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.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.6.9P: A prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial...
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t=10 mm b=240 mm F.S=1.9 σall=230 MPa

1. 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 Oall and
Factor of safety F.S if P was applied at the middle of the rod (Figure B)?
300 mm
300 mm
a
a
b mm
500 mm
b mm-
500 mm
d
a - a
P
P
Figure B
Figure A
Transcribed Image Text:1. 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 Oall and Factor of safety F.S if P was applied at the middle of the rod (Figure B)? 300 mm 300 mm a a b mm 500 mm b mm- 500 mm d a - a P P Figure B Figure A
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