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2024-01-15

Results by Member

You can display the results for members graphically using the Members navigator category. You will find the numerical results of members in the Results by Member table category.

Info

If you click on a member in the work window, the table jumps to the results of this member. The member whose row you click in the table is selected in the graphics. An arrow indicates the location x on the member.

Deformations

The image Results by Member in Table shows the table with global member deformations. They refer to the axes X, Y, and Z. The local deformations refer to the axes of the members whose descriptions depend on the specifications set in the Base Data (see the chapter Settings and Options ).

Tip

Use the Local Axis Systems of Members on/off function available on the member shortcut menu to show or hide the member axes.

The local member axis system has an impact on the signs of deformations as well: A positive displacement follows the direction of the positive local axis; a positive rotation acts clockwise about the positive member axis.

For asymmetrical cross-sections, you can define in the navigator whether the results are related to the principal axes u and v or to the default input axes y and z (see the image Selecting Local Member Deformations in Navigator).

The local displacements and rotations have the following meanings:

u Absolute value of the total displacement
ux Displacement in the direction of the local x-axis
uy Displacement in the direction of the local y-axis
uz Displacement in the direction of the local z-axis
φx Rotation about the local x-axis
φy Rotation about the local y-axis
φz Rotation about the local z-axis

The table lists the deformations of each member for the locations defined in the Result Table Manager . There, you can also control which extreme values are displayed.

If you have defined a member hinge with plastic properties , the yield deformations, the yield internal forces and moments, and the acceptance criteria are shown in the "Local Plastic Deformation Ratios" table tab.

Internal Forces

In the navigator, set the internal forces and moments to be displayed on the members. For asymmetrical cross-sections, you can also choose whether the results are related to the principal axes u and v or to the default input axes y and z (see the image Selecting Local Member Deformations in Navigator). This setting also affects the table output.

The graphical distribution of internal forces is based on the result values set according to the member divisions, which are specified in the Member Divisions for Calculation dialog box.

The table lists the internal forces and moments of each member for the locations defined in the Result Table Manager . There, you can also control which extreme values are displayed.

The member internal forces have the following meanings:

N Axial force in the direction of the longitudinal axis x of the member
Vy Shear force in the direction of the local y-axis
Vz Shear force in the direction of the local z-axis
MT Torsional moment about the member's longitudinal axis x
My Bending moment about the local y-axis
Mz Bending moment about the local z-axis
Info

The internal forces and moments according to the second-order analysis refer to the deformed member axes. If this is not convenient, you adjust theextbookmarkmanual|refer-deformed-model|Static Analysis Setting# accordingly.

The local member axis system affects the signs of internal forces.

The bending moment My is positive if tensile stresses occur at the positive member face (in the direction of the z-axis). Mz is positive if compressive stresses occur at the positive member face (in the direction of the y-axis). The sign definition for torsional moments, axial forces, and shear forces conforms to the usual conventions: These internal forces are positive if they act on the positive cut face in a positive direction.

The rules for internal forces described above only applies if the local member axis z is oriented "downwards" (see the chapter Settings and Options ). However, if the local z-axis is defined "upwards", a positive moment My causes compressive stresses on the positive side of the member, and a positive moment Mz produces tensile stresses.

Further tables of the "Results by Member" category summarize the member internal forces and moments by certain criteria. In this way you can see, for example, the extreme values for each cross-section in the "Internal Forces by Section" table.

Info

If you want to check the results of a rigid member, activate the Results on Couplings option in the "Members" category in the lower navigator section.

Strains

Member strains represent local deformations in the form of axial strains and shearing. According to Hooke's law, they result from the stresses in the members.

The strain tensor for the one-dimensional member element is as follows:

The shearing is determined according to the following equations:

The member strains have the following meanings:

εx Strain in the direction of the member axis x
γxy Shearing in the direction of the member axis y
γxz Shearing in the direction of the member axis z
κx Curvature about the member axis x
κy Curvature about the member axis y
κz Curvature about the member axis z

Contact Forces

For members provided with a member support, you can display the "Contact Forces" in the navigator and table.

The contact forces px, py, and pz are effective in the directions of the respective member axes. They are shown in relation to a standard length. For asymmetrical cross-sections, you can define in the navigator whether the results are related to the principal axes u and v or to the default input axes y and z (see the image Selecting Local Member Deformations in Navigator).

The contact moments mx about the member's longitudinal axis are also shown in relation to a standard length.

Info

If you divide the table values by the respective cross-section widths, you get the soil contact stresses.

Sum of Loads and Sum of Support Forces

For load cases and load combinations, the check sums Σ of the loading and support forces are indicated at the end of the table. This balance will show a difference if the model also has nodal supports. Those support forces should also be considered in the overall balance.

Stress

Using the entries of the "Stresses" category, you can graphically display the stress curves of axial stresses, shear stresses, and equivalent stresses on the member cross-sections. This kind of display requires no license for the Stress-Strain Analysis add-on. However, for the enveloping results of result combinations and design situations, it is not possible to show cross-section stresses.

Info

The stress curves on the cross-section are not available in the table.

In the "Stresses" category, you can select from various stress components and combinations. This way, you can check, for example, the distribution of tensile and compressive stresses due to bending, which are available on an I-section's flanges. The panel controls the assignment of values. The chapter Control Panel describes how you can adjust the colors and values.

The stresses are determined using an FEA calculation based on the internal forces and cross-section properties.

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