Nomenclature and Printout Explanation (LFD)
Bridge Layout
Setting | Description |
---|---|
Overall width | Overall width of the bridge. |
Left Curb/Right Curb | Width of the left and right curbs. |
Curb-to-curb width | Overall width minus curb widths. |
Number of spans | Total number of spans. |
Number of lanes | Total number of lanes. |
Lane width | Width of each lane. |
Topping Thickness | Concrete thickness of deck. |
Suppl. Thickness | Thickness of supplemental concrete layer added on top of the deck. |
Haunch Thickness | Thickness of build up over each beam flange. |
Haunch Width | Width of build up over each beam flange. |
Concrete Properties
Setting | Description |
---|---|
C.I.P | Cast-in-place topping. |
f'c | 28-day compressive strength of concrete. |
Wc | Weight of concrete. |
Ec | Modulus of elasticity of 28-day strength concrete. |
f'ci | Compressive strength of concrete at release of prestress. |
Eci | Modulus of elasticity of concrete at release. |
Span Data
Setting | Description |
---|---|
Span | Span number. |
Pier-to-pier | Centerline of pier to centerline of pier. |
Precast | Precast beam length. |
Brg-to-brg | Centerline of bearing to centerline of bearing at final conditions. |
Pier CL-Precast | Distance from centerline of left pier to left end of precast beam. |
Release | Distance between centerlines of temporary supports at release. |
Bridge c/s M.I. | Moment of inertia of the entire composite bridge cross-section. |
Beam Data
Setting | Description |
---|---|
Span | Span for which the data is listed in the particular section. |
No. | Beam line number. |
ID | Beam identification. |
Loc-prev | The distance to the centerline of a particular beam measured from the centerline of the previous beam to its left. For the first beam in a span, it is the distance between its centerline and the leftmost edge of bridge cross-section. |
Area | Gross area of cross-section of precast girder. |
M.I. | Gross moment of inertia of girder cross-section. |
Height | Height of the girder. |
Yb | Distance from bottom of girder to its center of gravity. |
B-Topg | Width of precast top flange. |
B-Trib | Tributary width over which loads will be calculated for design purposes. |
Loads on Precast
Superimposed dead loads on precast beams.
Setting | Description |
---|---|
Span | Span number. |
Beam | Beam number. |
DC/DW |
Load category. Either DC (Dead Load on Components) or DW (Dead Load on Wearing Surface). |
Type | Load type, e.g., line load or point load. |
Mag | Magnitude of line load or point load. |
Loc | Location of point load measured from left bearing. |
Diaphragm Loads
Superimposed dead loads of diaphragms on the precast beams.
Setting | Description |
---|---|
Span | Span number. |
Beam | Beam number. |
Mag | Magnitude of concentrated diaphragm load. |
Loc | Location of point load measured from left bearing. |
Loads on Composite/Supplemental
Superimposed dead loads on the compositesupplemental section.
Setting | Description |
---|---|
Span | Span number. |
DC/DW |
Load category. Either DC (Dead Load on Components) or DW (Dead Load on Wearing Surface). |
Type | Load type, e.g., area load, line load, or point load. |
Mag | Magnitude of area load, line load, or point load. |
Loc | Location of point load measured from the left pier centerline. |
Width | Width of area load. |
Live Load Library
This section lists the details of the vehicular and pedestrian live loads acting on the composite section.
