The trapezoidal timber beam with circular hole in Figure below. The beam carries a triangular distributed load of 20 kN/m. b₁ Given L = 2.0 m, b₁ = 400 mm b2 = 200 mm, h = 600 mm, d = 150 mm 0.5 h

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Chapter2: Loads On Structures
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A
The trapezoidal timber beam with circular hole in Figure below.
The beam carries a triangular distributed load of 20 kN/m.
b₁
Given
L = 2.0 m, b₁ = 400 mm
b2 = 200 mm, h = 600 mm, d = 150 mm
W
B
1234
0.5 h
0.5 h
b₂
L
Figure 2: Trapezoidal Timber Beam with Circular Hole
Properties of Apitong:
Bending and tension parallel to grain, Fb = 16.5 MPa
Shear parallel to grain, fv = 1.75 MPa
Modulus of elasticity in bending, Ew = 7.31 GPa
Compute the following:
1. Moment of inertia with respect to the neutral axis.
Maximum flexural stress of the beam.
3. Maximum shearing stress of the beam.
4. Maximum deflection of the beam.
d
h
Transcribed Image Text:A The trapezoidal timber beam with circular hole in Figure below. The beam carries a triangular distributed load of 20 kN/m. b₁ Given L = 2.0 m, b₁ = 400 mm b2 = 200 mm, h = 600 mm, d = 150 mm W B 1234 0.5 h 0.5 h b₂ L Figure 2: Trapezoidal Timber Beam with Circular Hole Properties of Apitong: Bending and tension parallel to grain, Fb = 16.5 MPa Shear parallel to grain, fv = 1.75 MPa Modulus of elasticity in bending, Ew = 7.31 GPa Compute the following: 1. Moment of inertia with respect to the neutral axis. Maximum flexural stress of the beam. 3. Maximum shearing stress of the beam. 4. Maximum deflection of the beam. d h
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