同济大学：《钢和混凝土组合结构设计原理与应用》课程教学资源（试卷习题）DESIGN OF COMPOSITE BEAMS FOR DIFFERENT DEGREE OF SHEAR CONNECTION

DESIGN OF COMPOSITE BEAMS FOR DIFFERENT DEGREE OF SHEAR CONNECTION Salomoni Alice 1593072 Prof.Shiming Chen

DESIGN OF COMPOSITE BEAMS FOR DIFFERENT DEGREE OF SHEAR CONNECTION Salomoni Alice 1593072 Prof. Shiming Chen

Description of Structural Components Composite Flexural member Beam made of two or more longitudinal members which Steel Concrete Interface are constrained in Beam Slab their relative Iongitudin al displacements at the interface by means of a shear connection Shear Connection Steel Deck

Description of Structural Components Composite Beam Steel Beam Concrete Slab Interface Flexural member made of two or more longitudinal members which are constrained in t h e i r r e l a t i v e l o n g i t u d i n a l displacements at the interface by means of a shear connection Shear Connection Steel Deck

Description of Structural Components Type of Shear Connector Rigid Type→ Full interaction Flexible Type.→ Partial interaction ECTON SECTON SCTON PLAN PLAN PIAN M.S.bars threaded through holes in the shear connectors ELEVATION SECTION A- M.S BAR EE型ATION L型TION ELEVATION B SECTION B- No Shear Connection No Interaction

Type of Shear Connector Rigid Type Full interaction Flexible Type Partial interaction No Shear Connection Description of Structural Components No Interaction

Design Principle and Calculation Method be Eurocode 4 As Design Load per Number and Spacing of Resistance of Shear Stud Shear Connector Connector Qa 0,8Qu N= Qa=kAaE.fE≤0,7Aafa 1,1 Qa

Design Principle and Calculation Method Eurocode 4

Design Principle and Calculation Method Degree of shear connection =n Eurocode 4 The resistance moment of the critical cross- section of the beam is calculated by means of rigid plastic,except that a reduced value of the compressive force in the concrete flange Nc Rigid Plastic should be used in place of the force Ncf. Theory full interaction due to 7=1,0 rigid shear connection The degree of partial interaction partial interaction characterizes the stiffness of 0,0<1<1,0 due to flexible the shear connection and the shear connection axial stiffness of the chords compared to the sum of the bending stiffness's of the single n=0,0 no interaction chords

Design Principle and Calculation Method Eurocode 4 Rigid Plastic Theory The degree of partial interaction characterizes the stiffness of the shear connection and the axial stiffness of the chords compared to the sum of the bending stiffness’s of the single chords. !"#$"" !" !ℎ!"# !"##$!%&"# = ! = !! !!" ! = 1,0 ! = 0,0 full interaction due to rigid shear connection no interaction partial interaction due to flexible shear connection 0,0 < ! < 1,0 The resistance moment of the critical cross￾section of the beam is calculated by means of rigid plastic, except that a reduced value of the compressive force in the concrete flange Nc should be used in place of the force Ncf

Design Principle and Calculation Method Plastic stress distributions under Plastic stress distribution under sagging and hogging bending full sagging bending for partial shear shear connection connection 0.85-fcd 回 。—=开N

Plastic stress distributions under sagging and hogging bending full shear connection Plastic stress distribution under sagging bending for partial shear connection Design Principle and Calculation Method

Comparison of Composite Structure with other Structural Formation and Discussion Composite beams can be modelled as a pair of beams. rlgld shear connectlon flexlble shear connectlon no shear connectlon Slip in the Interface Different Neutral Axis

Comparison of Composite Structure with other Structural Formation and Discussion Composite beams can be modelled as a pair of beams. Slip in the Interface Different Neutral Axis

Comparison of Composite Structure with other Structural Formation and Discussion Relation between MRdMp/,Rd with degree of shear connection n N吧 'pl Ra 1.0 A MplaRd N M. MpLRd 1.0 NoL.a

Comparison of Composite Structure with other Structural Formation and Discussion Relation between MRd/Mpl,Rd with degree of shear connection η

Comparison of Composite Structure with other Structural Formation and Discussion Push-out Test To obtain the load-slip curve 80 18d brittle connectors 8 Pe PA 品 Shear lood 441222214244444425744244 150260 150 plastic plateau bedded in motor or gypaum b. ar 10mm 84的好8 ductile connectors

Comparison of Composite Structure with other Structural Formation and Discussion Push-out Test To obtain the load-slip curve