Setting | Description |
---|---|
ID | Identification name of the vehicular live load. |
Width | Clearance and lane load width. See Figure 3.7.7A of AASHTO LFD. |
Wheel Spg. | Wheel spacing/gage width in transverse direction. (Standard Gage Width is 6'.) |
Lane load (adjustable) | UDL lane load defined in Figure 3.7.6B of AASHTO LFD. |
Conc. Load | Concentrated loads used with the lane load. |
Mom | Concentrated load for moment used with the lane load. |
Shear | Concentrated load for shear used with the lane load. |
Truck Load | Axle load of live load vehicle. |
Spacing increment | Indicated spacing increment between variable axles. |
Mag. | Magnitude of axle load. |
Min. spac | Minimum spacing between axle and previous axle. |
Max. spac | Maximum spacing between axle and previous axle. |
Preceding uniform load | Uniformly distributed load preceding the axle load. |
Dist | Distance between first axle of the truck and the end (farthest point) of the preceding load. |
Mag | Magnitude of uniformly distributed preceding load. |
Len | Length of the uniform preceding load. |
Trailing uniform load | Uniformly distributed load behind the axle load. Intended for use with railroad loading. |
Dist | Distance between the last axle of live load and the start (closest point) of the trailing load. |
Mag | Magnitude of uniformly distributed trailing load. |
Len | Length of the uniform trailing load. |
Pedestrian live load | Sidewalk live load. |
Precast Data
Setting | Description |
---|---|
Section ID | Girder identification. |
Type | Type of the girder. |
Flng width: Top, Bot | Top and bottom flange width of specified girder. |
Flng thick: Top, Bot | Thickness of top and bottom flanges of the specified girder. |
Stems: No | Number of stems of girder cross-section. |
Top | Stem width at its top. |
Bot | Stem width at its bottom. |
Shear width | Number of stems times average stem width. |
General Bridge Data
Setting | Description |
---|---|
Bridge width | Overall bridge width. |
Curb-to-curb | Bridge width minus curb widths. |
Beam Spac. Lt/Rt | Beam spacing. Distance from centerline of beam on left, Lt, and distance from centerline of beam on right, Rt. |
Lane Width | Design lane width. |
No. of lanes | Number of lanes across the bridge width. |
Interior/Exterior | Indicates if the beam is considered as exterior or interior beam for the purpose of calculating the live load distribution factor. |
Skew Angle | For skewed bridges, angle measured from centerline of pier to the normal to bridge centerline. |
Topping Data
Setting | Description | ||||||||
---|---|---|---|---|---|---|---|---|---|
Deck Thickness | Concrete thickness of deck. | ||||||||
Suppl. Thickness | Thickness of supplemental concrete layer added on top of deck. | ||||||||
Haunch | Thickness of build-up over the beam flange.
|
General Load Data
Setting | Description | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Dead Loads on Precast | Dead loads applied to the precast girder.
|
||||||||||
Dead Load on Composite/Supplemental | See Loads on Composite/Supplemental. | ||||||||||
Moment Impact | Moment impact factor (LFD Art. 3.8.2). | ||||||||||
Shear Impact | Shear impact factor (LFD Art. 3.8.2). | ||||||||||
DL | Dead Load. | ||||||||||
ADL | Additional Dead Load. |
Load Factors
Shows the Gamma, Beta Dead Load, and Beta Live Load factors. Refer to AASHTO LFD Art. 3.22 and Art. 3.23.
Setting | Description |
---|---|
Group | Group of loading from AASHTO LFD Art. 3.5 and Art. 3.22. Available options: Group I, I/IA, IB. |
General Span Data
Setting | Description |
---|---|
Overall Length | Overall length of precast girder. |
Release Length | Distance between temporary supports at release. |
Design Length | Bearing to bearing distance between girder supports at final. |
Miscellaneous
Setting | Description |
---|---|
Kern pts | Upper and lower kern points of the cross-section measured from the bottom of the beam. |
