376x

2024-02-28

VE 1024 | Shear at the Interface Between Concrete Cast According to DIN EN 1992-1-1

Description

In this example, the shear at the interface between concrete cast at different times and the corresponding reinforcement are determined according to DIN EN 1992-1-1. The obtained results with RFEM 6 will be compared to the hand calculation below.

The Model consists of 2.812 m T-beam, fixed in one end. The shear section is shown in the figure below.

Verification Example 1024 | Shear at the Interface Between Concrete Cast

Material	Concrete C25/30	Modulus of Elasticity	E	31000	N/mm²
	Concrete C25/30	Design value of concrete compressive strength	f_cd	14.167	N/mm²
	Reinforcing steel B500S(A)	Characteristic yield strength	f_yk	500.000	N/mm²
	Reinforcing steel B500S(A)	Design yield strength	f_yd	434.783	N/mm²
Geometry	T-beam	Height	h	1350	mm
		Effective depth	d	1280	mm
		Flange height	h_f	290	mm
		Flange width	b_eff	2500	mm
		Web width	b_w	400	mm
Load	Permanant loads	Nodal load		800.0	kN

The T-beam is modelled in RFEM 6 using the member type Rib.

Analytical Solution

The inner forces at the end of the cantilever are summarized in the following table:

Inner Forces
Type	Symbole	Unit	Result
Design shear force	V_Ed	[kN]	800
Design bending moment	M_Ed	[kNm]	2250

The area of tensile reinforcement is calculated using dimension tables:

µ_{Eds} = \frac{M_{Eds}}{b_{eff} \cdot d^{2} \cdot f_{cd}} = \frac{2250 \cdot 10^{- 3}}{2.5 \cdot 1 . 28^{2} \cdot 14.17} = 0.03876

where

ω = 0.03971

ξ = 0.9766

Related Moment µ

A_{s 1} = \frac{1}{σ_{sd}} \cdot (ω \cdot b \cdot d \cdot f_{cd} + N_{Ed}) = \frac{1}{456.52} \cdot (0.03971 \cdot 2.5 \cdot 1.28 \cdot 14.17) = 39.44 {cm}^{2}

Tensile Reinforcement

Next, the design shear stress v_Edi and the design shear resistance v_Rd,c are determined:

v_{Edi} = β \cdot \frac{V_{Ed}}{z \cdot b_{i}} = 1.0 \cdot \frac{800 \cdot 10^{3}}{1152 \cdot 400} = 1.736 N / {mm}^{2}

where

β = 1.0

z = 0.9 \cdot d = 0.9 \cdot 1280 = 1152 mm

Design Value of Shear Stress acc. to DIN EN 1992-1-1, 6.2.5 (1)

v_{Rd, c} = C_{Rd, c} \cdot k \cdot {(100 \cdot ρ_{l} \cdot f_{ck})}^{1 / 3} + k \cdot σ_{cp} = 0.10 \cdot 1.3953 \cdot {(100 \cdot 0.00703 \cdot 25)}^{1 / 3} + 0.10 \cdot 0 = 0.37323 N / {mm}^{2}

where

C_{Rd, c} = 0.15 / γ_{c} = 0.15 / 1.5 = 0.10

k = 1 + \sqrt{\frac{200}{1280}} = 1.3953 \leq 2.0

ρ_{1} = \frac{A_{sl}}{40 \cdot 128} = 0.007703 \leq 0.02

Design Value of Shear Resistance According to DIN EN 1992-1-1, 6.2.2 (1)

v_Edi is superior to v_Rd,c. Therefore, shear reinforcement is required:

v_{Rdi} = c \cdot f_{ctd} \cdot μ \cdot σ_{n} + ρ \cdot f_{yd} \cdot (1.2 \cdot μ \cdot \sin (α) + \cos (α)) = 0.5 \cdot 1.02 + 0.9 \cdot 0 + \frac{0}{0.4} \cdot 435 \cdot (1.2 \cdot 0.9 \cdot 1 + 0) = 0.510 N / {mm}^{2}

