Precast/Prestressed Girder Help

Nomenclature & Printout Explanation (LRFD) Dialog

Bridge Layout

SettingDescription
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

SettingDescription
C.I.P Cast-in-place topping.
f'c 28-day compressive strength of concrete.
Wc Weight of concrete.
SettingDescription
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

SettingDescription
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

SettingDescription
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.

SettingDescription
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.

SettingDescription
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 composite/supplemental section.

SettingDescription
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.

SettingDescription
ID Identification name of the vehicular live load.
Description Brief description of live load.
Type Type of vehicular live load, e.g., lane, tandem, or truck.
SettingDescription
Lane Load Intensity Adjustable lane load magnitude (UDL).
Lane Load Width Lane load width (default = 10 ft.).
SettingDescription
Magnitude Magnitude of axle load.
Max. spac Maximum spacing between the axle and previous axle.
Min. spac Minimum spacing between the axle and previous axle.
Increment Indicated spacing increment between variable axles.
Truck Width Transverse truck load width in land. See Art. 3.6.1.2.1 of code.
Wheel Spacing Wheel spacing/gage width in transverse direction. (Standard Gage Width is 6'.)
SettingDescription
Preceding uniform load intensity Magnitude of uniformly distributed load preceding the axle load.
Distance Distance between first axle of truck and the end (closest point) of the preceding uniform load.
Length Length of the uniform preceding load.
Trailing uniform load intensity Uniformly distributed load behind the axle load.
Distance Distance between the last axle of live load and the start (closest point) of the trailing uniform load.
Length Length of the uniform trailing load.

Precast Data

SettingDescription
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

SettingDescription
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

SettingDescription
Deck Thickness Concrete thickness of deck.
Haunch Thickness of build-up over the beam flange.
Thickness Haunch thickness.
Width Haunch width.
Effective Width Effective flange width of the section composed of precast beam and topping. Calculation as per LRFD Art. 4.6.2.6.

General Load Data

SettingDescription
Dead Loads on Precast Dead loads applied to the precast girder.
Type Load type, e.g., line or point load.
Mag Magnitude of line or point load.
Loc Location of diaphragm point load measured from left bearing.
Dead Load on Composite/Supplemental See Loads on Composite/Supplemental.
Truck Impact Vehicular dynamic load allowance factor for truck loads. LRFD Art. 3.6.2.
Lane Impact Vehicular dynamic load allowance factor for lane loads. LRFD Art. 3.6.2.

Load Factors

Load factors for different load components in selected load combinations. Refer to LRFD Tables 3.4.1-1 and 3.4.1-2.

SettingDescription
Service I/III, Strength I/II Selected load combination.
Live Load factor for live load.
DC (max), DC (min) Maximum and minimum load factor for component dead load.
DW (max), DW (min) Maximum and minimum load factor for wearing surface.

General Span Data

SettingDescription
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

SettingDescription
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

SettingDescription
Live Moment (2+ lanes loaded) The DF for moment assuming two or more design lanes loaded.
Live Moment (1 lane loaded) The DF for moment assuming one design lane loaded.
Live Shear (2+ lanes loaded) The DF for shear assuming two or more design lanes loaded.
Live Shear (1+ lane loaded) The DF for shear assuming one design lane loaded.
Dead Load Dead load distribution factor. (Listed separately for each of the Composite DC, Composite DW, Supplemental DC, Supplemental DW, and Supplemental Self weight loads).
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

SettingDescription
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 composite section (defined above) plus supplemental layer. This output is not reported if no supplemental layer is present.
Area Area of Precast/Composite/Supplemental.
Total Height Total height of Precast/Composite/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.
Stresses at Release before Losses Strength Strength, stresses, and elasticity of concrete at release.
Strength Specified compressive strength of precast concrete, f'c, and topping, f'ct.
Max. comp Maximum allowable compressive stress at release (Service I).
Max tens Maximum allowable tensile stress at release (Service III).
Max tens, w/reinf Maximum allowable tensile stress with bonded reinforcement at release (Service III).
Elasticity Modulus of elasticity of Precast concrete at release, Eci.
Stresses after Losses Strength, stresses, and elasticity of concrete after losses at Service limit state.
Strength Specified compressive strength of precast concrete, f'c, and deck concrete, f'ct.
Elasticity Modulus of elasticity of Precast/Topping.
Max comp at Final 1 Maximum allowable compressive stress for precast and deck due to Final 1 load stage (P/S + DL + LL) under Service I.
Max comp at Final 2 Maximum allowable compressive stress for precast and deck due to Final 2 load stage (P/S + DL) under Service I.
Max comp at Final 3 Maximum allowable compressive stress for precast and deck due to Final 3 load stage (1/2(P/S + DL) + LL) under Service I.
Max tens at Service III Maximum allowable tensile stress for precast under Service III.
Use transformed strand and rebar "No" means strand and rebar is not transformed into equivalent 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

SettingDescription
Prestressed Steel Information about prestressing strands.
End Pattern Location of strands at the end of the beam.
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.
Note: Initial prestress is the prestress after fabrication loss.
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).

