SMITH BARNEY SHEARSON UNIT TR EQU VAL TR CORE EQUITY SER
24F-2NT, 1994-02-24
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                                         February 24, 1994


      Securities and Exchange Commission
      450 Fifth Street, N.W.
      Washington, D.C. 20549

      Rule 24f-2 Notice for

      Smith Barney Shearson Unit Trusts
      Equity Value Trust - Core Equity Series 2
      CIK              892073
      Registration No. 33-47503
      ---------------------------

           (i) The fiscal year for which this notice is filed: Fiscal 
      year ended December 31, 1993.

           (ii) The number or amount of securities of the same class or 
      series which have been registered under the Securities act of 
      1933 other than pursuant to Rule 24f-2 but which were unsold at 
      the beginning of the fiscal year: None.

           (iii) The number or amount of securities registered during 
      the fiscal year other than pursuant to Rule 24f-2: None.

           (iv) The number or amount of securities sold during the 
      fiscal year: $0.00.

           (v) The number or amount of securities sold during the 
      fiscal year in reliance upon registration pursuant to Rule 24f-2: 
      $0.00.

                              By Smith Barney Shearson Inc.


                              By /s/ Frank Porcelli
                                    Vice President

      ----------------------
      * Actual aggregate sale price for which securities were sold = 
      $0.00.

      - Actual aggregate redemption or repurchase price of securities 
      of the issuer redeemed or repurchased by the issuer = 
      $565,106.28.

      Sales in excess of redemption and repurchase = $0.00.

      Multiplied by 0.00034483 = $0.00.


                              Davis Polk & Wardwell
                              450 Lexington Avenue
                            New York, New York 10017
                                 (212) 450-4000




                                           February 24, 1994



        Smith Barney Shearson Inc.
        Two World Trade Center, 101st Fl.
        New York, New York 10048


        Dear Sirs:


                  We have acted as special counsel for you of Smith 
        Barney Shearson Unit Trusts, Equity Value Trust - Core Equity 
        Series 2 (the "Fund"), in connection with the issuance of units 
        of fractional undivided interest in the Fund (the "Units") in 
        accordance with the related Trust Indenture (the "Indenture") 
        with the trustee. The accompanying Rule 24f-2 Notice (the 
        "Notice") for the Fund makes definite in number the registration 
        of Units sold in reliance upon the Rule during the fiscal period 
        covered by the Notice.  The Units covered by the Notice are 
        hereinafter referred to as the "Registered Units".

             We have examined and are familiar with originals or copies, 
        certified or otherwise identified to our satisfaction, of such 
        documents and instruments as we have deemed necessary or 
        advisable for the purpose of this instrument.

             Based upon the foregoing, we are of the opinion that the 
        Registered Units, assuming due execution and delivery of any 
        certificates evidencing the Registered Units by the Sponsor and 
        the Trustee and assuming payment for all registered Units in 
        accordance with the Indenture, have been legally issued and are 
        fully-paid and non-assessable.

                                           Very truly yours,


                                           Davis Polk & Wardwell



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