Design Shear Resistance at Interface Without Shear Reinforcement acc. to DIN EN 1992-1-1, (NDP) 6.2.5 (1)

v_{Rd, \max} = 0.5 \cdot ν \cdot f_{cd} = 0.5 \cdot 0.70 \cdot 14.167 = 4.958 N / {mm}^{2}

where

ν = 0.70 for the indented interface

Mximum Value of Design Shear Resistance at Interface acc. to DIN EN 1992-1-1, 6.2.5 (1)

v_{Rdi} = c \cdot f_{ctd} \cdot μ \cdot σ_{n} + ρ \cdot f_{yd} \cdot (1.2 \cdot μ \cdot \sin (α) + \cos (α)) = 0.5 \cdot 1.02 + 0.9 \cdot 0 + \frac{a_{s}}{0.4} \cdot 435 \cdot (1.2 \cdot 0.9 \cdot 1 + 0)

\to 0.51 + \frac{a_{s}}{0.4} \cdot 469.56 = 1.736 N / {mm}^{2}

\to a_{s} = 10.44 {cm}^{2} / m

Design Shear Resistance at Interface acc. to DIN EN 1992-1-1, (NDP) 6.2.5 (1)

RFEM Settings

In the Rib setting, shear joint between flange and web is activated.
The roughness classification is set to Indented

Results

Designation	Variable	Unit	RFEM result	Analytical solution	Ratio
Roughness factor c	c	[-]	0.5	0.5	1.0
Roughness factor	μ	[-]	0.9	0.9	1.0
Strength reduction factor for concrete cracked in shear for joints	ν	[-]	0.7	0.7	1.0
Inner lever arm	z	[m]	1.179	1.152	1.02
Ratio of longitudinal force in new concrete area and total longitudinal force	β	[-]	1.0	1.0	1.0
Angle	α	[°]	90	90	1.0
Design value of shear stress in interface	v_Ed,i	[N/mm²]	1.695	1.736	0.98
Maximum design shear resistance at the interface	v_Rd,i,max	[N/mm²]	4.958	4.958	1.0
Design shear resistance at the interface without shear reinforcement	v_Rd,i	[N/mm²]	0.510	0.510	1.0
Required shear reinforcement at the interface	a_sw,i,req	[cm²/m]	10.10	10.44	0.97

Results

The RFEM 6 results obtained are highly accurate. The observed slight deviations primarily stem from the calculation of the inner lever arm, z. In the analytical solution, z is simply considered as 90% of the effective depth, whereas RFEM calculates it precisely.

T-Beam - Shear at Interface Between Concrete Cast

400x

10x

Verification Example 1024 | Shear at Interface Between Concrete Cast of T-Beam

Do you have any questions?

Events

2024-04-30

Online Training

RFEM 6 | Students | Introduction to Timber Design

2024-05-08

Online Training

RFEM 6 | Students | Introduction to Reinforced Concrete Design

2024-05-15

Online Training

RFEM 6 | Students | Introduction to Steel Design

2024-05-23

Most Frequently Asked Questions Answered by Dlubal Support Team

Webinar

Most Frequently Asked Questions Answered by Dlubal Support Team | May 2024

2024-06-20

Webinar

Most Frequently Asked Questions Answered by Dlubal Support Team | June 2024

2024-10-16

Online Training

RFEM 6 | Students | Introduction to Member Design

2024-10-23

Online Training

RSECTION 1 | Students | Introduction to Strength of Materials

2024-10-30

Online Training

RFEM 6 | Students | Introduction to FEM

2024-11-06

Online Training

RFEM 6 | Students | Introduction to Steel Design

2024-11-13

Online Training

RFEM 6 | Students | Introduction to Reinforced Concrete Design

2024-11-20

Online Training

RFEM 6 | Students | Introduction to Timber Design

2024-11-26 - 2024-11-27

Conference

BIM World MUNICH 2024

Videos

Knowledge Base

KB 001838 | Design of Ribs, Folded Plate Structures, and Surfaces Using Result Members in RFEM 6

