A timber beam AB of span 5 m, width 100 mm and height 200 mm is to support three concentrated loads shown in the figure. The selected grade of timber has following material allowables ; τall=1 MPa and σall=10
Calculate the maximum shear and normal stresses for the selected timber
beam for the given loading conditions.
Step 1 : Write down input parameters (including material properties) which are
defined in the sample example.
Step 2 : Visit "Simply Supported Beam Deflection Calculation Example" page to
see calculation example for shear
force and bending moments. Calculate shear
forces and bending moments by using Simply Supported Beam Stress and Deflection Calculator as explained in the example.
Maximum shear forces and bending moments through the timber beam have been summarized below.
Step 3 : Visit "Rectangular Beam Design For Strength" page to calculate maximum shear
and normal stresses.
See the sample calculation below for the first point given in the Step 2.
Step 4 : Results for stress calculations are summarized in the following table.
According to results, the design is not
safe for the given parameters and conditions. Maximum normal stress (13.323 MPa) is larger than allowable value (10 MPa) given in the problem.
A larger size timber beam shall be selected for a safe design.
The problem is fully solved with calculators and examples which are summarized as