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Lightweight concrete members not requiring design shear reinforcement: the design shear resistance VlRd,c

Eurocode 2 part 1-1: Design of concrete structures \$(document).ready(function () { var freeExample = \$("#freeExample").length; \$("#mainMenu li#nav-appCate, #mainMenu li#nav-appEC211").addClass("active"); var proUser = false === true || false === true || freeExample !== 0; if (!proUser) { \$('#Input input').keyup(function(){ \$('#AlertSubscribe').modal(); }); \$('#Input select').change(function(){ \$('#AlertSubscribe').modal(); }); }; var tempInput = \$("#tempInput").text(); if (tempInput != "") { \$("#Input").parent("form").deserialize(tempInput); if (proUser) { \$("#acceptBtn").trigger("click"); } }; });  11.6.1 (1) & 6.2.2 (1)

The design shear resistance of a lightweight concrete member without shear reinforcement, VlRd,c, is given by:

 VlRd,c = [ClRd,c η1 k (100 ρl flck)1/3 + k1 σcp] bw d  ≥ (η1 vl,min + k1 σcp) bw d (11.6.2)

where:

η1
is a coefficient for determining tensile strength of lightweight concrete
flck
is the characteristic compressive strength of lightweight concrete, see Table 11.3.1
bw
is the smallest width of the cross-section in the tensile area
d
is the effective depth of the cross-section
k
= 1+ √200/d ≤ 2,0
ρl
= Asl/(bwd) ≤ 0,02
Asl
is the area of the tensile reinforcement, which extends ≥ (lbd + d) beyond the section considered, see Figure 6.3
σcp
= NEd / Ac < 0,2flcd
NEd
is the axial force in the cross-section due to loading or prestressing (NEd > 0 for compression). The influence of imposed deformations on NEd may be ignored
Ac
is the area of the cross-section of concrete
flcd
is the design compressive strength of lightweight concrete, see § 11.3.5 (1)P.
ClRd,c
is a Nationally Determined Parameter, see § 11.6.1 (1)
vl,min
is a Nationally Determined Parameter, see § 11.6.1 (1), or the application for the calculation of vl,min following the Eurocode recommendation
k1
is a Nationally Determined Parameter, see § 11.6.1 (1).

This application calculates the shear resistance VlRd,c from your inputs. Intermediate results will also be given.

Input
MPa
MPa
mm
mm
mm2
mm2
N
MPa

Output
k
ρl
σcp
MPa
the shear resistance VlRd,c
kN (11.6.2)