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INTRODUCTION
Modular ratio, as the name suggests is the ratio of the modulus of two materials for e.g., Es / Et where Es is the modulus of steel and Et is the modulus of timber. To understand modular ratio better let us first start by taking two members. The one on the top is made of timber while the other is made of steel.
Figure 1 (a) Modular Ratio equation (b) Timber and Steel member
When both of them are subjected to an identical load the bending moment produced due to this load looks like Figure 3. Taking a section AA at the centre where we will have max BM. Let the BM for timber be Mt while that for steel be Ms. The safety of these beams under the subjected loading can be found very easily using the Bending Moment equation:
Figure 2 Bending Moment Equation
Figure 3 BMD when Timber and Steel member is subjected to loading
Where,
= stress
y = distance from NA
M = max bending moment
I = moment of inertia
E= Young's modulus and
R = Radius of curvature
Where,
= stress
y = distance from NA
M = max bending moment
I = moment of inertia
E= Young's modulus and
R = Radius of curvature
COMPOSITE MEMBERS
Timber and steel
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