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A cantilever beam is 7.3 m in length and is made up of Yakal 100 mm x 275 mm wooden section, with allowable stress based

A cantilever beam is 7.3 m in length and is made up of Yakal 100 mm x 275 mm wooden section, with allowable stress based on an 80% stress grade of 16.5 MPa in bending and tension parallel to the grain. The beam carries a concentrated load of 50 kN at the cantilever end besides its own weight. Weight of wood = 7.5 kN/m3. The beam carries an axial tensile load of 310 kN.

Bending and tension parallel to the grain = 24.5 MPa Modulus of Elasticity in Bending = 9780 MPa Compression parallel to the grain = 15.8 MPa 

Compute the following:

a) actual tensile stress if only tensile force is acting.

b) interaction value for both bending and tensile stress

c) ratio of the difference between its actual bending and tensile stress to the adjusted bending stress for slenderness

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Given data 50K N Beam size 275 25 mm 100x 275 mm2 l00mm Tengih of contilever beom 3D 3m Bending o... blur-text-image

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