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Summary study book Revise for Mechanics 2 of John Hebborn, Jean Littlewood (2 and 3) - ISBN: 9780435511142 (chapter 2)
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Slope and Deflection of Beamsθ
θ =
, Hence, the moment curvature equation:
Where M = Mx or M(x), bending moment expressed as a function of position, x, along the
length of a loaded beam.
Incorporating relations between shear force Q, bending moment M, and load distribution w done in earlier
modules:
Consider an elemental portion EFGH of length dx of a beam loaded as shown in Figure below.
Apply the conditions for static equilibrium of the portion EFGH:
For the vertical force equilibrium of EFGH,
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