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A glue-laminated timber beam is reinforced by carbon fiber reinforced plastic (CFRP) material bonded to its bottom surface. The cross section of the composite beam is shown in figure below. The elastic modulus of the wood is E= 12 GPa and the elastic modulus of the CFRP is 112 GPa. The simply supported beam spans L = 7 m and carries a concentrated load P=3.3 kN at midspan, see figure below. L/2 If b₁ = 88 mm and b₂ = 42 mm determine: B S L/2 CFRP → b₂ 250 mm 3 mm

A glue-laminated timber beam is reinforced by carbon fiber reinforced plastic (CFRP) material bonded to its bottom surface. The cross section of the composite beam is shown in figure below. The elastic modulus of the wood is E= 12 GPa and the elastic modulus of the CFRP is 112 GPa. The simply supported beam spans L = 7 m and carries a concentrated load P=3.3 kN at midspan, see figure below. L/2 If b₁ = 88 mm and b₂ = 42 mm determine: B S L/2 CFRP → b₂ 250 mm 3 mm

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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b) centroid location of the transformed section in the vertical direction. Enter your answer in mm to 1 decimal place.

Hint: transform CFRP into an equivalent amount of wood. Calculate the position of the centroid relative to the bottom edge of the transformed section, i.e. centroid position is measured upward from bottom edge of section.

A glue-laminated timber beam is reinforced by carbon fiber reinforced plastic (CFRP) material bonded to its bottom surface. The cross section of the composite beam is shown in figure below. The elastic modulus of the wood is E= 12 GPa and the elastic modulus of the CFRP is 112 GPa. The simply supported beam spans L = 7 m and carries a concentrated load P=3.3 kN at midspan, see figure below. L/2 If b₁ = 88 mm and b₂ = 42 mm determine: B S L/2 CFRP → b₂ 250 mm 3 mm
Transcribed Image Text:A glue-laminated timber beam is reinforced by carbon fiber reinforced plastic (CFRP) material bonded to its bottom surface. The cross section of the composite beam is shown in figure below. The elastic modulus of the wood is E= 12 GPa and the elastic modulus of the CFRP is 112 GPa. The simply supported beam spans L = 7 m and carries a concentrated load P=3.3 kN at midspan, see figure below. L/2 If b₁ = 88 mm and b₂ = 42 mm determine: B S L/2 CFRP → b₂ 250 mm 3 mm
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