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 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 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 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 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);
}
