Figure 2 (a) shows a 6 m long cantilever concrete beam with a uniformly distributed load of w= 25 kN/m. The beam has a T-section and is bolted to a steel plate (200 x 10 mm) to form a composite section as shown in Figure 2 (b). The modulus of elasticity is 25 GPa for the concrete beam and 200 GPa for the steel plate. The dimensions of the concrete sections are: a= 600, b= 40 and c-700 mm. 200 mm Steel plate (200x10 mm) 10 mm W kN/m concrete Lm (a) Simply supported T-Beam amm (b) Cross-section bmm

Structural Analysis
6th Edition
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Chapter2: Loads On Structures
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Figure 2(a) shows a 6 m long cantilever concrete beam with a uniformly distributed load of w= 25 kN/m. The beam has a T-section and is bolted to a steel
plate (200 x 10 mm) to form a composite section as shown in Figure 2 (b). The modulus of elasticity is 25 GPa for the concrete beam and 200 GPa for the
steel plate. The dimensions of the concrete sections are: a=600, b= 40 and c-700 mm.
Steel plate * 200 mm
(200x10 mm)
10 mm
W kN/m
B
concrete
Lm
(a) Simply supported T-Beam
amm
(b) Cross-section
Figure 2
bmm
k
Transcribed Image Text:Figure 2(a) shows a 6 m long cantilever concrete beam with a uniformly distributed load of w= 25 kN/m. The beam has a T-section and is bolted to a steel plate (200 x 10 mm) to form a composite section as shown in Figure 2 (b). The modulus of elasticity is 25 GPa for the concrete beam and 200 GPa for the steel plate. The dimensions of the concrete sections are: a=600, b= 40 and c-700 mm. Steel plate * 200 mm (200x10 mm) 10 mm W kN/m B concrete Lm (a) Simply supported T-Beam amm (b) Cross-section Figure 2 bmm k
a)
Compute the moments of inertia with respect to the centroidal axis of the composite section.
x105 mm¹
b)
Calculate the maximum stresses in concrete due to the loading.
concrete
MPa
Please insert - sign if it indicates the compressive stress.
c)
Calculate the maximum stresses in steel due to the loading.
steel-
MPa
Please insert - sign if it indicates the compressive stress.
Transcribed Image Text:a) Compute the moments of inertia with respect to the centroidal axis of the composite section. x105 mm¹ b) Calculate the maximum stresses in concrete due to the loading. concrete MPa Please insert - sign if it indicates the compressive stress. c) Calculate the maximum stresses in steel due to the loading. steel- MPa Please insert - sign if it indicates the compressive stress.
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