/// <summary>
///
/// </summary>
/// <param name="Section">I-section (as shape)</param>
/// <param name="SlabEffectiveWidth"></param>
/// <param name="SlabSolidThickness">Concrete fill</param>
/// <param name="SlabDeckThickness">Metal deck thickness</param>
/// <param name="F_y">Yield stress of shape</param>
/// <param name="f_cPrime">Concrete strength</param>
/// <param name="N_studs">Total number of studs (between point of zero and maximum moment)</param>
/// <param name="Q_n">Stud strength (in shear)</param>
/// <param name="N_o">Number of connectors over opening</param>
/// <param name="a_o">Length of opening</param>
/// <param name="h_o">Height of opening</param>
/// <param name="e">Eccentriciy of opening with repect to neutral axis</param>
/// <param name="t_r">Thickness of reinforcing plate</param>
/// <param name="b_r">Width of reinforcing plate</param>
/// <param name="DeckAtBeamCondition">Orientation of deck over beam </param>
/// <param name="w_rMin">Minimum deck rib width (used in case deck is parallel to beam)</param>
/// <param name="s_r">Deck rib spacing (used in case deck is parallel to beam)</param>
/// <param name="IsSingleSideReinforcement"> Indicates if reinforcement is placed on one side of the web</param>
/// <param name="PlateOffset">Reinforcement plate offset with respect to edge of web opening</param>
public CompositeIBeamWebOpening(ISectionI Section, double SlabEffectiveWidth,
double SlabSolidThickness, double SlabDeckThickness, double F_y, double f_cPrime, double N_studs, double Q_n, double N_o,
double a_o, double h_o, double e, double t_r, double b_r, DeckAtBeamCondition DeckAtBeamCondition, double w_rMin, double s_r,
bool IsSingleSideReinforcement = false, double PlateOffset=0)
: base(Section, a_o, h_o, e, F_y, t_r, b_r, IsSingleSideReinforcement, PlateOffset)
{
if (IsSingleSideReinforcement==false)
{
A_r = t_r * b_r;
}
else
{
A_r = 2.0* t_r * b_r;
}
this.N_o = N_o;
this.N_studs = N_studs;
this.Q_n = Q_n;
SumQ_n = N_studs * Q_n;
this.f_cPrime = f_cPrime;
this.SlabEffectiveWidth=SlabEffectiveWidth;
this.SlabSolidThickness=SlabSolidThickness;
this.SlabDeckThickness = SlabDeckThickness;
this.DeckAtBeamCondition = DeckAtBeamCondition;
this.w_rMin = w_rMin;
this.s_r = s_r;
this.ValuesNeedRecalculation = true;
this.ValuesCalculated = false;
}
double Get_d_l(double P_cl, DeckAtBeamCondition DeckAtBeamCondition, double w_rMin, double s_r)
{
double d_l;
double t_s;
double b_e = SlabEffectiveWidth;
switch (DeckAtBeamCondition)
{
case DeckAtBeamCondition.NoDeck:
d_l = P_cl / (1.7 * f_cPrime * b_e); //(3-18a)
break;
case DeckAtBeamCondition.Parallel:
double b_em = b_e / s_r * w_rMin;
d_l = P_cl / (1.7 * f_cPrime * b_em); //(3-18a)
break;
case DeckAtBeamCondition.Perpendicular:
t_s = SlabDeckThickness + SlabSolidThickness;
d_l = t_s - SlabSolidThickness + P_cl / (1.7 * f_cPrime * b_e); //(3-18b)
break;
default:
t_s = SlabDeckThickness + SlabSolidThickness;
d_l = t_s - SlabSolidThickness + P_cl / (1.7 * f_cPrime * b_e); //(3-18b)
break;
}
return(d_l);
}
public double GetNominalShearStrength(DeckAtBeamCondition HeadedAnchorDeckCondition, HeadedAnchorWeldCase HeadedAnchorWeldCase,
