Composite Structures - Assignment No. 3
2
Technical University „Gheorghe Asachi”, Iasi Student: Lazăr Gheorghe Facutly of Civil Engineering and Building Services M.Sc. Structural Engineering Assignment No. 3 INTERNAL REINFORCEMENT Personal Number: No.S=17 Calculat e t he resist ing mo ment of a concret e beam sect i on wi t h t he dimensi ons b=250mm+5N and h=500mm reinforced with 3* ϕ16mm glass fibre bars placed at the bottom side. The concret e cl ass i s C25/30 and t he concret e cover c nom =20mm. SOLUTI ON Beam cross sect i on : b w = 335 mm, h=500 mm Bottom reinforcement: 3ϕ16→A s1 =6.16 cm c nom =20mm Strengt h charact er i st i cs of the gl ass fi bres: F FRPU =1350 N/ mm 2 - the t ensile strengt h E FRP =60000 N/ mm - the el ast i ci ty modul us of the fibres Afrp=602.88 mm - the area of the gl ass bars ε FRPu = F FRPU / E FRP =0.0225-t he ul t imat e strain of the gl ass fibr es f cd =16.67 N/ mm 2 - the desi gn strength of t he concrete Effect ive depth of the cross-sect i on: d=h- c nom -0.5*ϕ==500-20-0.5*16=479.2mm c b =231,86 mm ε cu =0.0211 2 2 2
-
Upload
george-lazar -
Category
Documents
-
view
4 -
download
1
description
GLA_Assignment
Transcript of Composite Structures - Assignment No. 3
Technical University „Gheorghe Asachi”, Iasi Student: Lazăr Gheorghe
Facutly of Civil Engineering and Building Services M.Sc. Structural Engineering
Assignment No. 3 INTERNAL REINFORCEMENT
Personal Number: No.S=17
Calculate the resisting moment of a concrete beam section with the dimensions b=250mm+5N and h=500mm reinforced with 3* ϕ16mm glass fibre bars placed at the bottom side. The concrete class is C25/30 and the concrete cover cnom=20mm.
SOLUTION
Beam cross section : bw = 335 mm, h=500 mm Bottom reinforcement: 3ϕ16→As1=6.16 cm cnom=20mm
Strength characteristics of the glass fibres:
FFRPU=1350 N/mm2 -the tensile strength EFRP=60000 N/mm - the elasticity modulus of the fibres
Afrp=602.88 mm - the area of the glass bars εFRPu= FFRPU/ EFRP=0.0225-the ultimate strain of the glass fibres
fcd=16.67 N/mm2- the design strength of the concrete
Effective depth of the cross-section:
d=h- cnom-0.5*ϕ==500-20-0.5*16=479.2mm
cb=231,86 mm εcu=0.0211
2
2
2
Technical University „Gheorghe Asachi”, Iasi Student: Lazăr Gheorghe
Facutly of Civil Engineering and Building Services M.Sc. Structural Engineering
=0.825>0.67
=0.92833>0.67
=0.0225*60000*602.88= 813888 N=813.9 kN
=0.825*16.667*0.928*231,86*335=991463.9 N=991.5 kN
=214,8313 kN*m
