The vertical force P acts on the bottom of the rod having a negligible weight and a rectangular cross section. The rod has a thickness of t(mm) and Pacts along the center line of this thickness. a) Determine the shortest distance d to the edge of the rod at which it can be (eccentrically) applied so that it produces no compressive stresses on the rod at section a-a (Case in Figure A). b) What would be the maximum value of P for the given allowable stress Gall and Factor of safety F.S if P was applied at the middle of the rod (Figure B)? a b mm- P d 300 mm a 500 mm Figure A a a b a b mm P Figure B 300 mm a 500 mm

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.3.25P: The stresses at a point on the down tube of a bicycle frame are trx= 4800 psi and t = -1950 psi (see...
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t=11 mm b=220 mm F.S=1.8 σall=240 MPa

The vertical force P acts on the bottom of the rod having a negligible weight and a
rectangular cross section. The rod has a thickness of t(mm) and P acts along the center
line of this thickness.
a) Determine the shortest distance d to the edge of the rod at which it can be
(eccentrically) applied so that it produces no compressive stresses on the rod at
section a-a (Case in Figure A).
b) What would be the maximum value of P for the given allowable stress all and
Factor of safety F.S if P was applied at the middle of the rod (Figure B)?
a
b mm-
P
d
300 mm
a
500 mm
Figure A
Il
a - a
b
a
b mm
P
Figure B
300 mm
a
500 mm
Transcribed Image Text:The vertical force P acts on the bottom of the rod having a negligible weight and a rectangular cross section. The rod has a thickness of t(mm) and P acts along the center line of this thickness. a) Determine the shortest distance d to the edge of the rod at which it can be (eccentrically) applied so that it produces no compressive stresses on the rod at section a-a (Case in Figure A). b) What would be the maximum value of P for the given allowable stress all and Factor of safety F.S if P was applied at the middle of the rod (Figure B)? a b mm- P d 300 mm a 500 mm Figure A Il a - a b a b mm P Figure B 300 mm a 500 mm
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