Length: 00:00:47 min

Knowledge Base

KB 001838 | Design of Ribs, Folded Plate Structures, and Surfaces Using Result Members in RFEM 6

Length: 00:00:00 min

Knowledge Base

KB 001838 | Design of Ribs, Folded Plate Structures, and Surfaces Using Result Members in RFEM 6

Length: 00:00:00 min

Knowledge Base

KB 001838 | Design of Ribs, Folded Plate Structures, and Surfaces Using Result Members in RFEM 6

Length: 00:00:00 min

Knowledge Base

KB 001838 | Design of Ribs, Folded Plate Structures, and Surfaces Using Result Members in RFEM 6

Length: 00:00:00 min

Knowledge Base

KB 001838 | Design of Ribs, Folded Plate Structures, and Surfaces Using Result Members in RFEM 6

Length: 00:00:00 min

General

Structural Analysis and Design Software for Concrete Structures | RFEM 6 & RSTAB 9 by Dlubal Software

Length: 00:03:40 min

Product Feature

Punching Shear Design for All Section Shapes

Length: 00:00:45 min

FAQ

FAQ 005472 | In the table of the objects to be designed in the Concrete Design add-on, punching nodes are...

Length: 00:00:00 min

Playlist

Models to Download

400x

10x

Verification Example 1024 | Shear at Interface Between Concrete Cast of T-Beam

Model 004505 | Building with Inclined Reinforced Concrete Columns

486x

25x

Building with Inclined Reinforced Concrete Columns

572x

Folded Plate Structures and Surfaces

598x

14x

Verification Example 1000 | Concrete Column with Nominal Curvature Method

557x

17x

Reinforcement Description

KB 001842 | Slab with Automatic Surface Reinforcement as Supplement

207x

KB 001842 | Automatic Design Process of Provided Surface Reinforcement

267x

Pedestrian and Cyclist Bridge in Eichstätt, Germany

233x

24x

Concrete Bridge

269x

25x

Concrete Building

Knowledge Base Articles

KB 001838 | Design of Ribs, Folded Plate Structures, and Surfaces Using Result Members

If you want to use a pure surface model, for example, when determining the internal forces and moments, but the structural component is still designed on the member model, you can take advantage of a result beam.

According to EN 1992-1-1 [1], a beam is a member of which the span is no less than 3 times the overall section depth. Otherwise, the structural element should be considered as a deep beam. The behavior of deep beams (that is, beams with a span less than 3 times the section depth) is different from the behavior of normal beams (that is, beams with a span that is 3 times greater than the section depth). However, designing deep beams is often necessary when analyzing the structural components of reinforced concrete structures, since they are used for window and door lintels, upstand and downstand beams, the connection between split-level slabs, and frame systems.

Critical Perimeter Around Column Considering One Opening

The punching shear design, in line with EN 1992-1-1, should be performed for slabs with a concentrated load or reaction. The node where the design of punching shear resistance is performed (that is, where there is a punching problem) is called a node of punching shear. The concentrated load at these nodes can be introduced by columns, concentrated force, or nodal supports. The end of the linear load introduction on slabs is also regarded as a concentrated load and therefore, the shear resistance at wall ends, wall corners, and ends or corners of line loads and line supports should be controlled as well.

This article describes how a flat slab of a residential building is modeled in RFEM 6 and designed according to Eurocode 2. The plate is 24 cm thick and is supported by 45/45/300 cm columns at distances of 6.75 m in both the X and Y directions (Image 1). The columns are modeled as elastic nodal supports by determining the spring stiffness based on the boundary conditions (Image 2). C35/45 concrete and B 500 S (A) reinforcing steel are selected as the materials for the design.

Screenshots

Verification Example 1024 | Shear at the Interface Between Concrete Cast

Distribution of Top Reinforcement in Walls and Slabs in LLC

KB 001838 | Design of Ribs, Folded Plate Structures, and Surfaces Using Result Members in RFEM 6

Reinforcement Description

Deformations of Production Unit Structure | © GH HERVOUET

Model of Pastry Production and Storage Unit | © GH HERVOUET

View of Internal Steel Structure of Pastry Production and Storage Unit | © GH HERVOUET

Exterior View of Pastry Production and Storage Unit | © GH HERVOUET

Product Features

Feature 002801 | Punching Shear Design for All Section Shapes

Do you have individual column sections and angled wall geometries, and need punching shear design for them?

