diff --git a/icu4c/source/common/rbbirb.h b/icu4c/source/common/rbbirb.h
index 72c775cf717..7b38187fd53 100644
--- a/icu4c/source/common/rbbirb.h
+++ b/icu4c/source/common/rbbirb.h
@@ -52,7 +52,7 @@ private:
 };
 
 
-class RBBISymbolTable : public SymbolTable {
+class RBBISymbolTable : public UMemory, public SymbolTable {
 private:
     const UnicodeString      &fRules;
     UHashtable               *fHashTable;
@@ -80,27 +80,9 @@ public:
 
     virtual void      print() const;
 
-    /**
-     * ICU "poor man's RTTI", returns a UClassID for the actual class.
-     *
-     * @draft ICU 2.2
-     */
-    virtual inline UClassID getDynamicClassID() const { return getStaticClassID(); }
-
-    /**
-     * ICU "poor man's RTTI", returns a UClassID for this class.
-     *
-     * @draft ICU 2.2
-     */
-    static inline UClassID getStaticClassID() { return (UClassID)&fgClassID; }
-
 private:
-
-    /**
-     * The address of this static class variable serves as this class's ID
-     * for ICU "poor man's RTTI".
-     */
-    static const char fgClassID;
+    RBBISymbolTable(const RBBISymbolTable &other); // forbid copying of this class
+    RBBISymbolTable &operator=(const RBBISymbolTable &other); // forbid copying of this class
 };
 
 
diff --git a/icu4c/source/common/rbbistbl.cpp b/icu4c/source/common/rbbistbl.cpp
index c04e32d73f8..7f981ba156a 100644
--- a/icu4c/source/common/rbbistbl.cpp
+++ b/icu4c/source/common/rbbistbl.cpp
@@ -38,10 +38,6 @@ U_CDECL_END
 
 U_NAMESPACE_BEGIN
 
-const char RBBISymbolTable::fgClassID=0;
-
-
-
 RBBISymbolTable::RBBISymbolTable(RBBIRuleScanner *rs, const UnicodeString &rules, UErrorCode &status)
     :fRules(rules), fRuleScanner(rs), ffffString(UChar(0xffff))
 {
diff --git a/icu4c/source/i18n/rbt_pars.cpp b/icu4c/source/i18n/rbt_pars.cpp
index 9b16a0ebc5f..c06b6ff0d1a 100644
--- a/icu4c/source/i18n/rbt_pars.cpp
+++ b/icu4c/source/i18n/rbt_pars.cpp
@@ -106,7 +106,7 @@ U_NAMESPACE_BEGIN
  * have been defined so far.  Note that it uses variablesVector,
  * _not_ data.setVariables.
  */
-class ParseData : public SymbolTable {
+class ParseData : public UMemory, public SymbolTable {
 public:
     const TransliterationRuleData* data; // alias
 
@@ -133,31 +133,11 @@ public:
      */
     UBool isReplacer(UChar32 ch);
 
-    /**
-     * ICU "poor man's RTTI", returns a UClassID for the actual class.
-     *
-     * @draft ICU 2.2
-     */
-    virtual inline UClassID getDynamicClassID() const { return getStaticClassID(); }
-
-    /**
-     * ICU "poor man's RTTI", returns a UClassID for this class.
-     *
-     * @draft ICU 2.2
-     */
-    static inline UClassID getStaticClassID() { return (UClassID)&fgClassID; }
-
 private:
-
-    /**
-     * The address of this static class variable serves as this class's ID
-     * for ICU "poor man's RTTI".
-     */
-    static const char fgClassID;
+    ParseData(const ParseData &other); // forbid copying of this class
+    ParseData &operator=(const ParseData &other); // forbid copying of this class
 };
 
-const char ParseData::fgClassID=0;
-
 ParseData::ParseData(const TransliterationRuleData* d,
                      const UVector* sets) :
     data(d), variablesVector(sets) {}