double N_saRib, double e_mid_ht, double h_r, double w_r, double d_sa, double fc_prime, double F_u, double w_c)
{
double R_g = GetGroupFactorR_g(HeadedAnchorDeckCondition, HeadedAnchorWeldCase, N_saRib, h_r, w_r);
double R_p = GetPlacementFactorR_p(HeadedAnchorDeckCondition, HeadedAnchorWeldCase, e_mid_ht);
return(GetNominalShearStrength(d_sa, R_g, R_p, fc_prime, F_u, w_c));
}
public double GetEffectiveJoistWidth(double fc_prime, double w_c, double h_solid, double h_rib,double w_r,double s_r,
DeckAtBeamCondition DeckAtBeamCondition,double L_j, double I_j,double S_j, double L_floor, BeamFloorLocationType BeamLocation)
{
double D_e = this.Get_d_e(h_solid, h_rib, w_r, s_r);
double n = Get_n(fc_prime, w_c);
double D_j = GetDistributedJoistMomentOfInertia(I_j, S_j);
double D_s = GetDistributedSlabMomentOfInertia(n, D_e);
double B_j = GetEffectiveJoistWidth(D_s, D_j, L_j, BeamLocation, L_floor);
return B_j;
}
public double GetEffectiveJoistWidth(double fc_prime, double w_c, double h_solid, double h_rib, double w_r, double s_r,
DeckAtBeamCondition DeckAtBeamCondition, double L_j, double I_j, double S_j, double L_floor, BeamFloorLocationType BeamLocation)
{
double D_e = this.Get_d_e(h_solid, h_rib, w_r, s_r);
double n = Get_n(fc_prime, w_c);
double D_j = GetDistributedJoistMomentOfInertia(I_j, S_j);
double D_s = GetDistributedSlabMomentOfInertia(n, D_e);
double B_j = GetEffectiveJoistWidth(D_s, D_j, L_j, BeamLocation, L_floor);
return(B_j);
}
public double GetPlacementFactorR_p(DeckAtBeamCondition HeadedAnchorDeckCondition, HeadedAnchorWeldCase HeadedAnchorWeldCase, double e_mid_ht)
{
double R_p;
if (HeadedAnchorWeldCase == AISC.HeadedAnchorWeldCase.WeldedDirectly)
{
//(1a) steel headed stud anchors welded directly to the steel shape;
R_p = 0.75;
}
else
{
if (HeadedAnchorDeckCondition == AISC.DeckAtBeamCondition.Parallel)
{
//(1c) steel headed stud anchors welded through steel deck, or steel sheet
//used as girder filler material, and embedded in a composite slab with
//the deck oriented parallel to the beam
R_p = 0.75;
}
else if (HeadedAnchorDeckCondition == AISC.DeckAtBeamCondition.Perpendicular)
{
if (e_mid_ht >= 2)
{
//(1b) steel headed stud anchors welded in a composite slab with the deck
//oriented perpendicular to the beam and emid-ht ≥ 2 in.;
R_p = 0.75;
}
else
{
//(3) for steel headed stud anchors welded in a composite slab with deck
//oriented perpendicular to the beam and emid-ht < 2 in
R_p = 0.6;
}
}
else //No decking
{
R_p = 0.75;
}
}
return(R_p);
}
public double GetPlacementFactorR_p(DeckAtBeamCondition HeadedAnchorDeckCondition,HeadedAnchorWeldCase HeadedAnchorWeldCase,double e_mid_ht)
{
double R_p;
if (HeadedAnchorWeldCase == AISC.HeadedAnchorWeldCase.WeldedDirectly)
{
//(1a) steel headed stud anchors welded directly to the steel shape;
R_p = 0.75;
}
else
{
if (HeadedAnchorDeckCondition == AISC.DeckAtBeamCondition.Parallel)
{
//(1c) steel headed stud anchors welded through steel deck, or steel sheet
//used as girder filler material, and embedded in a composite slab with
//the deck oriented parallel to the beam
R_p = 0.75;
}
else if (HeadedAnchorDeckCondition == AISC.DeckAtBeamCondition.Perpendicular)
{
if (e_mid_ht>=2)
{
//(1b) steel headed stud anchors welded in a composite slab with the deck
