A timber beam AB of span 3 m, width 200 mm and height 100 mm is to support three concentrated loads shown in the figure. Modulus of elasticity of selected class of timber is 8 GPa and the density of the timber is 600 kg/m^{3}
Calculate the max. deflection, max. shear force, max. bending moment, mid-span deflection/slope and end reaction forces of the timber rectangular beam for the following loading conditions.
Step 1 : Write down input parameters (including material properties) which are defined in the sample example.
Step 2 : Go to " Sectional Properties Calculator of Solid Rectangular Bar" page to calculate second moment of area around x axis(I_{xx})
Step 3 : Go to "Simply Supported Beam Stress and Deflection Calculator" page to calculate maximum shear force, bending moment and deflections on the timber. Enter three point loads given in the figure and one distributed load (due to the timber beam's own weight). Distributed load is equal to (M*g)/L = 36 * 9.81 / 3 = 117.7 N/m .
There is no moment acting on the timber beam so set moment values to 0.
Step 4 : Calculation results of step 3 are as follows.
Max. deflection, max. shear force, max. bending moment, mid-span deflection/slope and end reaction forces of the timber rectangular beam have been calculated with the usage of the following calculators.