From: Design of Axially Graded Columns Under a Central Force Date of download: 12/18/2017 Copyright © ASME. All rights reserved. From: Design of Axially Graded Columns Under a Central Force J. Appl. Mech. 2013;81(2):021001-021001-6. doi:10.1115/1.4024400 Figure Legend: Elastic cantilever subjected to a central force

From: Design of Axially Graded Columns Under a Central Force Date of download: 12/18/2017 Copyright © ASME. All rights reserved. From: Design of Axially Graded Columns Under a Central Force J. Appl. Mech. 2013;81(2):021001-021001-6. doi:10.1115/1.4024400 Figure Legend: Variation of D(ξ)/|b2| for a clamped-pinned column

From: Design of Axially Graded Columns Under a Central Force Date of download: 12/18/2017 Copyright © ASME. All rights reserved. From: Design of Axially Graded Columns Under a Central Force J. Appl. Mech. 2013;81(2):021001-021001-6. doi:10.1115/1.4024400 Figure Legend: Variation of D(ξ)/|b2| for a column loaded by a central force for different values of αL (-0.9 < αL < -0.3)

From: Design of Axially Graded Columns Under a Central Force Date of download: 12/18/2017 Copyright © ASME. All rights reserved. From: Design of Axially Graded Columns Under a Central Force J. Appl. Mech. 2013;81(2):021001-021001-6. doi:10.1115/1.4024400 Figure Legend: Variation of D(ξ)/|b2| for a column loaded by a central force for values αL=-0.2 and αL=-0.1

From: Design of Axially Graded Columns Under a Central Force Date of download: 12/18/2017 Copyright © ASME. All rights reserved. From: Design of Axially Graded Columns Under a Central Force J. Appl. Mech. 2013;81(2):021001-021001-6. doi:10.1115/1.4024400 Figure Legend: Variation of D(ξ)/|b2| for a simply-supported column at both ends (solution 1)

From: Design of Axially Graded Columns Under a Central Force Date of download: 12/18/2017 Copyright © ASME. All rights reserved. From: Design of Axially Graded Columns Under a Central Force J. Appl. Mech. 2013;81(2):021001-021001-6. doi:10.1115/1.4024400 Figure Legend: Variation D(ξ)/|b2| for a simply-supported column at both ends (a) solution 2, solid line; (b) solution 3, dashed line

From: Design of Axially Graded Columns Under a Central Force Date of download: 12/18/2017 Copyright © ASME. All rights reserved. From: Design of Axially Graded Columns Under a Central Force J. Appl. Mech. 2013;81(2):021001-021001-6. doi:10.1115/1.4024400 Figure Legend: Variation of D(ξ)/|b2| for a column loaded by a central force for different values of αL (-0.1 < αL < 1) (first possible axial grading)

From: Design of Axially Graded Columns Under a Central Force Date of download: 12/18/2017 Copyright © ASME. All rights reserved. From: Design of Axially Graded Columns Under a Central Force J. Appl. Mech. 2013;81(2):021001-021001-6. doi:10.1115/1.4024400 Figure Legend: Variation of D(ξ)/|b2| for a column loaded by a central force for different values of αL (-0.1 < αL < 1) (second possible axial grading)

From: Design of Axially Graded Columns Under a Central Force Date of download: 12/18/2017 Copyright © ASME. All rights reserved. From: Design of Axially Graded Columns Under a Central Force J. Appl. Mech. 2013;81(2):021001-021001-6. doi:10.1115/1.4024400 Figure Legend: Variation of D(ξ)/|b2| for a column loaded by a central force for different values of αL (-0.1 < αL < 1) (third possible axial grading)