//oriented perpendicular to the beam and emid-ht ≥ 2 in.;
R_p = 0.75;
}
else
{
//(3) for steel headed stud anchors welded in a composite slab with deck
//oriented perpendicular to the beam and emid-ht < 2 in
R_p = 0.6;
}
}
else //No decking
{
R_p = 0.75;
}
}
return R_p;
}
double Get_d_l(double P_cl, DeckAtBeamCondition DeckAtBeamCondition, double w_rMin, double s_r)
{
double d_l;
double t_s;
double b_e = SlabEffectiveWidth;
switch (DeckAtBeamCondition)
{
case DeckAtBeamCondition.NoDeck:
d_l = P_cl / (1.7 * f_cPrime * b_e); //(3-18a)
break;
case DeckAtBeamCondition.Parallel:
double b_em = b_e / s_r * w_rMin;
d_l = P_cl / (1.7 * f_cPrime * b_em); //(3-18a)
break;
case DeckAtBeamCondition.Perpendicular:
t_s = SlabDeckThickness + SlabSolidThickness;
d_l = t_s - SlabSolidThickness + P_cl / (1.7 * f_cPrime * b_e); //(3-18b)
break;
default:
t_s = SlabDeckThickness + SlabSolidThickness;
d_l = t_s - SlabSolidThickness + P_cl / (1.7 * f_cPrime * b_e); //(3-18b)
break;
}
return d_l;
}
public double GetGroupFactorR_g(DeckAtBeamCondition HeadedAnchorDeckCondition, HeadedAnchorWeldCase HeadedAnchorWeldCase, double N_saRib, double h_r, double w_r)
{
double R_g;
if (HeadedAnchorWeldCase == AISC.HeadedAnchorWeldCase.WeldedDirectly)
{
//(1b) any number of steel headed stud anchors welded in a row directly to the steel shape
R_g = 1.0;
}
else
{
double w_rTo_h_r = w_r / h_r;
if (HeadedAnchorDeckCondition == AISC.DeckAtBeamCondition.Parallel)
{
if (w_r / h_r >= 1.5)
{
//(1c)
// any number of steel headed stud anchors welded in a row through
// steel deck with the deck oriented parallel to the steel shape and the
// ratio of the average rib width to rib depth = 1.5
R_g = 1.0;
}
else
{
if (N_saRib == 1)
{
//(2b) one steel headed stud anchor welded through steel deck with the deck
//oriented parallel to the steel shape and the ratio of the average rib
//width to rib depth < 1.5
R_g = 0.85;
}
else
{
R_g = 0.7; // this value is assumed as the spec does not explcitly cover the case
}
}
}
else if (HeadedAnchorDeckCondition == AISC.DeckAtBeamCondition.Perpendicular)
{
if (N_saRib == 1)
{
//(1a) one steel headed stud anchor welded in a steel deck rib with the deck
//oriented perpendicular to the steel shape;
R_g = 1.0;
}
else if (N_saRib == 2)
{
//(2a) two steel headed stud anchors welded in a steel deck rib with the deck
//oriented perpendicular to the steel shape;
R_g = 0.85;
}
else
{
//(3) for three or more steel headed stud anchors welded in a steel deck rib
//with the deck oriented perpendicular to the steel shape
R_g = 0.7;
}
}
else //No deck
{
R_g = 1.0;
}
}
return(R_g);
}
/// <summary>
///
/// </summary>
/// <param name="Section">I-section (as shape)</param>
/// <param name="SlabEffectiveWidth"></param>
/// <param name="SlabSolidThickness">Concrete fill</param>
/// <param name="SlabDeckThickness">Metal deck thickness</param>
/// <param name="F_y">Yield stress of shape</param>
/// <param name="f_cPrime">Concrete strength</param>
/// <param name="N_studs">Total number of studs (between point of zero and maximum moment)</param>
/// <param name="Q_n">Stud strength (in shear)</param>
/// <param name="N_o">Number of connectors over opening</param>
