Question

(16 points) Difficulty (4/5)

A mechanical connection known as a clevis and pin is shown. The dimensions of the assembly are given as:

a = 30 mm
b = 33 mm
c = 10 mm
d = 18 mm
t = 22 mm
W = 45 mm
L = 113 mm

In order to avoid failure in the materials used to create the parts:

-The normal stress in the pin must be limited to 680 MPa.
-The shearing stress in the pin must be limited to 272 MPa.
-The normal stress in the tongue must be limited to 415 MPa.
-The shearing stress in the tongue must be limited to 249 MPa.
-The normal stress in the clevis must be limited to 927 MPa.
-The shearing stress in the clevis must be limited to 370 MPa.

Find the maximum force FF that can be applied if:

(a) the assembly fails due to the pin shearing
(b) the assembly fails due to tearout of the tongue
(c) the assembly fails due to tearout of the clevis
(d) the assembly fails due to tensile failure of the tongue
(e) the assembly fails due to tensile failure of the clevis
(f) the assembly fails due to the average bearing stress between the tongue and the pin
(g) the assembly fails due to the average bearing stress between the clevis and the pin
(h) all of these modes of failure are considered.

2013 Michael Swanbom BY NC SA a PIN C CLEVIS TONGUE M LV

(a) Fpin−shearFpin−shear =

(b) Ftongue−tearoutFtongue−tearout =

(c) Fclevis−tearoutFclevis−tearout =

(d) Ftongue−tensileFtongue−tensile =

(e) Fclevis−tensileFclevis−tensile =

(f) Ftongue−pin−bearingFtongue−pin−bearing =

(g) Fclevis−pin−bearingFclevis−pin−bearing =

(h) Foverall−allowableFoverall−allowable =

be sure to include units with your answers

neglect stress concentration effects

for parts a-g, assume the assembly doesn't fail in another mode first

assume all parts fit together with minimal clearances

Answer 1

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