Trans len mult | Transfer length multipliers for bonded and debonded prestressing strands. |
Dev len mult | Development length multipliers for bonded and debonded prestressing strands. |
Distribution Factors
Setting | Description | ||||||
---|---|---|---|---|---|---|---|
Dead Load | Dead load distribution factor (computed or manual). (Listed separately for each of the Composite DL, Composite ADL, Supplemental DL, Supplemental ADL, and Supplemental Self weight loads). | ||||||
Live Load - Girder |
|
||||||
Pedestrian | Pedestrian load distribution factor (same as dead load DF). | ||||||
Calculated or Manual | Specifies whether the values were calculated by the program or user-defined. If any factors are calculated using the Lever rule, then those factors have an asterisk (*) next to them. |
Section Properties
Setting | Description |
---|---|
Precast | Section properties of precast beam alone. |
Composite | Section properties of precast beam plus topping. Same as Precast if no topping is used. If topping is used, results are for effective width of topping. |
Supplemental | Section properties of precast beam plus topping plus supplemental topping if used. |
Area | Area of Precast/Composite/Supplemental. |
Total Height | Total height of Precast/Composite/Supplemental. |
*(Asterisk) | Indicates where ratio of Ect/Ec is used for calculation of section properties for Composite and Supplemental. |
Mom of Inertia | Moment of inertia about center of gravity of Precast/Composite/Supplemental. |
Ht. of c.g. | Height of center of gravity of Precast/Composite/Supplemental measured from the bottom of the precast. |
Density | Density of concrete. |
Self-weight | Self-weight of Precast/Composite/Supplemental. |
At 28-Days | Strength, stresses, and elasticity of concrete at 28-days. |
Strength | Specified compressive strength of precast concrete, f'c, and topping, f'ct. |
Max. comp: Top | Maximum allowable compressive stress at the top of Precast/Composite/Supplemental (Art. 9.15.2.2). |
Pos. Mom, Bot | Maximum allowable compressive stress for positive moment at bottom of Precast. |
Neg. Mom. Bot | Maximum allowable compressive stress for negative moment at bottom of precast in ends of girder at piers at final (Art. 9.7.2). |
Max tens: Top | Maximum allowable tensile stress at the top of Precast/Composite/Supplemental (Art. 9.15.2.2). |
Max tens: Bot | Maximum allowable tensile stress at the bottom of Precast at final (Art. 9.15.2.2). |
Elasticity | Modulus of elasticity of Precast concrete at release, Eci. |
Use transformed strands and rebar | No" means strand and rebar is not transformed into concrete properties. "Yes" means strand and rebar are transformed into concrete section properties. An area and height of rebar to be transformed can be specified. |
Prestressed Steel
Setting | Description |
---|---|
Prestressed Steel | Information about prestressing strands. |
End Pattern | Location of strands at the end of the beam. |
Ycg | Center of gravity of strands measured from the bottom of the precast. |
Mid Pattern | Location of strands at the middle of the beam. |
Ycg | Center of gravity of strands measured from the bottom of the precast. |
Strand Dia | Diameter of one prestressing strand. |
Strand Area | Area of one prestressing strand. |
Total strand area | Total area of strands. |
Trans. len, basic | Basic transfer length (Art. 9.20.2.4). |
Trans. len, bonded | Transfer length for bonded strands. |
Trans. len, debonded | Transfer length for debonded strands. |
Ult. strength (f's) | Ultimate strength of prestressing strands, f's. |
Initial prestress | Jacking stress as a fraction of ultimate strength (Art. 9.15.1). |
Initial pull | Initial prestress times total strand area. |
Dev len, basic | Basic development length (Art. 9.2.7). |
Dev len, bonded | Development length for bonded strands. |
Dev len, debonded | Development length for debonded strands. |
Reinforcing Steel
Reinforcing steel data (Art. 9.3.2).
