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Inputs:

Elements

Element Length Weight
C-D 1.0 ft
B-C 1.4 ft
C-A 1.4 ft
B-A 2.0 ft
A-E 1.4 ft
E-G 1.0 ft
G-F 1.0 ft
E-F 1.4 ft
A-F 2.0 ft
C-E 2.0 ft


Forces

Force Direction Size Angle
F1 10.0 lb 270.0°




Results:

Reaction Forces

Force Direction Size Angle
RB[X] 40.0 lb 360.0°
RB[Y] 10.0 lb 90.0°
RD[X] 40.0 lb 180.0°


Element A-E

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Equations Results

∑M = 0 => 1.0 × RE100[Y] − 1.0 × RE100[X] = 0

∑F[X] = 0 => RA100[X] + RE100[X] = 0

∑F[Y] = 0 => RA100[Y] + RE100[Y] = 0

∑F[X] = 0 => −RA72[X] − RA75[X] − RA100[X] − RA115[X] = 0

∑F[Y] = 0 => −RA72[Y] − RA75[Y] − RA100[Y] − RA115[Y] = 0

∑F[X] = 0 => −RE100[X] − RE108[X] − RE112[X] − RE117[X] = 0

∑F[Y] = 0 => −RE100[Y] − RE108[Y] − RE112[Y] − RE117[Y] = 0

RA100[X] = 10.0 lb

RA100[Y] = 10.0 lb

RA115[X] = 10.0 lb

RA115[Y] = 0.0 lb

RA72[X] = 10.0 lb

RA72[Y] = −10.0 lb

RA75[X] = −30.0 lb

RA75[Y] = 0.0 lb

RE100[X] = −10.0 lb

RE100[Y] = −10.0 lb

RE108[X] = 0.0 lb

RE108[Y] = 0.0 lb

RE112[X] = −10.0 lb

RE112[Y] = 10.0 lb

RE117[X] = 20.0 lb

RE117[Y] = 0.0 lb

Shear Force and Moment Diagram

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Element A-F

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Equations Results

∑M = 0 => 2.0 × RF115[Y] = 0

∑F[X] = 0 => RA115[X] + RF115[X] = 0

∑F[Y] = 0 => RA115[Y] + RF115[Y] = 0

∑F[X] = 0 => −RA72[X] − RA75[X] − RA100[X] − RA115[X] = 0

∑F[Y] = 0 => −RA72[Y] − RA75[Y] − RA100[Y] − RA115[Y] = 0

∑F[X] = 0 => −RF110[X] − RF112[X] − RF115[X] = 0

∑F[Y] = 0 => −RF110[Y] − RF112[Y] − RF115[Y] = 0

RA100[X] = 10.0 lb

RA100[Y] = 10.0 lb

RA115[X] = 10.0 lb

RA115[Y] = 0.0 lb

RA72[X] = 10.0 lb

RA72[Y] = −10.0 lb

RA75[X] = −30.0 lb

RA75[Y] = 0.0 lb

RF110[X] = 0.0 lb

RF110[Y] = 10.0 lb

RF112[X] = 10.0 lb

RF112[Y] = −10.0 lb

RF115[X] = −10.0 lb

RF115[Y] = 0.0 lb

Shear Force and Moment Diagram

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Element B-A

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Equations Results

∑M = 0 => 2.0 × RA75[Y] + 0.0 × RA75[X] = 0

∑F[X] = 0 => RB75[X] + RA75[X] = 0

∑F[Y] = 0 => RB75[Y] + RA75[Y] = 0

∑F[X] = 0 => RB[X] − RB70[X] − RB75[X] = 0

∑F[Y] = 0 => RB[Y] − RB70[Y] − RB75[Y] = 0

∑F[X] = 0 => −RA72[X] − RA75[X] − RA100[X] − RA115[X] = 0

∑F[Y] = 0 => −RA72[Y] − RA75[Y] − RA100[Y] − RA115[Y] = 0

RB70[X] = 10.0 lb

RB70[Y] = 10.0 lb

RB75[X] = 30.0 lb

RB75[Y] = −0.0 lb

RA100[X] = 10.0 lb

RA100[Y] = 10.0 lb

RA115[X] = 10.0 lb

RA115[Y] = 0.0 lb

RA72[X] = 10.0 lb

RA72[Y] = −10.0 lb

RA75[X] = −30.0 lb

RA75[Y] = 0.0 lb

