A glue-laminated timber beam is reinforced by carbon fiber reinforced plastic (CFRP) material bonded to its bottom surface. The crosssection of the composite beam is shown in figure below. The elastic modulus of the wood is E= 12 GPa and the elastic modulus of theCFRP is 112 GPa. The simply supported beam spans L = 6 m and carries a concentrated load P= 3.8 kN at midspan, see figure below.b₁If b₁L/2= 88 mm and b₂ = 41 mm determine:BL/2CFRPyb₂250 mm3 mmc) moment of inertia about the horizontal centroidal axis for timber. Enter youranswer in mm² to 1 decimal place.d) moment of inertia about the horizontal centroidal axis for transformed CFRP.Enter your answer in mm² to 2 decimal places.e) moment of inertia about the horizontal centroidal axis for the whole section.Enter your answer in mm² to 2 decimal places.

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 = 6 m and carries a concentrated load P= 3.8 kN at midspan, see figure below. b₁ A L/2 If b₁ = 88 mm and b₂ = 41 mm determine: P B L/2 CFRP b₂ 250 mm 3 mm c) moment of inertia about the horizontal centroidal axis for timber. Enter your answer in mm² to 1 decimal place. d) moment of inertia about the horizontal centroidal axis for transformed CFRP. Enter your answer in mm² to 2 decimal places. e) moment of inertia about the horizontal centroidal axis for the whole section. Enter your answer in mm² to 2 decimal places.

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 = 6 m and carries a concentrated load P= 3.8 kN at midspan, see figure below. b₁ A L/2 If b₁ = 88 mm and b₂ = 41 mm determine: P B L/2 CFRP b₂ 250 mm 3 mm c) moment of inertia about the horizontal centroidal axis for timber. Enter your answer in mm² to 1 decimal place. d) moment of inertia about the horizontal centroidal axis for transformed CFRP. Enter your answer in mm² to 2 decimal places. e) moment of inertia about the horizontal centroidal axis for the whole section. Enter your answer in mm² to 2 decimal places.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.2.4P: A wood beam with cross-sectional dimensions 200 mm x 300 mm is reinforced on its sides by steel...

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