Setting | Description |
---|---|
Tension steel | Characteristics of tension reinforcement steel. |
fy | Specified yield strength of tension reinforcement. |
fs | Tensile stress in tension reinforcement. |
Shear steel | Characteristics of steel for shear reinforcement. |
fsy | Specified yield strength of shear reinforcement. |
Modulus of elasticity | Modulus of elasticity of tension and shear steel. |
Prestress Losses
Setting | Description | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Midspan |
|
||||||||||
Hours to release | Time between pouring of concrete and release of strands. | ||||||||||
Rel Humid (RH) | Mean annual ambient relative humidity (Art. 9.16.2). | ||||||||||
Es | Modulus of elasticity of prestressing steel strand. | ||||||||||
Eci | Modulus of elasticity of concrete, at release. | ||||||||||
AASHTO Losses | Loss of prestress by AASHTO Method (Art. 9.16). | ||||||||||
Release | Loss of prestress at release. | ||||||||||
Final | Final loss of prestress. | ||||||||||
Steel relaxation RET CRs | Loss due to relaxation of prestressing steel. (Eq. 9-10a) | ||||||||||
Elastic shortening ES | Loss of prestress due to elastic shortening. (Eq. 9-6) | ||||||||||
Fcir | Concrete stress at the center of gravity of the prestressing steel due to prestressing force and dead load of beam immediately after transfer. This value is computed at section of maximum moment. | ||||||||||
Concrete shrinkage, SH | Loss of prestress due to concrete shrinkage. (Eq. 9-4) | ||||||||||
Concrete creep, CRc | Loss of prestress due to creep of concrete. (Eq. 9-9) | ||||||||||
Fcds | Concrete stress at the center of gravity of prestressing steel due to all dead loads except the dead load present at the time prestressing force is applied. | ||||||||||
Total | Total loss of prestress at release/final. |
Shielding and Reduced Initial Pulls
Setting | Description |
---|---|
Group | Number of a group composed of one or two strands. |
Strands | Number of strands in a specified group. |
Heights/End | Location of center of gravity of the group of strands at both ends of the precast. |
Heights/Mid | Location of center of gravity of the group of strands at the midspan. |
Shielding/End | Length of shielding at midspan. Shielding extends half the specified length on each side of midspan. |
Initial Pull Frac | Initial pull fraction of strands represented as a fraction of ultimate strength of prestressing steel, f's. |
Initial Pull/Str. | Initial prestress force per strand. |
Shear and Moment Envelope
Setting | Description |
---|---|
M | Maximum moment due to a particular load component at a section. |
V | Corresponding shear associated with the above moment. This is the maximum absolute value for shear. |
M+ | Maximum positive moment due to live load, pedestrian load, or combined total maximum positive moment. |
V | Shear corresponding to M+. This is the maximum absolute value for shear. |
M- | Maximum negative moment due to live load, pedestrian load, or combined total maximum negative moment. |
V | Shear corresponding to M-. This is the maximum absolute value for shear. |
Vmax | Maximum absolute value of shear due to live load, pedestrian load, or combined total absolute maximum shear. |
M | Moment corresponding to Vmax. |
Bearing | Left and right bearing centerlines. |
Trans | Transfer location of strands taken as fifty strand diameters from the end of the precast and measured from the centerline of bearing. |
H/2 | Half of the overall depth of the member measured from the inner face of the bearing pad. |
0.xL | Point of 0.x of precast length measured from the left bearing. |
Midspan | Midspan of the girder. |
Self wt. | M and V due to self-weight of precast calculated for simply supported beam with "brg-to-brg" span length. Includes gamma factors. |
DL-Prec | M and V due to superimposed dead load acting on bare precast calculated for simply supported beam with "brg-to-brg" span length. Includes gamma and beta factors. |
Deck + Haunch | M and V due to deck and haunch weight acting on precast calculated for simply supported beam with "brg-to-brg" span length. Includes gamma and beta factors. |
Supplement | M and V due to the weight of supplemental layer acting on the composite section. |
DL-Comp | M and V due to superimposed dead loads acting on composite. Calculated for continuous beam model with "pier-to-pier" spans. Includes gamma and beta factors and DL tributary fraction. |
DL-Supp | M and V due to superimposed dead loads acting on supplemental. Calculated for continuous beam model with "pier-to-pier" spans. Includes gamma and beta factors and DL tributary fraction. |
Restrain | Restraining moments, M, due to continuity at piers if the user has selected to use these moments in design. |
LL + I | M and V envelopes due to selected truck and lane loads. Includes gamma, beta and impact factors. |
Pedestrian | M and V envelopes due to pedestrian load. Includes gamma, beta and impact factors. |
Total | Total M and V values due to all of the components listed above. |
Moments and shears for Service and Factored load combinations.
