If you already have the parameters exported as custom iProperties, you can add them to the assembly parts list in your drawing environment:

And if you need to export the parameter in each file first, here is some code I used for the case you see above:
Sub Main
If ThisApplication.ActiveDocument.DocumentType = kPartDocumentObject Or ThisApplication.ActiveDocument.DocumentType = kAssemblyDocumentObject Then Else Exit Sub
Dim openDoc As Document = ThisApplication.ActiveDocument
'Look at all of the files referenced in the open document
Dim docFile As Document
Dim oTrans As Transaction = ThisApplication.TransactionManager.StartTransaction(openDoc, "iProperty Formatting")
If openDoc.DocumentType = kPartDocumentObject
Call Formatting(openDoc)
Else
For Each docFile In openDoc.AllReferencedDocuments
'look at only part files that are modifiable
If docFile.DocumentType = kPartDocumentObject And docFile.IsModifiable = True And InStr(docFile.FullFileName,"-CAS-") >0
Call Formatting(docFile)
End If
Next
End If
oTrans.End
iLogicVb.UpdateWhenDone = True
End Sub
Sub Formatting(oDoc As PartDocument)
'[
'For Jamb Width Parameter
Try
oJamb = oDoc.ComponentDefinition.Parameters.Item("DOOR_JW")
Catch
oJamb = oDoc.ComponentDefinition.Parameters.UserParameters.AddByValue("DOOR_JW", 36, "in")
End Try
oJamb.ExposedAsProperty = True
oFormat=oJamb.CustomPropertyFormat
oFormat.PropertyType=Inventor.CustomPropertyTypeEnum.kTextPropertyType
oFormat.Precision=Inventor.CustomPropertyPrecisionEnum.kSixtyFourthsFractionalLengthPrecision
oFormat.Units = "in"
' oFormat.ShowUnitsString = False
' oFormat.ShowLeadingZeros = False
' oFormat.ShowTrailingZeros = True
'] For Jamb Width Parameter
'[
'For Jamb Height Parameter
Try
oJamb = oDoc.ComponentDefinition.Parameters.Item("DOOR_JH")
Catch
oJamb = oDoc.ComponentDefinition.Parameters.UserParameters.AddByValue("DOOR_JH", 84, "in")
End Try
oJamb.ExposedAsProperty = True
oFormat=oJamb.CustomPropertyFormat
oFormat.PropertyType=Inventor.CustomPropertyTypeEnum.kTextPropertyType
oFormat.Precision=Inventor.CustomPropertyPrecisionEnum.kSixtyFourthsFractionalLengthPrecision
oFormat.Units = "in"
' oFormat.ShowUnitsString = False
' oFormat.ShowLeadingZeros = False
' oFormat.ShowTrailingZeros = True
'] For Jamb Height Parameter
'[
'For Jamb Depth Parameter
Try
oJamb = oDoc.ComponentDefinition.Parameters.Item("JD")
Catch
oJamb = oDoc.ComponentDefinition.Parameters.UserParameters.AddByValue("JD", 6, "in")
End Try
oJamb.ExposedAsProperty = True
oFormat=oJamb.CustomPropertyFormat
oFormat.PropertyType=Inventor.CustomPropertyTypeEnum.kTextPropertyType
oFormat.Precision=Inventor.CustomPropertyPrecisionEnum.kSixtyFourthsFractionalLengthPrecision
oFormat.Units = "in"
' oFormat.ShowUnitsString = False
' oFormat.ShowLeadingZeros = False
' oFormat.ShowTrailingZeros = True
'] For Jamb Depth Parameter
'[
'For Jamb Width Parameter
Try
oJamb = oDoc.ComponentDefinition.Parameters.Item("FACE_JW")
Catch
oJamb = oDoc.ComponentDefinition.Parameters.UserParameters.AddByValue("FACE_JW", 36, "in")
End Try
oJamb.ExposedAsProperty = True
oFormat=oJamb.CustomPropertyFormat
oFormat.PropertyType=Inventor.CustomPropertyTypeEnum.kTextPropertyType
oFormat.Precision=Inventor.CustomPropertyPrecisionEnum.kSixtyFourthsFractionalLengthPrecision
oFormat.Units = "in"
' oFormat.ShowUnitsString = False
' oFormat.ShowLeadingZeros = False
' oFormat.ShowTrailingZeros = True
'] For Jamb Width Parameter
'[
'For Jamb Height Parameter
Try
oJamb = oDoc.ComponentDefinition.Parameters.Item("FACE_JH")
Catch
oJamb = oDoc.ComponentDefinition.Parameters.UserParameters.AddByValue("FACE_JH", 84, "in")
End Try
oJamb.ExposedAsProperty = True
oFormat=oJamb.CustomPropertyFormat
oFormat.PropertyType=Inventor.CustomPropertyTypeEnum.kTextPropertyType
oFormat.Precision=Inventor.CustomPropertyPrecisionEnum.kSixtyFourthsFractionalLengthPrecision
oFormat.Units = "in"
' oFormat.ShowUnitsString = False
' oFormat.ShowLeadingZeros = False
' oFormat.ShowTrailingZeros = True
'] For Jamb Height Parameter
oDoc.Rebuild
End Sub
You will want to modify the parameter names in the sub routine and the filter in the main sub to look for only your Beam parts.
Let me know if you have any questions.