SettingDescription
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

SettingDescription
Str. area Area of strands at midspan.
Ycg Location at center of gravity of strands at midspan measured from the bottom of precast girder.
P-init Initial pull force.
Ecc Eccentricity of prestressing force from the centroid of the cross-section.
Days to release Time between pouring of concrete and release of strands.
Rel. Humid (RH) Mean annual ambient relative humidity.
Es Modulus of elasticity of prestressing steel strand.
Eci Modulus of elasticity of concrete, at release.
AASHTO Losses Interim 2005 Loss of prestress by AASHTO LRFD method .
Elastic shortening Loss due to elastic shortening due to initial prestress and self weight, and due to superimposed loads and deck weight (Art. 5.9.5.2.3a-1) .
Fcgp Sum of concrete stresses at the center of gravity of the prestressing tendons due to the prestressing force after jacking, and the self-weight of the member at the sections of maximum moment.
Elastic Gains Gain due to strands elongation when subjected to external loads. It has a decreasing effect on loss value.
Elastic Gain Adjustments Adjustments to elastic gains.
Time Dependent Losses Approximate Method of computing losses as per Art. 5.9.5.3.
Initial Losses of prestress at release.
Final Final loss of prestress.
Steel relaxation Loss due to concrete shrinkage of prestressing steel.
Concrete shrinkage Loss of prestress due to concrete.
Concrete creep Loss of prestress due to concrete.
Total Release Loss of prestress at release stage.
Total Final Loss of prestress at final stage (includes Elastic gains and adjustments).
Total Prestress Losses Total loss of prestress at final (initial and long term).
Time Dependent Losses Refined Method of computing losses. (Art. 5.9.5.4)
PSI beam
SettingDescription
Tid Girder creep coefficient at time of deck placement due to loading introduced at transfer. (5.9.5.4.2b)
Tdf Girder creep coefficient at final time due to loading at deck placement. (5.9.5.4.3b)
Tif Girder creep coefficient at final time due to loading introduced at transfer (5.9.5.4.2a)
PSI deck
SettingDescription
Tdf creep coefficient of deck concrete at final time due to loading introduced shortly after deck placement. (i.e., overlays, barriers, etc.)(5.9.5.4.3d)
K
SettingDescription
Kid Transformed section coefficient that accounts for time-dependent interaction between concrete and bonded steel in the section being considered for time period between transfer and deck placement. (5.9.5.4.2a)
Kdf Transformed section coefficient that accounts for time-dependent interaction between concrete and bonded steel in the section being considered for time period between deck placement and final time. (5.9.5.4.3a)
EPS Beam
SettingDescription
Tid åbid = concrete shrinkage strain of girder between transfer and deck placement (in./in.) (5.9.5.4.2a)
Tdf åbdf = shrinkage strain of girder between time of deck placement and final time (in./in.) (5.9.5.4.3a)
Tif Shrinkage strain of girder between time of transfer and final time
EPS deck
SettingDescription
Tif åddf = shrinkage strain of deck concrete between placement and final time (in./in.) (5.9.5.4.3d)
V/S Ratio Volume-to-surface ratio. (5.4.2.3.2)

Midspan

SettingDescription
Str. area Area of strands at midspan.
Ycg Location at center of gravity of strands at midspan measured from the bottom of precast girder.
P-init Initial pull force.
Ecc Eccentricity of prestressing force from the centroid of the cross-section.
Days to release Time between pouring of concrete and release of strands.
Rel. Humid. (RH) Mean annual ambient relative humidity.
Es Modulus of elasticity of prestressing steel strand.
Eci Modulus of elasticity of concrete, at release.
AASHTO Losses Loss of prestress by AASHTO LRFD Method.
Release Loss of prestress at release (Art. 5.9.5).
Steel relaxation Loss due to relaxation of prestressing steel.
Elastic shortening Loss due to elastic shortening. (Art. 5.9.5.2.3)
fcgp Sum of concrete stresses at the center of gravity of the prestressing tendons due to the prestressing force after jacking and the self-weight of the member at the sections of maximum moment.
Total Total loss of prestress at release.
Final Final loss of prestress (Art. 5.9.5).
Steel relaxation Loss due to relaxation of prestressing steel.
Elastic shortening Loss of prestress due to elastic shortening.
fcgp Concrete stress at center of gravity of prestressing steel at transfer.
Concrete shrinkage Loss of prestress due to concrete shrinkage (Art. 5.9.5.4.2a/5.9.5.4.3a).
Concrete creep Loss of prestress due to creep of concrete (Art. 5.9.5.4.2b/5.9.5.4.3b).
fcdp Concrete stress at the center of gravity of the 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 final.