Reactions
Release Stresses
Setting | Description | ||||||
---|---|---|---|---|---|---|---|
Self wt | Stress due to girder self-weight only (considering release span).
|
||||||
Prestress | Stress due to prestressing force only at transfer.
|
||||||
Total | Total stress at release (due to prestress and self-weight).
|
||||||
*(Asterisk) | Denotes stress exceeds allowable. | ||||||
As-top | Required area of steel at the top of precast to resist the total tension force in the concrete when the net top stress exceeds the allowable value. (LFD Art. 9.15.2.1) |
Final Stresses: Positive Moment Envelope
Setting | Description | |
---|---|---|
Prest/Precast-Top | Final stress at the top of the precast due to prestressing force. | |
Prest/Bottom | Final stress at the bottom of the precast due to prestressing force. | |
Self wt/Precast-Top | Final stress at the top of the precast due to self-weight of the beam. | |
Self wt/Bottom | Final stress at the bottom of the precast due to self-weight of the beam. | |
DL-Prec/Precast-Top | G-Prec/Precast-Top | Final stress at the top of the precast due to dead loads acting on the bare precast section. |
DL-Prec/Bottom | G-Prec/Bottom | Final stress at the bottom of the precast due to dead loads acting on the bare precast section. |
Topping/Precast-Top | Final stress at the top of the precast due to the weight of the topping on the bare precast section. | |
Topping/Bottom | Final stress at the bottom of the precast due to the weight of the topping on the bare precast section. | |
DL-Comp | Final stress due to superimposed dead load on composite obtained for a model of multi-span continuous beam with pier-to-pier spans. Composite is made from precast girder and topping. | |
DL-Comp/Topping-Top | Final stress at the top of the topping due to superimposed dead loads on the composite section. | |
DL-Comp/Precast-Top | Final stress at the top of the precast due to superimposed dead loads on the composite section. | |
DL-Comp/Bottom | Final stress at the bottom of the precast due to superimposed dead loads on the composite section. | |
Suppl. weight | Final stresses due to the weight of the supplemental topping acting on the composite section. | |
DL-Suppl | Final stresses due to weight of the supplemental topping acting on the composite section. | |
LL + I (+) | Final stress due to positive moments generated by live load. | |
Total | Total final stresses due to all of the components listed above. |
Vertical Shear Art. 9.20
Setting | Description |
---|---|
*(Asterisk) | Denotes an AASHTO code violation. |
Vd | Shear force at section due to unfactored dead loads (Art. 9.20). |
Md | Total unfactored dead load moment. |
MI | Maximum live load moment at section. |
Vu | Total factored shear force at section. |
Mu | Total factored moment at section (Art. 9.17 and Art. 9.18). |
Vmu | Factored shear occurring simultaneously with Mu. |
Mmax | Maximum factored moment at section due to externally applied loads. |
Vi | Factored shear force at section due to externally applied loads occurring simultaneously with Mmax (Art. 9.20.2.2). |
fpe | Compressive stress in concrete due to effective prestress forces only (after allowance for all prestress losses) at extreme fiber of section where tensile stress is caused by externally applied loads. |
fd, psi/kPa | Stress due to unfactored dead load at extreme fiber of section where tensile stress is caused by externally applied loads. |
Mcr | Cracking moment. Moment causing flexural cracking at section due to externally applied loads. |
d | Effective depth. Distance from extreme compressive fiber to centroid of prestressing force if under positive moment, or to centroid of deck reinforcement if under negative moment. Deck steel is assumed to be located at the midheight of the deck. |
Vci-com | Computed nominal shear strength. To apply the coefficients for lightweight concrete (Art. 9.20.2.5), if concrete density is less than 115 pcf, then it is considered as "all lightweight" concrete and a factor of 0.76 is used. For density greater than 115 pcf and less than 130 pcf, it is considered "sand-lightweight" concrete and a factor of 0.85 is used. For any other density, it is considered normal. |
Vci-min | Minimum nominal shear strength. |
Vci | Nominal shear strength provided by concrete when diagonal-cracking results from combined shear and moment. |