Shear Force and Moment Diagram

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Element B-C

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Equations Results

∑M = 0 => 1.0 × RC70[Y] − 1.0 × RC70[X] = 0

∑F[X] = 0 => RB70[X] + RC70[X] = 0

∑F[Y] = 0 => RB70[Y] + RC70[Y] = 0

∑F[X] = 0 => RB[X] − RB70[X] − RB75[X] = 0

∑F[Y] = 0 => RB[Y] − RB70[Y] − RB75[Y] = 0

∑F[X] = 0 => −RC63[X] − RC70[X] − RC72[X] − RC117[X] = 0

∑F[Y] = 0 => −RC63[Y] − RC70[Y] − RC72[Y] − RC117[Y] = 0

RB70[X] = 10.0 lb

RB70[Y] = 10.0 lb

RB75[X] = 30.0 lb

RB75[Y] = −0.0 lb

RC117[X] = −20.0 lb

RC117[Y] = 0.0 lb

RC63[X] = 40.0 lb

RC63[Y] = 0.0 lb

RC70[X] = −10.0 lb

RC70[Y] = −10.0 lb

RC72[X] = −10.0 lb

RC72[Y] = 10.0 lb

Shear Force and Moment Diagram

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Element C-A

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Equations Results

∑M = 0 => 1.0 × RA72[Y] + 1.0 × RA72[X] = 0

∑F[X] = 0 => RC72[X] + RA72[X] = 0

∑F[Y] = 0 => RC72[Y] + RA72[Y] = 0

∑F[X] = 0 => −RC63[X] − RC70[X] − RC72[X] − RC117[X] = 0

∑F[Y] = 0 => −RC63[Y] − RC70[Y] − RC72[Y] − RC117[Y] = 0

∑F[X] = 0 => −RA72[X] − RA75[X] − RA100[X] − RA115[X] = 0

∑F[Y] = 0 => −RA72[Y] − RA75[Y] − RA100[Y] − RA115[Y] = 0

RC117[X] = −20.0 lb

RC117[Y] = 0.0 lb

RC63[X] = 40.0 lb

RC63[Y] = 0.0 lb

RC70[X] = −10.0 lb

RC70[Y] = −10.0 lb

RC72[X] = −10.0 lb

RC72[Y] = 10.0 lb

RA100[X] = 10.0 lb

RA100[Y] = 10.0 lb

RA115[X] = 10.0 lb

RA115[Y] = 0.0 lb

RA72[X] = 10.0 lb

RA72[Y] = −10.0 lb

RA75[X] = −30.0 lb

RA75[Y] = 0.0 lb

Shear Force and Moment Diagram

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Element C-D

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Equations Results

∑M = 0 => −1.0 × RD63[Y] = 0

∑F[X] = 0 => RC63[X] + RD63[X] = 0

∑F[Y] = 0 => RC63[Y] + RD63[Y] = 0

∑F[X] = 0 => −RC63[X] − RC70[X] − RC72[X] − RC117[X] = 0

∑F[Y] = 0 => −RC63[Y] − RC70[Y] − RC72[Y] − RC117[Y] = 0

∑F[X] = 0 => RD[X] − RD63[X] = 0

∑F[Y] = 0 => RD[Y] − RD63[Y] = 0

RC117[X] = −20.0 lb

RC117[Y] = 0.0 lb

RC63[X] = 40.0 lb

RC63[Y] = 0.0 lb

RC70[X] = −10.0 lb

RC70[Y] = −10.0 lb

RC72[X] = −10.0 lb

RC72[Y] = 10.0 lb

RD63[X] = −40.0 lb

RD63[Y] = −0.0 lb

Shear Force and Moment Diagram

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Element C-E

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Equations Results

∑M = 0 => 2.0 × RE117[Y] = 0

∑F[X] = 0 => RC117[X] + RE117[X] = 0

∑F[Y] = 0 => RC117[Y] + RE117[Y] = 0

∑F[X] = 0 => −RC63[X] − RC70[X] − RC72[X] − RC117[X] = 0

∑F[Y] = 0 => −RC63[Y] − RC70[Y] − RC72[Y] − RC117[Y] = 0

∑F[X] = 0 => −RE100[X] − RE108[X] − RE112[X] − RE117[X] = 0