Shielding and Reduced Initial Pulls

SettingDescription
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

Moments and shears for Service and Strength load combinations.

SettingDescription
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.
(Max) Corresponding M and V values are computed using maximum load factor for that particular load (gamma-max). These load factors are printed in the Load Factors section on the printout.
(Min) Corresponding M and V values are computing using minimum load factor for that particular load (gamma-min). These load factors are printed in the Load Factors section on the printout. These entries are for strength combinations only.
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 DC M and V due to superimposed dead load of components and attachments acting on bare precast calculated for simply supported beam with "brg-to-brg" span length. Includes gamma factors.
DL-Prec DW M and V due to superimposed dead load of wearing surface and utilities acting on bare precast calculated for simply supported beam with "brg-to-brg" span length. Includes gamma 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 DC M and V due to superimposed dead loads of components and attachments acting on composite. Calculated for continuous beam model with "pier-to-pier" spans. Includes gamma factors and DL distribution factor.
DL-Comp DW M and V due to superimposed dead loads of wearing surface and utilities acting on composite. Calculated for continuous beam model with "pier-to-pier" spans. Includes gamma factors and DL distribution factor.
DL-Supp DC 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.
DL-Supp DW M and V due to superimposed dead loads of wearing surface and utilities acting on supplemental section. Calculated for continuous beam model with "pier-to-pier" spans. Includes gamma factors and DL distribution factor.
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

Note: Upward reactions are positive. Live load reactions are per lane with no distribution factor and no impact factor considered. Non-composite load types are per beam. Composite, Supplemental, and Pedestrian load types are per total bridge width. Individual reaction values (under both Service and Strength conditions) are reported at the Left and Right supports for the following load components: Self-wt, Deck + Haunch, Diaphragm, DL-Prec. (DC), DL-Prec. (DW), DL-Comp (DC), DL-Comp (DW), Supplemental, DL-Supp. (DC), DL-Supp. (DW), Live Loads, and Pedestrian Loads

Release Stresses

Note: Release stresses are shown for only half a beam due to the symmetry of prestress and self-weight. When the total stress exceeds the specified allowable stress, an asterisk is printed beside the exceeded value. Release stresses are computed and shown under both Service I and Service III limit states. Under Service I limit state, only compressive stresses are considered and under Service III limit state, only tensile stresses are considered.
SettingDescription
Beam-Self Stress due to girder self-weight only (considering release span).
Beam-Self-Precast-Top Stress at the top of the precast due to self-weight.
Beam-Self-Bottom Stress at the bottom of the precast due to self-weight.
Prestress Stress due to prestressing force only at transfer.
Prestress-Precast-Top Stress at the top of the precast due to prestressing force.
Prestress-Bottom Stress at the bottom of the precast due to prestressing force.
Total Total stress at release (due to prestress and self-weight).
Total-Precast-Top Total stress at the top of the precast due to prestress and self-weight.
Total-Bottom Total stress at the bottom of the precast due to prestress and self-weight.
*(Asterisk) Denotes stress is more than 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.

Final Stresses: Positive Moment Envelope

Note: Final stresses are shown for half a beam only. See Full Beam and Half Beam LFD and LRFD for more information. Stresses are checked for both halves of the beam and the controlling stress is reported. Positive sign of the stress indicates compression and negative indicates tension. When the total stress exceeds the specified allowable stress, an asterisk is printed beside the exceeded value. Final 1, 2 and 3 refer to the conditions described in Art. 5.9.4.2.1. Final stresses are computed and shown under both Service I and Service III limit states. Under Service I limit state, only compressive stresses are considered, and under Service III limit state, only tensile stresses are considered.
SettingDescription
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 (DC or DW)/Precast-Top Final stress at the top of the precast due to dead loads (DC or DW) acting on the bare precast section.
DL-Prec ((DC or DW)/Bottom Final stress at the bottom of the precast due to dead loads (DC or DW) acting on the bare precast section.
Diaphragm/Precast-Top Final stress at the bottom of the precast due to diaphragm acting on the bare precast section.
Diaphragm/Bottom Final stress at the bottom of the precast due to the weight of the topping 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 (DC or DW) Final stress due to dead load on composite obtained for a model of multi-span continuous beam with "pier-to-pier" spans. Composite section is based on both precast girder and topping. The stresses are shown separately for the dead load of components (DC) and dead load of wearing surface (DW) loads.
DL-Comp/Topping-Top Final stress at the top of the topping due to 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.
PCA Stresses/Topping-Top Final stress at the top of the topping due to PCA restraining moments on the composite section.
PCA Stresses/Precast-Top Final stress at the top of the precast due to PCA restraining moments on the composite section.
PCA Stresses/Bottom Final stress at the bottom of the precast due to PCA restraining moments 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.

Printout Explanation: Vertical Shear: General Method - Art. 5.8.3.4.2

Indicates if Beta-Theta were computed using equations or tables.

SettingDescription
Vu Total factored shear force at section.
Mcor Total corresponding factored moment at section.
a Depth of equivalent rectangular stress block.
Theta Angle of inclination of diagonal compressive stresses, degrees (Art. 5.8.3.3).
Beta Factor relating effect of longitudinal strain on the shear capacity of concrete to transmit tension, specified in Art. 5.8.3.4.
bv Effective web width for shear as determined in Art. 5.8.2.9.
de Effective depth from extreme compression fiber to the centroid of the tensile force in the tensile reinforcement.
dv Effective shear depth as determined in Art. 5.8.2.9.
Aps

Area of prestressing steel on the flexural tension side of the member, modified to include the effect of the gradual buildup of the strand force in the development length.

fpo Stress in the prestressing steel, when the stress in the surrounding concrete is 0.0.
eps_x The strain in the reinforcement on the flexural tension side of the member.
v/fc Ratio of factored shear stress (Eq. 5.8.2.9-1) to strength of concrete at 28 days.
Vp Component in the direction of the applied shear of the effective prestressing force, positive if resisting the applied shear (Art. 5.8.3.3).
Vc-com Nominal shear strength provided by concrete (Art. 5.8.2.4).
Vs-reqd Nominal shear strength provided by transverse web reinforcement (Eq. 5.8.3.3-4).
Av/s Area of transverse reinforcement within a distance of s =12 in (s = 1 m) (Eq. C5.8.3.3-1).
Phi*Vu/Vu Ratio of Nominal Shear Resistance to factored shear at section. Flagged by asterisk (*) if less than 1.0.
Max spc Maximum spacing of the stirrups (Art. 5.8.2.7).
Min Av/s Minimum area of transverse reinforcement within a distance of s = 12 in (s = 1 m) (Art. 5.8.2.5-1).
Al_reqd Required area of longitudinal reinforcement (Art. 5.8.3.5), computed as [(the right hand side of Equation 5.8.3.5-1) - Aps*fps]/fy.

Vertical Shear Art. 9.20

SettingDescription
*(Asterisk) Denotes an AASHTO code violation.
SettingDescription
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.
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.
fcpe 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 Stress due to unfactored dead load at extreme fiber of section where tensile stress is caused by externally applied loads.
Mdnc Total unfactored dead load moment acting on the non-composite section.
Mcre Cracking moment. Moment causing flexural cracking at section due to externally applied loads.
dv 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 mid-height of the deck.
Vci-com Computed nominal shear strength (5.8.3.4.3-1).
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. (included in Vcw2 calc).
Vcw Nominal shear strength provided by concrete when diagonal cracking results from excessive principal tensile stress in web (5.8.3.4.3-3).
Vc Nominal shear strength provided by concrete (lesser of Vci and Vcw).
Vs-reqd Nominal shear strength required by web reinforcement.
Vs-max Maximum allowable value of Vs.
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 Computed based on user provided area reinforcement.
Phi*Vu/Vu Ratio of phi Vn (i.e. Phi * (Vc+Vs-provd)) over Vu.

Anchorage Zone Reinforcement: LRFD Art. 5.10.10.1

SettingDescription
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.
h/5 Distance (from end of beam) within which transverse reinforcement has to be provided.

Horizontal Shear Art. 5.8.4 (LRFD)

SettingDescription
Vu Factored shear force at section.
Vnh-req Ultimate horizontal shear stress.
de 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.
a Depth of equivalent rectangular stress block for ultimate moment for same load combination.
dv 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.
s_max Maximum spacing of the stirrups for vertical and horizontal shear.
Avh-min Required minimum amount of horizontal shear reinforcement (Art. 5.8.4.1).
Avh-sm Required amount of horizontal shear reinforcement if the contact surface is smooth, that is, not intentionally roughened (Art. 5.8.4.2).
Avh-rg Required amount of horizontal shear reinforcement if the contact surface is intentionally roughened (Art. 5.8.4.2).

