Document:

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                                                                   EXHIBIT 10.13

                                AMENDMENT TO THE
                      QUANEX CORPORATION 1987 NON-EMPLOYEE
                           DIRECTOR STOCK OPTION PLAN

         THIS AGREEMENT by Quanex Corporation (the "Company"),

                              W I T N E S S E T H:

         WHEREAS, the Board of Directors of the Company previously adopted the
plan agreement known as the "Quanex Corporation 1987 Non-Employee Director Stock
Option Plan" (the "Plan"); and

         WHEREAS, the Board of Directors of the Company retained the right to
amend the Plan from time to time; and

         WHEREAS, the Board of Directors of the Company has approved the
following amendment to the Plan;

         NOW, THEREFORE, the Board of Directors of the Company agrees that
Section 8 of the Plan is completely amended to provide as follows:

                  8. TRANSFERABILITY OF OPTIONS. Except as expressly provided
         otherwise in an Optionee's Agreement, an Option shall not be
         transferable by the Optionee otherwise than by will or under the laws
         of descent and distribution, and shall be exercisable, during the
         Optionee's lifetime, only by him.<PAGE>   1
                                                                   EXHIBIT 10.14

                                  AMENDMENT TO
                             THE QUANEX CORPORATION
                  1987 NON-EMPLOYEE DIRECTOR STOCK OPTION PLAN

         THIS AGREEMENT by Quanex Corporation (the "Company"),

                              W I T N E S S E T H:

         WHEREAS, the Board of Directors of the Company previously adopted the
plan agreement known as the "Quanex Corporation 1987 Non-Employee Director Stock
Option Plan" (the "Plan"); and

         WHEREAS, the Board of Directors of the Company retained the right in
Paragraph 13 of the Plan to amend the Plan from time to time; and

         WHEREAS, the Board of Directors of the Company has approved the
following amendment to the Plan;

         NOW, THEREFORE, effective January 1, 2000, the Board of Directors of
the Company agrees that Paragraph 9 of the Plan is hereby amended, effective
with respect to all Options issued in the future under this Plan, as follows:

                  9. TERMINATION OR DEATH OF OPTIONEE. Except as may be
         otherwise expressly provided herein all Options shall terminate on the
         earlier of the date of the expiration of the Option or the date that is
         three months after the optionee ceases to be a member of the Company's
         Board of Directors, for any reason other than the death, permanent
         disability or, retirement of the optionee, during which period the
         optionee shall be entitled to exercise the Option in respect of the
         number of shares that the optionee would have been entitled to purchase
         had the optionee exercised the Option on the date the optionee ceased
         to be a member of the Company's Board of Directors.

                  In the event the optionee ceases to be a member of the
         Company's Board of Directors because of his death, permanent disability
         or retirement from the Board of Directors of the Company, before the
         date of expiration of his Option, such Option shall continue fully in
         effect, including provisions providing for subsequent vesting of such
         Option, for a period of not longer than three years commencing on the
         date of his retirement, and shall terminate on the earlier of the date
         of the expiration of

<PAGE>   2

         such three-year period or the date of expiration of the Option
         notwithstanding any provision to the contrary in the optionee's Option
         Agreement. After the death of the optionee, his executors,
         administrators or any person or persons to whom his Option may be
         transferred by will or by the laws of descent and distribution, shall
         have the right, at any time prior to the termination of the Option to
         exercise the Option, in respect to the number of shares that the
         optionee would have been entitled to exercise if he were still alive.

                  In any event, an Option shall terminate on the tenth
         anniversary of the date of grant of such Option.

                  For purposes of this Paragraph 9, an Optionee will be treated
         as having retired from the Company's Board of Directors if the Optionee
         shall, at the time the Optionee ceases to be a member of the Board of
         Directors of the Company, have served at least two full three-year
         terms of office as a director of the Company or six years of service as
         a director of the Company.

Dated: December 9, 1999.

