).
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Derive the shear force and
bending moment diagrams
for this beam. Use the
deformation signs.
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Derive the shear force and
bending moment diagrams
for this beam. Use the
deformation signs.
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Derive the shear force and
bending moment diagrams
for this beam. Determine
the maximum bending
moment.
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Derive the shear force and
bending moment diagrams
for this beam. Determine
the maximum bending
moment.