∑F[Y] = 0 => −RE100[Y] − RE108[Y] − RE112[Y] − RE117[Y] = 0

RC117[X] = −20.0 lb

RC117[Y] = 0.0 lb

RC63[X] = 40.0 lb

RC63[Y] = 0.0 lb

RC70[X] = −10.0 lb

RC70[Y] = −10.0 lb

RC72[X] = −10.0 lb

RC72[Y] = 10.0 lb

RE100[X] = −10.0 lb

RE100[Y] = −10.0 lb

RE108[X] = 0.0 lb

RE108[Y] = 0.0 lb

RE112[X] = −10.0 lb

RE112[Y] = 10.0 lb

RE117[X] = 20.0 lb

RE117[Y] = 0.0 lb

Shear Force and Moment Diagram

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Element E-F

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Equations Results

∑M = 0 => 1.0 × RF112[Y] + 1.0 × RF112[X] = 0

∑F[X] = 0 => RE112[X] + RF112[X] = 0

∑F[Y] = 0 => RE112[Y] + RF112[Y] = 0

∑F[X] = 0 => −RE100[X] − RE108[X] − RE112[X] − RE117[X] = 0

∑F[Y] = 0 => −RE100[Y] − RE108[Y] − RE112[Y] − RE117[Y] = 0

∑F[X] = 0 => −RF110[X] − RF112[X] − RF115[X] = 0

∑F[Y] = 0 => −RF110[Y] − RF112[Y] − RF115[Y] = 0

RE100[X] = −10.0 lb

RE100[Y] = −10.0 lb

RE108[X] = 0.0 lb

RE108[Y] = 0.0 lb

RE112[X] = −10.0 lb

RE112[Y] = 10.0 lb

RE117[X] = 20.0 lb

RE117[Y] = 0.0 lb

RF110[X] = 0.0 lb

RF110[Y] = 10.0 lb

RF112[X] = 10.0 lb

RF112[Y] = −10.0 lb

RF115[X] = −10.0 lb

RF115[Y] = 0.0 lb

Shear Force and Moment Diagram

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Element E-G

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Equations Results

∑M = 0 => 1.0 × RG108[Y] = 0

∑F[X] = 0 => RE108[X] + RG108[X] = 0

∑F[Y] = 0 => RE108[Y] + RG108[Y] = 0

∑F[X] = 0 => −RE100[X] − RE108[X] − RE112[X] − RE117[X] = 0

∑F[Y] = 0 => −RE100[Y] − RE108[Y] − RE112[Y] − RE117[Y] = 0

∑F[X] = 0 => −RG108[X] − RG110[X] = −F1[X]

∑F[Y] = 0 => −RG108[Y] − RG110[Y] = −F1[Y]

RE100[X] = −10.0 lb

RE100[Y] = −10.0 lb

RE108[X] = 0.0 lb

RE108[Y] = 0.0 lb

RE112[X] = −10.0 lb

RE112[Y] = 10.0 lb

RE117[X] = 20.0 lb

RE117[Y] = 0.0 lb

RG108[X] = −0.0 lb

RG108[Y] = 0.0 lb

RG110[X] = 0.0 lb

RG110[Y] = −10.0 lb

Shear Force and Moment Diagram

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Element G-F

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Equations Results

∑M = 0 => 1.0 × RF110[X] = 0

∑F[X] = 0 => RG110[X] + RF110[X] = 0

∑F[Y] = 0 => RG110[Y] + RF110[Y] = 0

∑F[X] = 0 => −RG108[X] − RG110[X] = −F1[X]

∑F[Y] = 0 => −RG108[Y] − RG110[Y] = −F1[Y]

∑F[X] = 0 => −RF110[X] − RF112[X] − RF115[X] = 0

∑F[Y] = 0 => −RF110[Y] − RF112[Y] − RF115[Y] = 0

RG108[X] = −0.0 lb

RG108[Y] = 0.0 lb

RG110[X] = 0.0 lb

RG110[Y] = −10.0 lb

RF110[X] = 0.0 lb

RF110[Y] = 10.0 lb

RF112[X] = 10.0 lb

RF112[Y] = −10.0 lb

RF115[X] = −10.0 lb

RF115[Y] = 0.0 lb

Shear Force and Moment Diagram

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