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E-Mail Address ceadhvtsu@gma1l.com
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QUIZno2-M
Mechanics of Deformable Bodies
Name:
BSCE l _
-------------------
Score: __________
Date: __________
Instructions:
1.Show your complete and camprehan•ive solution.
2. I nclude all relevant illustrations and drawings whenever possible.
3. Use 3 decimal places on a l l values including final answers.
4. Box your final answers.
Content:
l.You are in charge of designing a new fixture fo r a ~universal testing machinen tha t
will attach a tensile specimen to t he machine using a clevis - a U-shaped piece with
holes drilled through the two arms -
and a cylindrical pin tha t
passes through the
clevis and the specimen. If the maximum l oad exerted by the machine is 40 lcN and t he
p i n is to be made of some sort of steel , what is the minimum pin diame ter needed to
ensure tha t the shear stress in the pin does not exceed 600 MPa? Assume that t he
steel has similar elastic properties to pure Fe .
2. The d ; 15-mm-diarneter solid rod shown in Figure 1 passes through a D - 20-mm-diame ter
hole in the support plate. When a load Pis applied to the rod, the rod head res ts on
the support p lat e. The support plate has a t hickness of b = 12 mm. The rod head has a
diameter of a - 30 mm and the head has a thi ckness oft - 10 mm. If the normal stress
produced in the rod by load Pis 32000 Psi, determine:
(a) th e bearing stress acting between the support plate and the rod head ,
(b) the a v erage shear stress produced in the rod head.
{c ) the punching s hear stress produced in the support plate by the r od head
3. The steel pipe column shown in Figure 2 has an outside diameter of 8. 625 in. and a
wall thickness of 0 . 25 in . The timber beam is 10.7S in wide , and the uppe r plat e has
the same width. The load imposed on the column by the timber beam i s 356 kN.
Determine the
(a) Av erage bearing s tress at the surfaces between the pipe column and the u pper and
lower steel bea ring plates . (Imperial Units)
(b) Length L of the r ectangular upper bearing plate if i ts width is 10 . 75 i n. and t he
average bearing s tress between the steel plate and the wood beam is not to exceed 500
psi . {Imperial Uni ts)
(c) Dimension "a" of the square lower beari ng plate if the average bearing stress
between the lower bearing plate and t he concrete slab is not to e xceed 900 psi.
(Imperi al Units)
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