fpc | Compressive stress in concrete (after allowance for all prestress losses) at centroid of composite cross-section or at junction of web and flange when the centroid lies within the flange. |
Vp | Vertical component of effective prestress force at section (Art. 9.20.2.3). |
Vcw | Nominal shear strength provided by concrete when diagonal cracking results from excessive principal tensile stress in web (Art. 9.20.2.3). See "Vci-com" above for lightweight concrete coefficient used. |
Vc | Nominal shear strength provided by concrete. |
Vs-reqd | Nominal shear strength provided by web reinforcement. (Art. 9.20.1.3) |
Vs-max | Maximum allowable value of Vs. (Art. 9.20.3.1) |
Av-com | Computed area of web reinforcement within a distance of s = 12 inches. |
Av-min | Minimum area of web reinforcement within a distance of s = 12 inches. |
Av | Area of web reinforcement; the greater of Av-com and Av-min. |
Av-prvd | Area of web reinforcement provided in Stirrups dialog. |
Phi*Vu/Vu | Ratio of Nominal Shear Resistance to factored shear at section. Flagged by asterisk (*) if less then 1.0. |
Vs-crit | Critical nominal shear strength limit for web reinforcement spacing. |
Max. spc | Maximum spacing of the stirrups. |
Anchorage Zone Reinforcement Art. 9.22.1
Setting | Description |
---|---|
Fpi | Force in strand, just before release. |
fs | Stress in steel. |
Abrst-req | Required steel area to be provided within a distance d/4 from the end of the beam. |
d/4 | Distance (from end of beam) within which transverse reinforcement has to be provided. |
Horizontal Shear Art. 9.20.4
Setting | Description |
---|---|
bv | Width of contact surface between the precast top flange and topping being investigated for horizontal shear. |
fsy | Yield strength of non-prestressed shear reinforcement. |
Vu | Factored shear force at section. (Art. 9.20.1.3) |
Vnh-req | Ultimate horizontal shear stress. |
d | Effective depth. Distance from extreme compressive fiber to centroid of prestressing force if under positive moment, or to centroid of deck reinforcement if under negative moment. Deck steel is assumed to be located at the midheight of the deck. |
Surf | Area of the contact surface between the beam and topping. |
s-max | Maximum spacing of the stirrups for vertical and horizontal shear. |
Avh-min | Required minimum amount of horizontal shear reinforcement. (Art. 9.20.4.5(a)) |
Avh-sm | Required amount of horizontal shear reinforcement if the contact surface is smooth, that is, not intentionally roughened. (Art. 9.20.4.3) |
Avh-rg | Required amount of horizontal shear reinforcement if the contact surface is intentionally roughened. (Art. 9.20.4.3) |
Camber and Deflections
Camber and deflections due to various loads, at the following stages:
Setting | Description | |
---|---|---|
Release | Time at which the strands are cut in the prestressing bed. | |
Erection | 30 to 60 days after release. | |
Final | Long term. | |
Mult | PCI camber and deflection multipliers. | |
Prestress | Camber for prestress girder due to prestress only. | |
Self Wt. | Deflection of girder under self-weight. | |
Deck + Haunch | Girder deflection due to deck and haunch weight. | |
Supplemental | Girder deflection due to supplemental layer weight. | |
DL-Prec | Deflection of girder due to superimposed dead load on Precast. | |
Diaphragm | Deflection of girder due to diaphragm loads. | |
DL-Comp | SG-Comp | Girder deflection due to superimposed dead load applied to composite model. |
DL-Supp | Deflection of girder due to superimposed dead load applied on composite supplemental section. | |
Live Load | Deflection due to live load. This is shown only if the user has activated the option to calculate deflections. |
Ultimate Capacity
Setting | Description |
---|---|
f'c-eff | Strength of the compression block concrete, either the beam concrete or deck concrete may be applicable. |
beta1 | Ratio of depth of equivalent compressive zone to distance from fiber of maximum compressive strain to the neutral axis. (Art. 8.16.2.7) |
A*s | Height of center of gravity of cross-section measured from the bottom of the precast. |
Ycg | Height of center of gravity of cross-section measured from the bottom of the precast. |
p*(A*s/bd) | Ratio of prestressing steel. (Art. 9.17 and Art. 9.19) |
f*su | Average stress in prestressing steel at ultimate load. (Art. 9.1.2) |
a | Approximate depth of compression block for ultimate capacity computations. |