No problem. In RFEM 6, you can perform punching shear design not only for rectangular and circular sections, but for any cross-section shape.

Feature 002691 | Simplified Fire Resistance Design for Columns and Beams According to EN 1992-1-2, Sections 5.3.2 and 5.6

The Concrete Design add-on provides you with the option to perform the simplified fire resistance design according to EN 1992‑1‑2 for columns (Section 5.3.2) and beams (Section 5.6).

The following design checks are available for the simplified fire resistance design:

Columns: Minimum cross-sectional dimensions for rectangular and circular sections according to Table 5.2a as well as Equation 5.7 for calculating time of fire exposure
Beams: Minimum dimensions and center distances according to Table 5.5 and Table 5.6

You can determine the internal forces for the fire resistance design according to two methods.

1 Here, the internal forces of the accidental design situation are included directly into the design.
2 The internal forces of the design at normal temperature are reduced by the factor Eta,fi (ηfi), then used in the fire resistance design.

Furthermore, it is possible to modify the axis distance according to Eq. 5.5.

Feature 002670 | Fatigue Design According to EN 1992-1-1, Chapter 6.8

With the Concrete Design add-on, you can perform the fatigue design of members and surfaces according to EN 1992‑1‑1, Chapter 6.8.

For the fatigue design, you can optionally select two methods or design levels in the design configurations:

Design Level 1: Simplified design according to 6.8.6 and 6.8.7(2): The simplified design is performed for frequent action combinations according to EN 1992‑1‑1, Chapter 6.8.6 (2), and EN 1990, Eq. (6.15b) with the traffic loads relevant in the serviceability state. A maximum stress range according to 6.8.6 is designed for the reinforcing steel. The concrete compressive stress is determined by means of the upper and lower allowable stress according to 6.8.7(2).
Design Level 2: Design of damage equivalent stress acc. to 6.8.5 and 6.8.7(1) (simplified fatigue design): The design using damage equivalent stress ranges is performed for the fatigue combination according to EN 1992‑1‑1, Chapter 6.8.3, Eq. (6.69) with the specifically defined cyclic action Q_fat.

Feature 002671 | Seismic Design of Reinforced Concrete Members According to EC 8

The Concrete Design add-on allows you to perform the seismic design of reinforced concrete members according to EC 8. This includes, among other things, the following functionalities:

Seismic design configurations
Differentiation of the ductility classes DCL, DCM, DCH
Option to transfer the behavior factor from a dynamic analysis
Check of the limit value for the behavior factor
Capacity design checks of "Strong column - weak beam"
Detailing and particular rules for curvature ductility factor
Detailing and particular rules for local ductility

Frequently Asked Questions (FAQ)

I would like to perform punching design of a floor slab. I have selected nodes for the design, but they are marked as invalid. Where did I make a mistake?

Which products do you recommend for the structural analysis and design of reinforced concrete structures?

In the table of the objects to be designed in the Concrete Design add-on, punching nodes are listed in the not valid/deactivated column, although I have defined them as punching nodes. How can I fix this?

How can I generate an area load on members via cells in RFEM 6 or RSTAB 9?

How can I use graphic templates for multi printing of a reinforcement?

How can I activate the design with steel fiber-reinforced concrete in the "Concrete Design" add-on for RFEM 6?

