SMITH BARNEY INC STRIP ZERO US TREA SEC FD SER A
24F-2NT, 1998-02-26
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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                   FORM 24F-2
                        Annual Notice of Securities Sold
                             Pursuant to Rule 24f-2

            Read Instructions at end of Form before preparing Form.

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<S>                                                    <C>
- --------------------------------------------------------------------------------------------------------------------
1.       Name and address of issuer:

                                Smith Barney Inc.
                        388 Greenwich Street, 23rd Floor
                               New York, NY 10013

- --------------------------------------------------------------------------------------------------------------------
2.        The name of each series or class of securities for which this Form is
          filed (if the Form is being filed for all series and classes of
          securities of the issuer, check the box but do not list series or
          classes):  /   /

                       Smith Barney Shearson Unit Trusts -
                      Stripped Zero U.S. Treasury Series A


- --------------------------------------------------------------------------------------------------------------------
3.       Investment Company Act File Number:

                                                     811-4324
         Securities Act File Number:

                                                      2-98383

- --------------------------------------------------------------------------------------------------------------------
4(a).    Last day of fiscal year for which this Form is filed:

                                December 31, 1997


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4(b).    /   / Check box if this Form is being filed late (i.e., more than 90 calendar days after the end of
               the issuer's fiscal year).  (See Instruction A.2)


Note:  If the Form is being filed late, interest must be paid on the registration fee due.


- --------------------------------------------------------------------------------------------------------------------
4(c).    /   / Check box if this is the last time the issuer will be filing this Form.





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683234.1

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<S>      <C>                                                          <C>                     <C>
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5. Calculation of registration fee:
(i)      Aggregate sale price of securities sold during the fiscal                            
         year pursuant to section 24(f):                                                      $       187,138.75
                                                                                               ------------------
(ii)     Aggregate price of securities redeemed or repurchased during    
         the fiscal year:                                                $     946,721.00
                                                                          ----------------

(iii)    Aggregate price of securities redeemed or repurchased during    
         any prior fiscal year ending no earlier than October 11, 1995
         that were not previously used to reduce registration fees 
         payable to the Commission:                                       $       -
                                                                          ----------------
(iv)     Total available redemption credits [add items 5(ii) and                              
         5(iii)]:                                                                             $       946,721.00
                                                                                               ------------------

(v)      Net sales -- if Item 5(i) is greater than Item 5(iv)                                 
         [subtract Item 5(iv) from Item 5(i)]:                                                $                0
                                                                                               ------------------

(vi)     Redemption credits available for use in future years ___         
         if Item 5(i) is less than Item 5(iv) [subtract Item  5(iv)
         from Item 5(i)]:                                                 $   (759,582.25)
                                                                          ----------------

(vii)    Multiplier for determining registration fee (See Instruction                         
         C.9):                                                                                x          .000295
                                                                                               ------------------

(viii)   Registration fee due [multiply Item 5(v) by Item 5(vii)]                            
         (enter "0" if no fee is due):                                                       =$                0
                                                                                               ==================

- --------------------------------------------------------------------------------------------------------------------
6.       Prepaid Shares

If the response to Item 5(i) was determined by deducting an amount of securities
that were registered under the Securities Act of 1933 pursuant to rule 24e-2 as
in effect before October 11, 1997, then report the amount of securities (number
of shares or other units) deducted here: 0 . If there is a number of shares or
other units that were registered pursuant to rule 24e-2 remaining unsold at the
end of the fiscal year for which this form is filed that are available for use
by the issuer in future fiscal years, then state that number here: 0 .

- --------------------------------------------------------------------------------------------------------------------
7.       Interest due -- if this Form is being filed more than 90 days                   
         after the end of the issuer's fiscal year  (see Instruction D):                 +$                    0
                                                                                               ------------------

- --------------------------------------------------------------------------------------------------------------------
8.       Total of the amount of the registration fee due plus any                        
         interest due [line 5(viii) plus line 7]:                                        =$                    0
                                                                                               ==================

- --------------------------------------------------------------------------------------------------------------------
9.       Date the registration fee and any interest payment was sent to the
         Commission's lockbox depository:

Method of Delivery:

                         /   /   Wire Transfer
                         /   /   Mail or other means

- --------------------------------------------------------------------------------------------------------------------
</TABLE>

683234.1

<PAGE>








                                   SIGNATURES

            This report has been signed below by the following persons on behalf
            of the issuer and in the capacities and on the dates indicated.




            By (Signature and Title)*   /s/KEVIN KOPCZYNSKI
                                        ---------------------------
                                        Kevin Kopczynski
                                        First Vice President


         Date 2/25/98

  *Please print the name and title of the signing officer below the signature.


683234.1







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