Mu-prvd | Nominal moment of strength provided by the section. Must be greater than Mu-reqd. |
Mu-reqd | Required factored moment capacity. |
Mcr | Cracking moment. |
Crkg. Ratio | Cracking ratio. The ratio of the ultimate moment capacity to the cracking moment if the applied loads are increased to failure. Must be greater than 1.2 per Art. 9.18.2. |
Setting | Description |
---|---|
fck (girder-final) | Strength of the compression block concrete. |
As | Effective cross-sectional area of prestressing steel. |
c | Approximate depth of compression block for ultimate capacity computations. |
Mu-prvd |
Nominal moment of strength provided by the section. Must be greater than Mu. |
Mu | Required factored moment capacity. |
db | Depth of beam from max. compression edge to cg of steel. |
Mfyst | Capacity computed by yield of steel, under-reinforced section. |
Mfcrc | Capacity computed by crushing of concrete. |
Mult | Computer ultimate moment capacity. |
Mprvd/reqd | Ratio of ultimate moment capacity provided over required. |
Detensioning
Setting | Description |
---|---|
Groups | Number of group composed of one or two strands. |
Loss | Loss of prestress at release. |
Grp | Group number. |
Str | Number of strands in the group. |
Ys | Elevation of the center of gravity of the group of strands measured from the bottom of the beam. |
E | Elevation of the group of strands at the end of the beam. |
M | Elevation of the group of strands at the midspan of the beam. |
Ft | Stress at the top of the girder at a particular location. |
Fb | Stress at the bottom of the girder at a particular location. |
Final Stresses: Negative Moment Envelope
Reinforced Design
Setting | Description |
---|---|
fy | Specified yield strength of reinforcement. |
phi | Strength capacity reduction factor. For reinforcement over piers phi = 0.9 (Art. 8.16.1.2.2). |
f'c | Compressive strength of concrete at 28 days. End sections are designed using f'c (Art. 9.7.2.3.2). |
Sec | Sections for which reinforcement is calculated. |
Dist | Distance of the section measured from the left pier centerline. |
Mu-reqd | Total required factored moment. |
b | Width of compression block. |
hf | Thickness of flange under compression. |
bw | Web width of the beam. |
d | Effective depth. Distance from extreme compressive fiber to centroid of reinforcement in tension. Deck steel is assumed to be located at the midheight of the deck. |
d' | Distance from compression fiber center of gravity to centroid of compression steel (computed if necessary), which is assumed to be located 2.00 inches from the bottom flange of the beam. |
1.2*Mcr | 1.2 * cracking moment causing flexural cracking at section due to externally applied loads. |
Asb | Required amount of compression steel (bottom) for negative moments. Precast/Prestressed Girder computes the required amount of tension steel (Ast) in the deck (top), but occasionally bottom steel, assumed to be located at 2.0 inches from the bottom of the lower flange, is required to avoid an over-reinforced condition. |
Ast-r | Required amount of deck steel to resist total factored negative moment at a section. Amount required is only for the beam under consideration. It should be placed in the deck in accordance with Art. 8.17.2.1.1. |
Ast-p | Area of steel provided by the user in the Negative Moment Continuity Steel Tab on the Rebar dialog. |
M-prvd | Moment capacity computed based on user provided steel area. |
Reinforced Design (b) POSITIVE MOMENT AT PIERS
Setting | Description |
---|---|
Dist | Distance of the section measured from the left pier centerline. |
Ms | Positive Design Moment. Includes restraining moment and live load. |
b | Width of Compression block. |
hf | Thickness of Flange under Compression. |
bw | Web Width of Beam. |
d | Effective Depth. Distance from extreme compressive fiber to centroid of reinforcement in tension. Steel is assumed to be located at the 2 inches or 50 mm from the bottom flange of the beam. |
d' | Distance from compression fiber center of gravity to centroid of compression steel (computed if necessary), which is assumed to be 2 inches or 50 mm from the top of the deck. |
1.2Mcr | Cracking moment. |
Asb | Required amount of positive moment steel to resist larger of 1.2Mcr or Ms moment at a section. Amount required is only for the beam under consideration. |
Ast | Additional compression steel if required. |