Camber and Deflections

Camber and deflections due to various loads, at the following stages:

SettingDescription
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 (DC) Deflection of girder due to superimposed dead load on DC on precast.
DL-Prec (DW) Deflection of girder due to superimposed dead load DW on precast.
Diaphragm Deflection of girder due to diaphragm loads.
DL-Comp (DC) Girder deflection due to superimposed dead load DC applied on composite section.
DL-Comp (DW) Girder deflection due to superimposed dead load DW applied on composite section.
DL-Supp (DC) Girder deflection due to superimposed dead load DC applied on supplemental section.
DL-Supp (DW) Girder deflection due to superimposed dead load DW applied on 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

Note: The ultimate capacity (Mr-provd) of the beam is computed and compared against the required capacity (Mu). Eq. 5.7.3.2.2-1 is used to compute the section capacity. The effect of any partially developed strands is accounted for by linearly reducing the nominal area of the strands at a given section along the beam in accordance with their development length. This is shown in the printout as the effective area of steel, Aps.
SettingDescription
Mu Required factored moment capacity.
dp Distance from compression face to centroid of prestressing steel.
Aps Effective cross-sectional area of prestressing steel.
fps Average stress in prestressing steel at ultimate load (Art. 5.7.3.1.1).
c Distance between the neutral axis and compressive face.
a Approximate depth of compression block for ultimate capacity computations.
Mr-prvd Nominal moment strength provided by the section. Must be greater than Mu-reqd.
eps_t Net tensile strain in the extreme tension steel at nominal resistance (in./in.)
Phi Resistance factor computed based on eps_t (Art. 5.5.4.2.1).
1.2 Mcr 1.2 times cracking moment.
Min Mr Minimum resistance required (Art. 5.7.3.3.2).
min rein ratio Minimum reinforcement ratio is equal to Mr-provd/Min Mr. This should be greater than or equal to 1.000 to satisfy Art. 5.7.3.3.2.
fr Modulus of Rupture (AASHTO LRFD or User Defined).

Detensioning

Note: Simulation of strand cutting operation. Represents the state of stress at the top and bottom of the beam as each group of strands is cut or detensioned. Generally this is of importance only to fabricators or consulting engineers designing straight patterns with debonded strands.
SettingDescription
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

Note: Final stresses are shown for half a beam only. Stresses are compared for both halves of the beam and the controlling stress is reported. Positive sign of the stress indicates compression and negative sign indicates tension. When the total stress exceeds the specified allowable stress, an asterisk is printed beside the exceeded value. For definition of individual terms, see Final Stresses: Positive Moment Envelope.

Reinforced Design

Note: The required quantity of negative moment reinforcement in the deck is computed based on loads, which act on the composite section only. The required amount of top (and bottom, if any) steel shown represents the amount of steel associated with the beam under consideration and should be provided within the effective flange width or 1/10 of the average of adjacent spans between bearings. Top steel is assumed to be located at the mid-height of the deck. Bottom steel, occasionally necessary to avoid over-reinforced condition, is assumed to be located at two inches from the bottom flange of the precast (compression face).
SettingDescription
Sec Sections for which reinforcement is calculated.
Dist Distance of the section measured from the left pier centerline.
Mu Total factored negative moment for strength load combination at that section. (Of only those loads which cause negative moment and act on the composite section.)
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.
Phi Resistance factor computed based on c/dt ratio (Art. 5.5.4.2.1).
Phi*Mn-r Phi times nominal flexural resistance of section based on provided steel Asb or Ast-r.
c/dt Ratio of the depth of neutral axis to distance from extreme compression fiber to centroid of extreme tension steel.
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 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 effective flange width or 1/10 of the average of adjacent spans between bearings.
Ast-p Area of steel provided by user in the Negative Moment Reinforcing tab on the Rebar dialog.
Phi*Mn-r Moment Capacity computed based on user provided reinforcing steel only.
SettingDescription
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.

Design Summary

Note: A comprehensive summary of the entire design is reported at the end of the output file. The summary compiles all important information regarding Beam and Span information, Strand Data, Concrete Properties, Release Stresses, Ultimate Capacity, Debonding Percentages, Allowable and Computed Envelope Stresses, and Camber and Deflection values at mid-span.