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
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
Element A-F
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
Element B-A
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
Element B-C
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
Element C-A
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
Element C-D
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
Element C-E
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
Element E-F
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
Element E-G
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
Element G-F
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 |