재료역학7판07-01 Chap

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재료역학7판07-01 Chap에 대한 보고서 자료입니다.

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Problem 7.2-10 Solve the preceding problem if the normal
and shear stresses acting on the element are
x  2100 kPa,

y  300 kPa, and xy560 kPa, and the seam is oriented
at an angle of 22.5° to the element (see figure).
Solution 7.2-10 Plane stress (angle )
430 CHAPTER 7 Analysis of Stress and Strain
y
O x
560 kPa
300 kPa
2100 kPa
Seam
22.5°

x
2100 kPa
y
300 kPa xy
560 kPa

22.5
O x
1030 kPa

22.5
1440 kPa
960 kPa
y

1440 kPa

1030 kPa
The normal stress on the seam equals 1440 kPa
tension.
The shear stress on the seam equals 1030 kPa, acting
clockwise against the seam.
sy1
sxsysx1
960 kPa
tx1y1

sxsy
2 sin 2utxy cos 2u
sx1

sxsy
2

sxsy
2 cos 2utxy sin 2u
Problem 7.2-11 A rectangular plate of dimensions 3.0 in.  5.0 in. is
formed by welding two triangular plates (see figure). The plate is subjected
to a tensile stress of 500 psi in the long direction and a compressive stress of
350 psi in the short direction.
Determine the normal stress
w acting perpendicular to the line of the
weld and the shear stress w acting parallel to the weld. (Assume that the
normal stress
w is positive when it acts in tension against the weld and the
shear stress w is positive when it acts counterclockwise against the weld.)
Solution 7.2-11 Biaxial stress (welded joint)
350 psi
Weld
3 in. 500 psi
5 in.

x
500 psi
y
350 psi xy
0
u
arctan
3 in.
5 in.

arctan 0.6
30.96
O x
375 psi

30.96
275 psi
125 psi
y
STRESSES ACTING ON THE WELD

w
125 psi
w
375 psi
sy1
sxsysx1
125 psi
tx1y1

sxsy
2 sin 2utxy cos 2u
375 psi

275 psi
sx1

sxsy
2

sxsy
2 cos 2utxy sin 2u
w


w
375 psi 
30.96

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재료,   역학,   재료역학,   재료역학7판07-01 Chap