Customer Projects

Creation of a production and storage facility for pastries in Montbert, France

Pedestrian and Cyclist Bridge "Herzogsteg" in Eichstätt, Germany

Front View of Office Building with V-Shaped Steel Composite Columns | © Die Tragwerker GmbH

Office Building with Integrated Visitor Center and Parking Garage in Geiselbulach, Germany

Office Building of Stadtwerke Kirchheim unter Teck, Germany

Reinforced Concrete Elevator Shaft at Montluçon Station, France

New Concert Hall in La Roche-sur-Yon, France

Residential Buildings in Trieste, Italy

Deformations of Airedale Swing Bridge in RFEM

Airedale Swing Bridge in Rodley, United Kingdom

Deformations in RFEM | © Baumruck + Oswald

AQUAtherm Indoor/Outdoor Swimming Pool in Straubing, Germany

Recommended Products for You

RFEM 6 | Main Program RFEM 6

RFEM 6

Main Program

The new generation of 3D FEA software is used for the structural analysis of members, surfaces, and solids.

Price of First License 4,170.00 USD

RFEM 6 | Design

Concrete Design for RFEM 6

Add-On

The Concrete Design add-on allows for various design checks according to international standards. You can design members, surfaces, and columns, as well as perform punching and deformation analyses.

Price of First License 2,550.00 USD

RFEM 6 | Additional Analysis

Construction Stages Analysis (CSA) for RFEM 6

Add-On

The Construction Stages Analysis (CSA) add-on allows for considering the construction process of structures (member, surface, and solid structures) in RFEM.

Price of First License 1,570.00 USD

RFEM 6 | Additional Analysis

Geotechnical Analysis for RFEM 6

Add-On

In RFEM, the Geotechnical Analysis add-on uses properties from soil samples to determine the soil body to be analyzed. The accurate determination of soil conditions significantly affects the quality of the structural analysis of buildings.

Price of First License 1,120.00 USD

RFEM 6 | Dynamic Analysis

Modal Analysis for RFEM 6

Add-On

The Modal Analysis add-on allows for the calculation of eigenvalues, natural frequencies, and natural periods for member, surface, and solid models.

Price of First License 1,210.00 USD

RFEM 6 | Dynamic Analysis

Response Spectrum Analysis for RFEM 6

Add-On

The Response Spectrum Analysis add-on performs seismic analysis using multi-modal response spectrum analysis. The spectra required for this can be created in compliance with the standards or can be user-defined. The equivalent static forces are generated from them. The add-on includes an extensive library of accelerograms from seismic zones that can be used to generate the response spectra.

Price of First License 1,390.00 USD

RFEM 6 | Dynamic Analysis

Pushover Analysis for RFEM 6

Add-On

Using the Pushover Analysis add-on, you can analyze the seismic actions on a particular building, and thus assess whether the building can withstand an earthquake.

Price of First License 1,300.00 USD

RFEM 6 | Special Solutions

Building Model for RFEM 6

Add-On

The Building Model add-on for RFEM allows you to define and manipulate a building using stories. The stories can be adjusted in many ways afterwards. The information about stories and the entire model (center of gravity) is displayed in tables and graphics.

Price of First License 1,660.00 USD

RFEM 6 | Design

Masonry Design for RFEM 6

Add-On

The Masonry Design add-on for RFEM allows you to design masonry using the finite element method. It was developed as part of the research project titled DDMaS – Digitizing the Design of Masonry Structures. The material model represents the nonlinear behavior of the brick-mortar combination in the form of macro-modeling.

Price of First License 1,660.00 USD

RFEM 6 | Additional Analysis

Nonlinear Material Behavior for RFEM 6

Add-On

The Nonlinear Material Behavior add-on allows you to consider material nonlinearities in RFEM for example, isotropic plastic, orthotropic plastic, isotropic damage).

Price of First License 1,480.00 USD

RFEM 6 | Additional Analysis

Structure Stability for RFEM 6

Add-On

The Structure Stability add-on performs stability analysis of structures. It determines critical load factors and the corresponding stability modes.

Price of First License 1,300.00 USD

RFEM 6 | Additional Analysis

Torsional Warping (7 DOF) for RFEM 6

Add-On

The Torsional Warping (7 DOF) add-on allows you to consider cross-section warping as an additional degree of freedom when calculating members.

Price of First License 1,480.00 USD

RFEM 6 | Special Solutions

Multilayer Surfaces (e.g. Laminate, CLT) for RFEM 6

Add-On

The Multilayer Surfaces add-on allows you to define multilayer surface structures. The calculation can be carried out with or without the shear coupling.

