POWER OF ATTORNEY

     Know all by these presents, that the undersigned hereby constitutes and
appoints each of Brian Black, FreightCar America, Inc.'s (the "Company's")
General Counsel and Christopher J. Eppel, the Company's Vice President Finance,
Chief Financial Officer, Treasurer and Corporate Secretary, or any successor of
each filling such similar role, as may be appointed from time to time, signing
singly, the undersigned's true and lawful attorney-in-fact to:

     1.     Execute for and on behalf of the undersigned, in the undersigned's
            capacity as an officer and/or director of the Company, Forms 3, 4
            and 5 in accordance with Section 16(a) of the Securities Exchange
            Act of 1934 and the rules and regulations promulgated thereunder;

     2.     Do and perform any and all acts for and on behalf of the undersigned
            which may be necessary or desirable to complete and execute any such
            Form 3, 4 or 5, complete and execute any amendment or amendments
            thereto and timely file such form with the United States Securities
            and Exchange Commission and any national quotation system, national
            securities exchange, stock exchange or similar authority; and

     3.     Take any other action of any type whatsoever in connection with the
            foregoing which, in the opinion of such attorney-in-fact, may be of
            benefit to, in the best interest of or legally required by the
            undersigned, it being understood that the documents executed by such
            attorney-in-fact on behalf of the undersigned pursuant to this Power
            of Attorney shall be in such form and shall contain such terms and
            conditions as such attorney-in-fact may approve in such
            attorney-in-fact's discretion.

     The undersigned hereby grants to each such attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever requisite,
necessary or proper to be done in the exercise of any of the rights and powers
herein granted, as fully to all intents and purposes as the undersigned might or
could do if personally present, with full power of substitution or revocation,
hereby ratifying and confirming all that such attorney-in-fact, or such
attorney-in-fact's substitute or substitutes, shall lawfully do or cause to be
done by virtue of this Power of Attorney and the rights and powers herein
granted.  The undersigned acknowledges that the foregoing attorneys-in-fact, in
serving in such capacity at the request of the undersigned, are not assuming,
nor is the Company assuming, any of the undersigned's responsibilities to comply
with Section 16 of the Securities Exchange Act of 1934.

     This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4 and 5 with respect to the
undersigned's holdings of and transactions in securities issued by the Company,
unless earlier revoked by the undersigned in a signed writing delivered to the
foregoing attorneys-in-fact.

     IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of this 30th day of November, 2020.

                                     By: /s/ James R. Meyer
                                         -----------------------------------
                                         James R. Meyer