Beam Detail Analysis

Produce a detail deformed shape, SFD/BMD, maximum stress distribution and sectional stress distribution diagrams for a particular section. Transformed section for tendons is not considered in Beam Detail Analysis. If a load combination, which contains moving loads, Beam Detail Analysis cannot be checked.

Stresses can be calculated at any points of the section for the various section types (DB, PSC, Tapered Section, Composite Section, General and Composite General Section).

The details are as follows...

From the Main Menu select Results > Detail > Beam/Element > Beam Detail Analysis.

When the element is assigned, the following results window is displayed.

DISP/SFD/BMD z-dir. Results Window

Produce deformed shape, SFD and BMD for the beam element's strong axis

Displacement: Dz
Deflected shape in the element's local z-direction and the corresponding numerical values

Di (abs) : Absolute displacement at node i (N1)

Dj (abs) : Absolute displacement at node j (N2)

Di (rel) : Relative displacement at node i (N1)

Dj (rel) : Relative displacement at node j (N2)

Note
The relative displacement is obtained by setting the smaller displacement of nodes i or j to 0 (zero) and calculating the relative displacement of the other node.

Dmax (abs) : Maximum absolute displacement and the position

Dmax (rel) : Maximum relative displacement

Dmin (abs) : Minimum absolute displacement and the position

Dmin (rel) : Minimum relative displacement

Duser (abs) : Absolute displacement and the position at the location assigned by the user

Duser (rel) : Relative displacement and the position at the location assigned by the user

Note
Move the mouse cursor to the left or right in the displacement graph or use the slide button at the bottom of the results window to assign the position of interest.

Shear Force Diagram: Fz
Shear force in the element's local z-direction and the corresponding numerical values

Fi: Shear force at node i

Fj: Shear force at node j

Fmax: Maximum shear force and the position

Fmin: Minimum shear force and the position

Fuser: Shear force and the position at the location assigned by the user

Bending Moment Diagram: My
Bending moment about the element's local y-axis and the corresponding values

Mi: Bending moment at node i

Mj: Bending moment at node j

Mmax: Maximum bending moment and the position

Mmin: Minimum bending moment and the position

Muser: Bending moment and the position at the location assigned by the user

DISP/SFD/BMD y-dir. Results Window (Refer to DISP/SFD/BMD z-dir. Results Window)

Produce the deformed shape, SFD and BMD for the beam element's weak axis

Displacement: Dy
Deflected shape in the element's local y-direction and the corresponding numerical values

Shear Force Diagram: Fy
Shear force in the element's local y-direction and the corresponding numerical values

Bending Moment Diagram: Mz
Bending moment about the element's local z-axis and the corresponding numerical values

Section Results Window

Entry

Section Stress
Select a stress component and the corresponding member force components in the dialog bar of Beam Detail Analysis and click .

Stress components

Normal
Stress in the element's local x-direction ()

Axial stress + Bending stresses due to My and Mz

Tau-xy: Shear stress in the element's local y-direction ( )

Tau-xz: Shear stress in the element's local z-direction ( )

von-Mises

von-Mises Stress =

where,

 : Maximum principal stress

 : Minimum principal stress

Tresca

Tresca Stress =

Princ.(max): Maximum principal stress

Princ.(min): Minimum principal stress

Member Force Components

Fx: Axial force in the element's x-direction

Fy: Shear force in the element's y-direction

Fz: Shear force in the element's z-direction

Mx: Torsional moment about the element's x-axis

My: Bending moment about the element's y-axis

Mz: Bending moment about the element's z-axis

Output

Longitudinal Maximum Stress
Provide the maximum and minimum distribution diagram and the corresponding numerical values for the assigned stress component along the length of a beam.

Sig-i: Maximum section stress at node i (N1) ()

Sig-j: Maximum section stress at node j (N2) ()

Sig-max: Maximum stress and the position ()

Sig-min: Minimum stress and the position ()

Sig-user: Sig-user: Maximum stress at the user-defined position / users can define the position within the x coordi.()

Note
Move the mouse cursor to the left or right in the maximum stress graph to assign the position of the stress to be checked.

Cross Section Stress
Display the stress distribution and the corresponding values for a particular section of the beam element.

Sig-max: Maximum stress and the position in the section ()

Sig-min: Minimum stress and the position in the section ()

Pos-1~Pos10 : Stresses at the Base Points

Add-1~ : Stresses at the Additional Stress Points added from the Section Manager

Assign the desired position (on the element's local y-z plane) in the section stress distribution diagram by moving the mouse cursor to the left or right and up or down. In addition, assign the desired position along the length (in the element's local x-axis) by moving the mouse cursor to the left or right in the maximum stress graph.

 :Click the Section Manager button to add Additional Stress Points.

 The added Stress Points will be immediately reflected in the ’r;Cross Section Stress’ of the ’r;Beam Detail Analysis’

:Produce an Excel Report.

Location

abs: Distance from the i node to the position assigned by the user

rel (X/L): Distance ratio relative to the total length for the position assigned by the user

Applied Forces/Moments [Fx, Fy, Fz, Mx, My, Mz]: Member forces at the position along the length assigned by the user

Note

The results produced in the Diagram and the Table can be different from those of Beam Detail Analysis since the moment of inertia can be different depending on the way of applying the axis (local direction). (Refer to Note 1. In Beam Detail Analysis, the section properties at the positions (1/4, 1/2 & 3/4) are re-calculated using the section shape information at the corresponding positions whereas in diagrams and tables, section properties at the positions (1/4, 1/2 & 3/4) are obtained by interpolation between i-end and j-end.)