/// <param name="a_o">Length of opening</param>
/// <param name="h_o">Height of opening</param>
/// <param name="e">Eccentriciy of opening with repect to neutral axis</param>
/// <param name="t_r">Thickness of reinforcing plate</param>
/// <param name="b_r">Width of reinforcing plate</param>
/// <param name="DeckAtBeamCondition">Orientation of deck over beam </param>
/// <param name="w_rMin">Minimum deck rib width (used in case deck is parallel to beam)</param>
/// <param name="s_r">Deck rib spacing (used in case deck is parallel to beam)</param>
/// <param name="IsSingleSideReinforcement"> Indicates if reinforcement is placed on one side of the web</param>
/// <param name="PlateOffset">Reinforcement plate offset with respect to edge of web opening</param>
public CompositeIBeamWebOpening(ISectionI Section, double SlabEffectiveWidth,
double SlabSolidThickness, double SlabDeckThickness, double F_y, double f_cPrime, double N_studs, double Q_n, double N_o,
double a_o, double h_o, double e, double t_r, double b_r, DeckAtBeamCondition DeckAtBeamCondition, double w_rMin, double s_r,
bool IsSingleSideReinforcement = false, double PlateOffset = 0, double M_u = 0, double V_u = 0)
: base(Section, a_o, h_o, e, F_y, t_r, b_r, IsSingleSideReinforcement, PlateOffset, M_u, V_u)
{
if (IsSingleSideReinforcement == true)
{
A_r = t_r * b_r;
double A_f_top = Section.b_fTop * Section.t_fTop;
double A_f_bot = Section.b_fBot * Section.t_fBot;
if (A_r > A_f_top / 3.0 || A_r > A_f_bot / 3.0)
{
throw new Exception("Reinforcement area cannot exceed A_f/3");
}
}
else
{
A_r = 2.0 * t_r * b_r;
}
this.N_o = N_o;
this.N_studs = N_studs;
this.Q_n = Q_n;
SumQ_n = N_studs * Q_n;
this.f_cPrime = f_cPrime;
this.SlabEffectiveWidth = SlabEffectiveWidth;
this.SlabSolidThickness = SlabSolidThickness;
this.SlabDeckThickness = SlabDeckThickness;
this.DeckAtBeamCondition = DeckAtBeamCondition;
this.w_rMin = w_rMin;
this.s_r = s_r;
this.ValuesNeedRecalculation = true;
this.ValuesCalculated = false;
}
/// <summary>
///
/// </summary>
/// <param name="Section">I-section (as shape)</param>
/// <param name="SlabEffectiveWidth"></param>
/// <param name="SlabSolidThickness">Concrete fill</param>
/// <param name="SlabDeckThickness">Metal deck thickness</param>
/// <param name="F_y">Yield stress of shape</param>
/// <param name="f_cPrime">Concrete strength</param>
/// <param name="N_studs">Total number of studs (between point of zero and maximum moment)</param>
/// <param name="Q_n">Stud strength (in shear)</param>
/// <param name="N_o">Number of connectors over opening</param>
/// <param name="a_o">Length of opening</param>
/// <param name="h_o">Height of opening</param>
/// <param name="e">Eccentriciy of opening with repect to neutral axis</param>
/// <param name="t_r">Thickness of reinforcing plate</param>
/// <param name="b_r">Width of reinforcing plate</param>
/// <param name="DeckAtBeamCondition">Orientation of deck over beam </param>
/// <param name="w_rMin">Minimum deck rib width (used in case deck is parallel to beam)</param>
/// <param name="s_r">Deck rib spacing (used in case deck is parallel to beam)</param>
/// <param name="IsSingleSideReinforcement"> Indicates if reinforcement is placed on one side of the web</param>