                                       -2-<PAGE>   1
                                                                   EXHIBIT 10.16

                                AMENDMENT TO THE
                      QUANEX CORPORATION 1989 NON-EMPLOYEE
                           DIRECTOR STOCK OPTION PLAN

         THIS AGREEMENT by Quanex Corporation (the "Company"),

                              W I T N E S S E T H:

         WHEREAS, the Board of Directors of the Company previously adopted the
plan agreement known as the "Quanex Corporation 1989 Non-Employee Director Stock
Option Plan" (the "Plan"); and

         WHEREAS, the Board of Directors of the Company retained the right to
amend the Plan from time to time; and

         WHEREAS, the Board of Directors of the Company has approved the
following amendment to the Plan;

         NOW, THEREFORE, the Board of Directors of the Company agrees that
Section 8 of the Plan is completely amended to provide as follows:

                  8. TRANSFERABILITY OF OPTIONS. Except as expressly provided
         otherwise in an Optionee's Option Agreement, an Option shall not be
         transferable by the Optionee otherwise than by will or under the laws
         of descent and distribution, and shall be exercisable, during the
         Optionee's lifetime, only by him.<PAGE>   1
                                                                   EXHIBIT 10.17

                                  AMENDMENT TO
                             THE QUANEX CORPORATION
                  1989 NON-EMPLOYEE DIRECTOR STOCK OPTION PLAN

         THIS AGREEMENT by Quanex Corporation (the "Company"),

                              W I T N E S S E T H:

         WHEREAS, the Board of Directors of the Company previously adopted the
plan agreement known as the "Quanex Corporation 1989 Non-Employee Director Stock
Option Plan" (the "Plan"); and

         WHEREAS, the Board of Directors of the Company retained the right in
Section 13 of the Plan to amend the Plan from time to time; and

         WHEREAS, the Board of Directors of the Company has approved the
following amendment to the Plan;

         NOW, THEREFORE, effective January 1, 2000, the Board of Directors of
the Company agrees that Paragraph 9 of the Plan is hereby amended, effective
with respect to all Options issued in the future under this Plan, as follows:

                  9. TERMINATION OR DEATH OF OPTIONEE. Except as may be
         otherwise expressly provided herein all Options shall terminate on the
         earlier of the date of the expiration of the Option or the date that is
         three months after the optionee ceases to be a member of the Company's
         Board of Directors, for any reason other than the death, permanent
         disability or, retirement of the optionee, during which period the
         optionee shall be entitled to exercise the Option in respect of the
         number of shares that the optionee would have been entitled to purchase
         had the optionee exercised the Option on the date the optionee ceased
         to be a member of the Company's Board of Directors.

                  In the event the optionee ceases to be a member of the
         Company's Board of Directors because of his death, permanent disability
         or retirement from the Board of Directors of the Company, before the
         date of expiration of his Option, such Option shall continue fully in
         effect, including provisions providing for subsequent vesting of such
         Option, for a period of not longer than three years after the date of
         his death, permanent disability or retirement from the Board of
         Directors of the Company and
<PAGE>   2

         shall terminate on the earlier of the date of the expiration of such
         three-year period or the date of the expiration of the Option
         notwithstanding any provision to the contrary in the optionee's Option
         Agreement. After the death of the optionee, his executors,
         administrators or any person or persons to whom his Option may be
         transferred by will or by the laws of descent and distribution, shall
         have the right, at any time prior to the termination of the Option to
         exercise the Option, in respect to the number of shares that the
         optionee would have been entitled to exercise if he were still alive.

                  In any event, an Option shall terminate on the tenth
         anniversary of the date of grant of such Option.

                  For purposes of this Paragraph 9, an Optionee will be treated
         as having retired from the Company's Board of Directors if the Optionee
         shall, at the time the Optionee ceases to be a member of the Board of
         Directors of the Company, have served at least two full three-year
         terms of office as a director of the Company or six years of service as
         a director of the Company.

Dated: December 9, 1999.

                                       -2-<PAGE>   1
                                                                   EXHIBIT 10.19

                                AMENDMENT TO THE
                           QUANEX CORPORATION EMPLOYEE
                     STOCK OPTION AND RESTRICTED STOCK PLAN

         THIS AGREEMENT by Quanex Corporation (the "Company"),

                              W I T N E S S E T H:

         WHEREAS, the Board of Directors of the Company previously adopted the
plan agreement known as the "Quanex Corporation Employee Stock Option and
Restricted Stock Plan" (the "Plan"); and

         WHEREAS, the Board of Directors of the Company retained the right to
amend the Plan from time to time; and

         WHEREAS, the Board of Directors of the Company has approved the
following amendment to the Plan;

         NOW, THEREFORE, the Board of Directors of the Company agrees that
paragraph G of Section 7 of the Plan is completely amended to provide as
follows:

                  G. TRANSFERABILITY OF OPTIONS. Except as expressly provided
         otherwise in an Optionee's Agreement with respect to a Non-Incentive
         Stock Option, an Option shall not be transferable by the Optionee
         otherwise than by will or under the laws of descent and distribution,
         and shall be exercisable, during the Optionee's lifetime, only by him.

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