Price of First License 1,300.00 USD

RFEM 6 | Special Solutions

Optimization & Cost / CO2 Emission Estimation for RFEM 6

3D Model of the Vocational School in RFEM (© Eggers Tragwerksplanung GmbH)

Add-On

The two-part Optimization & Costs / CO2 Emission Estimation add-on finds suitable parameters for parameterized models and blocks via the artificial intelligence (AI) technique of particle swarm optimization (PSO) for compliance with common optimization criteria. Furthermore, this add-on estimates the model costs or CO2 emissions by specifying unit costs or emissions per material definition for the structural model.

Price of First License 1,480.00 USD

RFEM 6 | Design

Stress-Strain Analysis for RFEM 6

Add-On

The Stress-Strain Analysis add-on performs general stress analysis by calculating the existing stresses and comparing them with the limit stresses.

Price of First License 1,210.00 USD

RFEM 6 | Design

Steel Design for RFEM 6

Add-On

The Steel Design add-on performs the ultimate and serviceability limit state design checks of steel members according to various standards.

Price of First License 2,550.00 USD

RFEM 6 | Design

Timber Design for RFEM 6

Add-On

The Timber Design add-on performs the ultimate, serviceability, and fire resistance limit state design checks of timber members according to various standards.

Price of First License 1,930.00 USD

RFEM 6 | Design

Aluminum Design for RFEM 6

Add-On

The Aluminum Design add-on performs the ultimate and serviceability limit state design checks of aluminum members according to various standards.

Price of First License 1,750.00 USD

RFEM 6 | Joints

Steel Joints for RFEM 6

Add-On

The Steel Joints add-on for RFEM allows you to analyze steel connections using an FE model. The FE model is generated automatically in the background and can be controlled via the simple and familiar input of components.

Price of First License 2,110.00 USD

RSTAB 9 | Main Program RSTAB 9

RSTAB 9

Structural Frame and Truss Analysis Software

Main Program

The modern 3D structural analysis and design program is suitable for the structural and dynamic analysis of beam structures as well as the design of concrete, steel, timber, and other materials.

Price of First License 2,910.00 USD

RSTAB 9 | Additional Analysis

Structure Stability for RSTAB 9

Add-On

The Structure Stability add-on performs the stability analysis of structures. It determines critical load factors and the corresponding stability modes.

Price of First License 1,300.00 USD

RSTAB 9 | Additional Analysis

Torsional Warping (7 DOF) for RSTAB 9

Add-On

The Torsional Warping (7 DOF) add-on allows for considering cross-section warping as an additional degree of freedom when calculating members.

Price of First License 1,480.00 USD

RSTAB 9 | Special Solutions

Optimization & Cost / CO2 Emission Estimation for RSTAB 9

Add-On

Price of First License 1,480.00 USD

RSTAB 9 | Design

Stress-Strain Analysis for RSTAB 9

Add-On

The Stress-Strain Analysis add-on performs a general stress analysis by calculating the existing stresses and comparing them to the limit stresses.

Price of First License 1,120.00 USD

RSTAB 9 | Design

Concrete Design for RSTAB 9

Add-On

Concrete Design add-on allows for various design checks of members and columns according to international standards.

Price of First License 2,550.00 USD

RSTAB 9 | Design

Steel Design for RSTAB 9

Add-On

The Steel Design add-on performs the ultimate and serviceability limit state design checks of steel members according to various standards.

Price of First License 2,550.00 USD

RSTAB 9 | Design

Timber Design for RSTAB 9

Add-On

The Timber Design add-on performs the ultimate, serviceability, and fire resistance limit state design checks of timber members according to various standards.

Price of First License 1,930.00 USD

RSTAB 9 | Design

Aluminum Design for RSTAB 9

Add-On

The Aluminum Design add-on performs the ultimate and serviceability limit state design checks of aluminum members according to various standards.

Price of First License 1,750.00 USD

Display Product Family