**Problem Description**:

Linear static analysis is performed on the truss. The vertical reaction at the supports of the truss are determined. All dimensions are in inches. **Solution Type**: Linear Static**Unit:** inch/Kip/second**Model Geometry: ** Length: L = 200 in; Height: h = 90 in**Cross Sectional Properties:** Area: A = 100 in2 **Material Properties: **

• Young’s Modulus: E = 30.0 E+3 ksi

• Poisson’s Ratio: nu = 0.3**Boundary Conditions:**All translations are restrained at points A and B (pinned support). All nodes are constrained in the Z-translation, X and Y-rotations. Several point loads are applied as shown in Figure.

P1 = 4 Kip, P2 = 2 Kip, P3 =3 Kip, P4 = 6 Kip, P5 = 5 Kip, and P6 = 10 Kip.

**References:**

[1]. McCormac, J. C., Structural Analysis, 3rd Edition. New York: In Text Educational Publishers, 1975.

**APDL code**

fini /clear /prep7 ! Variables L=200 ! inches H=90 SEC_AREA=100 ! inch square EE=30E3 !psi NU=0.3 P1=4 ! lbf P2=2 P3=3 P4=6 P5=5 P6=10 ET,1,LINK180 MP,EX,1,EE MP,PRXY,1,NU !R,1,SEC_AREA SECTYPE,1,LINK,,1 SECDATA,SEC_AREA ! Geometry K,1,0,0 K,2,0,60 K,3,12.5,60 K,4,50,H K,5,50,75 K,6,100,H L,1,2 L,1,3 L,2,3 L,2,4 L,3,5 L,4,5 L,4,6 L,5,6 LDIV,1,,,4 LDIV,2,,,4 LDIV,4,,,2 LDIV,5,,,2 LDIV,7,,,3 LDIV,8,,,3 L,7,10 L,8,11 L,9,12 L,13,14 L,15,17 L,16,18 L,8,10 L,9,11 L,2,12 L,3,13 L,13,5 L,4,17 L,15,18 LGEN,,ALL,,,-L/2,,,,,1 LSYMM,X,all NUMMRG,KP SAVE ! Meshing LESIZE,ALL,,,1, LMESH,ALL SAVE !BOUNDARY CONDITIONS /SOLU ! Load FK,7,FX,P1 FK,8,FX,P1 FK,9,FX,P1 FK,26,FY,-P5 FK,15,FY,-P6 FK,16,FY,-P6 FK,6,FY,-P6 FK,34,FY,-P6 FK,28,FY,-P6 FK,2,FX,P2 + 1.5435 FK,2,FY,-2.5725 FK,13,FX,3.087 FK,13,FY,-5.145 FK,4,FX,1.5435 FK,4,FY,-P5-2.5725 ! Constrains DK,1,ALL DK,19,ALL SOLVE /POST1 PRRSOL

**RESULTS**

**Comparison**

Description | Theory [1] | ANSYS |

Vertical Reaction at Point A (Kip) | 34.3 | 34.29 |

Horizontal Reaction at Point A (Kip) | 11.5 | 11.49 |

Vertical Reaction at Point B (Kip) | 36.0 | 36.0 |

Horizontal Reaction at Point B (Kip) | -31.7 | -31.67 |