A triangular cross section beam of 6m length is fixed at its two sides A and B. From support A to the centre of the beam the triangular cross section has equal sides of 100mm and from the centre to B the triangular cross section has equal sides of 300mm. Fixed support Ballows a rotation of 0.02 radians in any direction. Determine the reactions at A and B if there is torsion moment load of 4kN.m working in the centre of the first half of the beam. _Given that the polar moment of inertia for any shape is given by the equation J = la+ ly, where I is the moment of inertia of the section. The base of the triangle is always horizontal for the cross sections. The length of the beam is 4m and G = 80GP.. Hence determine the maximum shear stress in the beam. bh A bh h/3 36 Ph 36
A triangular cross section beam of 6m length is fixed at its two sides A and B. From support A to the centre of the beam the triangular cross section has equal sides of 100mm and from the centre to B the triangular cross section has equal sides of 300mm. Fixed support Ballows a rotation of 0.02 radians in any direction. Determine the reactions at A and B if there is torsion moment load of 4kN.m working in the centre of the first half of the beam. _Given that the polar moment of inertia for any shape is given by the equation J = la+ ly, where I is the moment of inertia of the section. The base of the triangle is always horizontal for the cross sections. The length of the beam is 4m and G = 80GP.. Hence determine the maximum shear stress in the beam. bh A bh h/3 36 Ph 36
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A triangular cross section beam of 6m length is fixed at its two sides A and B. From support
A to the centre of the beam the triangular cross section has equal sides of 100mm and from
the centre to B the triangular cross section has equal sides of 300mm. Fixed support B allows
a rotation of 0.02 radians in any direction. Determine the reactions at A and B if there is
torsion moment load of 4kN.m working in the centre of the first half of the beam. _Given
that the polar moment of inertia for any shape is given by the equation J = lx + ly, where I
is the moment of inertia of the section. The base of the triangle is always horizontal for the
cross sections. The length of the beam is 4m and G = 80GPA. Hence determine the maximum
shear stress in the beam.
bh
bh
36
h/3
36
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