5003 Lectures - Faculty of Engineering and Applied Science

E5003 - Ship Structures I 69
© C.G. Daley
Topic 8: Beam Theory
Test Grillage at Memorial University
Introduction
In this Chapter we will
• Develop the elastic behavior of beams
• Show the relationship among load, shear, bending, slope and
deflection
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Coordinate System and Sign Convention
The standard coordinate system has the x axis
along the neural axis of the beam. The positive y
axis is pointed up. The sign convention for force
and moment vectors follows the right hand rule;
+ Forces and deflections follow the axes.
+ Moments and rotations follow the curl of the
fingers (on the right hand) when the thumb is
pointing along the axis.
Shear strain:
Bending moment: