# gusset shear per fhwa (Excel)

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```					Shear in Gusset Plate (Truss Bridge Guide Specs. 1.11 and AISC 13th Edition J4.2)
VDL = shear force due to DL acting on the section                                                                         Bridge Number                   4700
VLL+I = shear force due to LL+I acting on the section
Vped LL = shear force due to pedestrian live load acting on the section                                                   designates input field
Fy = minimum yield strength of gusset plate material
Fu = minimum tensile strength of gusset plate material
tg = thickness of gusset plate before section loss
wg = width of the gusset plate at the cut section
Loss = percentage of section loss in gusset plates
Ag = gross area of 2 gusset plates including section loss
Nrivets = number of rivets/bolts crossed by whitmore effective width
Anet = net area of 2 gusset plates including section loss
fVny = shear yield capacity at cut section = fvy∙(0.74∙Fy/√3)∙Ag, where fvy = 1.00 (per Truss Bridge Guide Specs 1.11)
fVnu = shear rupture capacity at cut section = fvu∙(0.60∙Fu)∙An, where fvu = 0.75 (per AISC13th Edition J4.2)
fVn = smaller of fVny and fVnu
RFinv = (fVn - 1.3∙VDL - 2.17∙Vped LL) / (2.17∙VLL+I)
RFop = (fVn - 1.3∙VDL - 1.3∙Vped LL) / (1.3∙VLL+I)
diariv =   0.875     in           (diameter of rivet/bolt)
per FHWA            per FHWA

Joint    Section        VDL           VLL+I    Vped LL          Fy       Fu        tg     wg      Loss       Ag         Nrivets     Anet       fVny        fVnu    RFinv     RFop     fVny    fVnu       RFinv     RFop
k             k         k           ksi         ksi       in     in      %         in2                    in2          k           k                          k       k
U2        D-D           78            28         4          30.0        60.0     0.625   52.5      5       62.3        17.0       42.2         799        1138    11.46     19.23     759     865       10.80     18.12
U2        E-E          288           105        21          30.0        60.0     0.625   55.0      5       65.3        16.0       46.3         837        1250    1.83      3.19      795     950       1.64      2.88
U1        D-D          108            54         6          30.0        60.0     0.625   64.0      5       76.0        19.0       53.4         974        1443    7.07      11.88     925    1096       6.65      11.18
U1        E-E          455           141        28          30.0        60.0     0.625   68.0      5       80.8        19.0       58.2        1035        1571    1.25      2.23      983    1193       1.08      1.94
U3        D-D           53            21         3          30.0        60.0     0.625   53.0      5       62.9        18.0       41.6         807        1122    15.91     26.65     766     852       15.04     25.18
U3        E-E          150            81        18          30.0        60.0     0.625   53.0      5       62.9        16.0       43.9         807        1186    3.27      5.60      766     901       3.04      5.22
L4        E-E           51            62        13          30.0        60.0     0.625   45.5      5       54.0        8.0        44.5         693        1202    4.44      7.56      658     913       4.19      7.13
L4        D-D           45            37         9          30.0        60.0     0.625   47.0      5       55.8        8.0        46.3         715        1250    7.94      13.41     680     950       7.49      12.67
L4        D-D          -37            75        12          30.0        60.0     0.625   47.0      5       55.8        8.0        46.3         715        1250    4.54      7.69      680     950       4.32      7.32
L4        E-E           51            62        13          30.0        60.0     0.625   45.5     15       48.3        8.0        39.8         620        1076    3.90      6.66      589     817       3.67      6.27
L4        D-D           45            37         9          30.0        60.0     0.625   47.0     15       49.9        8.0        41.4         640        1119    7.00      11.85     608     850       6.60      11.18
L4        D-D          -37            75        12          30.0        60.0     0.625   47.0     15       49.9        8.0        41.4         640        1119    4.08      6.91      608     850       3.88      6.58
L3        A-A          107            61        13          30.0        60.0     0.625   48.0      5       57.0        8.0        47.5         731        1283    4.26      7.25      694     974       3.98      6.78
L3        B-B           95            55        11          30.0        60.0     0.625   48.0      5       57.0        6.0        49.9         731        1347    4.89      8.29      694    1023       4.58      7.78
L3        A-A          107            61        13          30.0        60.0     0.625   48.0     15       51.0        8.0        42.5         654        1148    3.67      6.28      621     872       3.43      5.86
L3        B-B           95            55        11          30.0        60.0     0.625   48.0     15       51.0        6.0        44.6         654        1205    4.24      7.22      621     915       3.97      6.76
L2        C-C          190            69        14          30.0        60.0     0.625   48.0      5       57.0        8.0        47.5         731        1283    3.03      5.19      694     974       2.78      4.78
L2        B-B          218            80        16          30.0        60.0     0.625   60.0      5       71.3        8.0        61.8         913        1667    3.43      5.86      868    1266       3.16      5.42
L2        C-C          190            69        14          30.0        60.0     0.625   48.0     15       51.0        8.0        42.5         654        1148    2.51      4.33      621     872       2.29      3.97
L2        B-B          218            80        16          30.0        60.0     0.625   60.0     15       63.8        8.0        55.3         817        1492    2.87      4.93      776    1133       2.64      4.54
L0        A-A          706           231        38          30.0        60.0     1.125   72.0      5       153.9       11.0       130.4       1973        3520    1.94      3.35     1874    2674       1.74      3.02
L0        A-A          706           231        38          30.0        60.0     1.125   72.0     15       137.7       11.0       116.7       1765        3150    1.53      2.66     1677    2392       1.35      2.36
0.0                    0.0          0           0    #DIV/0!   #DIV/0!

12/28/20111:15 PM
Shear in Gusset Plate (Truss Bridge Guide Specs. 1.11 and AISC 13th Edition J4.2)
Bridge Number                   9114
VDL = shear force due to DL acting on the section
fixed VDL = shear force due to DL acting on the section corrected                                                                                  designates input field
VLL+I = shear force due to LL+I acting on the section
fixed VLL+I = shear force due to LL+I acting on the section corrected
VPL = shear force due to PL acting on the section
Fy = minimum yield strength of gusset plate material
Fu = minimum tensile strength of gusset plate material
tg = thickness of gusset plate
wg = width of the gusset plate at the cut section
Loss = percentage of section loss in gusset plates
Ag = gross area of 2 gusset plates
Nrivets = number of rivets/bolts crossed by whitmore effective width
Anet = net area of 2 gusset plates
fVny = shear yield capacity at cut section = fvy∙(0.74∙Fy/√3)∙Ag, where fvy = 1.00 (per Truss Bridge Guide Specs 1.11)
fVnu = shear rupture capacity at cut section = fvu∙(0.60∙Fu)∙An, where fvu = 0.75 (per AISC13th Edition J4.2)
fVn = smaller of fVny and fVnu
RFinv = (fVn - 1.3∙VDL - 2.17∙VPL) / (2.17∙VLL+I)
RFop = (fVn - 1.3∙VDL - 1.3∙VPL) / (1.3∙VLL+I)
diariv =   0.875   in        (diameter of rivet/bolt)                                                                                                                                                                                                          per FHWA            per FHWA
Section Loss "A"   Section Loss "B"                         Section Loss "B"
fixed                fixed                                                                                                                        Anet "B" fVny "A" fVny "B" fVnu "A" fVnu "B"
Joint    Section       VDL                 VLL+I                VPL      Fy        Fu         tg       wg      Loss "A" Loss "B"     Ag "A"       Ag "B"     Nrivets   Anet "A"                                                  RFinv     RFop     RFinv      RFop    fVny "B"   fVnu "B"   RFinv      RFop
VDL                 VLL+I
k         k        k           k        k       ksi       ksi        in       in        %          %         in2          in2                   in2         in2     k         k       k         k                                                k          k
L2        E-E          89.4     80.0      49.0       32.7      7.0     30.0      53.0      0.625     51.5       5.0       15.0      61.2         54.7       12.0       46.2        39.7   783.9     701.3   1100.8    947.3      9.38    15.79     8.21      13.85     666.3      719.5     7.72      13.02
U2        F-F          41.7     37.3      29.1       19.4      3.1     30.0      53.0      0.500     45.0       5.0       15.0      42.8         38.3       16.0       26.8        22.3   547.9     490.3   638.0     530.7     11.71    19.65     10.34     17.37     465.7      403.1     8.27      13.91
U1        G-G         166.4    148.8      92.6       61.8      14.7    30.0      53.0      0.500     41.8       5.0       15.0      39.7         35.5        7.0       32.7        28.5   508.7     455.1   779.6     680.0      2.11    3.69      1.71      3.02      432.4      516.5     1.54       2.74
U2        H-H          99.8     89.3      79.1       52.7      11.1    30.0      53.0      0.500     36.8       5.0       15.0      35.0         31.3        9.0       26.0        22.3   448.2     401.0   619.3     531.6      2.69    4.64      2.28      3.95      381.0      403.7     2.11       3.66
L0        J-J         198.6    177.6      97.9       65.3      16.0    30.0      53.0      0.500     44.0       5.0       15.0      41.8         37.4       14.0       27.8        23.4   535.8     479.4   663.0     558.1      1.91    3.35      1.51      2.68      455.4      423.9     1.12       2.03
1.91    3.35
Sections Described --
E-E: Horizontal cut through top most rivets at joint neglecting slight offset from differing member sizes (L1-L2 is smaller than L2-L3)
F-F: Longitudinal cut through bottom most rivets at joint assuming members align
G-G: Vertical cut through right most rivets in vertical member L1-U1
H-H: Vertical cut through right most rivets in vertical member L2-U2
J-J: Horizontal cut through top most rivets at joint

12/28/20111:15 PM
Shear in Gusset Plate (Truss Bridge Guide Specs. 1.11 and AISC 13th Edition J4.2)
VDL = shear force due to DL acting on the section                                                                         Bridge Number                   6748
VLL+I = shear force due to LL+I acting on the section
Vped LL = shear force due to pedestrian live load acting on the section                                                   designates input field
Fy = minimum yield strength of gusset plate material
Fu = minimum tensile strength of gusset plate material
tg = thickness of gusset plate before section loss
wg = width of the gusset plate at the cut section
Loss = percentage of section loss in gusset plates
Ag = gross area of 2 gusset plates including section loss
Nrivets = number of rivets/bolts crossed by whitmore effective width
Anet = net area of 2 gusset plates including section loss
fVny = shear yield capacity at cut section = fvy∙(0.74∙Fy/√3)∙Ag, where fvy = 1.00 (per Truss Bridge Guide Specs 1.11)
fVnu = shear rupture capacity at cut section = fvu∙(0.60∙Fu)∙An, where fvu = 0.75 (per AISC13th Edition J4.2)
fVn = smaller of fVny and fVnu
RFinv = (fVn - 1.3∙VDL - 2.17∙Vped LL) / (2.17∙VLL+I)
RFop = (fVn - 1.3∙VDL - 1.3∙Vped LL) / (1.3∙VLL+I)
diariv =   0.875     in           (diameter of rivet/bolt)
per FHWA            per FHWA

Joint    Section        VDL           VLL+I     Vped LL          Fy      Fu        tg     wg       Loss       Ag        Nrivets     Anet       fVny        fVnu   RFinv   RFop               fVny      fVnu      RFinv     RFop
k             k           k             ksi      ksi       in     in       %          in2                   in2         k           k                                 k         k
U8        D-D         1031           365         57            50.0     70.0     0.625   87.4      5        103.8      26.0        72.9       2217        2297   0.95    1.69               2106      1744       0.35      0.70
U8        E-E          773           214         31            50.0     70.0     0.625   61.5      5         73.0      17.0        52.8       1560        1665   1.05    1.85               1482      1264       0.41      0.79
L11       B-B         1162           270         41            50.0     70.0     0.500   96.3      5         91.4      29.0        63.9       1953        2012   0.60    1.11               1856      1529      -0.12     -0.10
U6        B-B         1121           248         39            50.0     70.0     0.500   93.3      5         88.6      28.0        62.0       1892        1953   0.65    1.19               1798      1483      -0.11     -0.08

12/28/2011de8ed137-2dc1-43b5-8b1b-84ef84b4b5d6.xls

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