/// <param name="PlateOffset">Reinforcement plate offset with respect to edge of web opening</param>
public CompositeIBeamWebOpening(ISectionI Section, double SlabEffectiveWidth,
double SlabSolidThickness, double SlabDeckThickness, double F_y, double f_cPrime, double N_studs, double Q_n, double N_o,
double a_o, double h_o, double e, double t_r, double b_r, DeckAtBeamCondition DeckAtBeamCondition, double w_rMin, double s_r,
bool IsSingleSideReinforcement = false, double PlateOffset = 0)
: base(Section, a_o, h_o, e, F_y, t_r, b_r, IsSingleSideReinforcement, PlateOffset)
{
if (IsSingleSideReinforcement == false)
{
A_r = t_r * b_r;
}
else
{
A_r = 2.0 * t_r * b_r;
}
this.N_o = N_o;
this.N_studs = N_studs;
this.Q_n = Q_n;
SumQ_n = N_studs * Q_n;
this.f_cPrime = f_cPrime;
this.SlabEffectiveWidth = SlabEffectiveWidth;
this.SlabSolidThickness = SlabSolidThickness;
this.SlabDeckThickness = SlabDeckThickness;
this.DeckAtBeamCondition = DeckAtBeamCondition;
this.w_rMin = w_rMin;
this.s_r = s_r;
this.ValuesNeedRecalculation = true;
this.ValuesCalculated = false;
}
public double GetGroupFactorR_g(DeckAtBeamCondition HeadedAnchorDeckCondition,HeadedAnchorWeldCase HeadedAnchorWeldCase, double N_saRib,double h_r,double w_r)
{
double R_g;
if (HeadedAnchorWeldCase == AISC.HeadedAnchorWeldCase.WeldedDirectly)
{
//(1b) any number of steel headed stud anchors welded in a row directly to the steel shape
R_g = 1.0;
}
else
{
double w_rTo_h_r = w_r / h_r;
if (HeadedAnchorDeckCondition == AISC.DeckAtBeamCondition.Parallel)
{
if (w_r / h_r>=1.5)
{
//(1c)
// any number of steel headed stud anchors welded in a row through
// steel deck with the deck oriented parallel to the steel shape and the
// ratio of the average rib width to rib depth ≥ 1.5
R_g = 1.0;
}
else
{
if (N_saRib == 1)
{
//(2b) one steel headed stud anchor welded through steel deck with the deck
//oriented parallel to the steel shape and the ratio of the average rib
//width to rib depth < 1.5
R_g = 0.85;
}
else
{
R_g = 0.7; // this value is assumed as the spec does not explcitly cover the case
}
}
}
else if (HeadedAnchorDeckCondition == AISC.DeckAtBeamCondition.Perpendicular)
{
if (N_saRib ==1)
{
//(1a) one steel headed stud anchor welded in a steel deck rib with the deck
//oriented perpendicular to the steel shape;
R_g = 1.0;
}
else if (N_saRib ==2)
{
//(2a) two steel headed stud anchors welded in a steel deck rib with the deck
//oriented perpendicular to the steel shape;
R_g = 0.85;
}
else
{
//(3) for three or more steel headed stud anchors welded in a steel deck rib
//with the deck oriented perpendicular to the steel shape
R_g = 0.7;
}
}
else //No deck
{
R_g = 1.0;
}
}
return R_g;
}
public double GetNominalShearStrength(DeckAtBeamCondition HeadedAnchorDeckCondition,HeadedAnchorWeldCase HeadedAnchorWeldCase,
double N_saRib,double e_mid_ht,double h_r,double w_r,double d_sa, double fc_prime, double F_u, double w_c)
{
double R_g = GetGroupFactorR_g(HeadedAnchorDeckCondition, HeadedAnchorWeldCase, N_saRib, h_r, w_r);
double R_p = GetPlacementFactorR_p(HeadedAnchorDeckCondition, HeadedAnchorWeldCase,e_mid_ht);
return GetNominalShearStrength(d_sa, R_g, R_p, fc_prime, F_u,w_c);
}
