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Unformatted text preview: Sec_2.6.qxd 182 9/25/08 11:40 AM Page 182 CHAPTER 2 Axially Loaded Members Solution 2.6-7 Tension test
(b) MAXIMUM SHEAR STRESS
The maximum shear stress is on a 45° plane and
(2 in. gage length)
Strain: â 0.00120 in.
x E (30 ; 9,000 psi (c) STRESS ELEMENT AT d
L Hooke’s law: sx
2 45° 0.00060
106 psi)(0.00060) 18,000 psi
(a) MAXIMUM NORMAL STRESS
x is the maximum normal stress. max 18,000 psi NOTE: All stresses have units of psi. ; 45∞ Problem 2.6-8 A copper bar with a rectangular cross section is held
without stress between rigid supports (see figure). Subsequently, the
temperature of the bar is raised 50°C.
Determine the stresses on all faces of the elements A and B, and show
these stresses on sketches of the elements.
17.5 10 6/°C and E 120 GPa.)
(Assume A B Solution 2.6-8 Copper bar with rigid supports
MAXIMUM SHEAR STRESS
T 50°C (Increase)
17.5 E sx
2 52.5 MPa STRESSES ON ELEMENTS A AND B 10 6/°C 120 GPa STRESS DUE TO TEMPERATURE INCREASE
x E ( T) (See Eq. 2-18 of Section 2.5) 105 MPa (Compression)
NOTE: All stresses have units of MPa. ...
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