Civil Engineering Reference
In-Depth Information
1.3
A tensile load of 220 kN is applied to a round metal bar with a di-
ameter of 16 mm and a gage length of 50 mm. Under this load the
bar elastically deforms so that the gage length increases to 50.1686
mm and the diameter decreases to 15.9875 mm. Determine the mod-
ulus of elasticity and Poisson's ratio for this metal.
1.4
A cylinder with a 6.0 in. diameter and 12.0 in. length is put under a
compressive load of 138.4 kips. The modulus of elasticity for this
specimen is 6500 ksi and Poisson's ratio is 0.4. Calculate the final
length and the final diameter of this specimen under this load.
1.5
A rectangular block of aluminum is
placed in a pressure chamber and subjected to a pressure of 100
MPa. If the modulus of elasticity is 70 GPa and Poisson's ratio is
0.333, what will be the decrease in the longest side of the block, as-
suming that the material remains within the elastic region? What
will be the decrease in the volume of the block?
30 mm
*
60 mm
*
90 mm
1.6
A material has a stress-strain relationship that can be approximated
by the equation
10
-16
* s
3
e =
0.3
*
where the stress is in psi. Find the secant modulus and the tangent
modulus for the stress level of 50,000 psi.
1.7
On a graph, show the stress-strain relationship under loading and
unloading for the following two materials:
a. nonlinear elastic material
b. elastoplastic material with strain hardening
1.8
The rectangular block shown in Figure P1.8 is subjected to tension
within the elastic range. The increase in the length of
a
is
and the contraction of
b
is If the original lengths of
a
and
b
were 2 in. and 1 in., respectively, what is Poisson's ratio for
the material of the specimen?
10
-3
in.
2
*
10
-4
in.
3.25
*
b
a
FIGURE P1.8
1.9
A cylindrical rod with a length of 380 mm and a diameter of 10 mm
is to be subjected to a tensile load. The rod must not experience plas-
tic deformation or an increase in length of more than 0.9 mm when a
load of 24.5 kN is applied. Which of the four materials listed in the
accompanying table are possible candidates? Justify your answer.
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