재료역학7판07-02 Chap

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재료역학7판07-02 Chap에 대한 보고서 자료입니다.

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Problem 7.3-9 A shear wall in a reinforced concrete building is
subjected to a vertical uniform load of intensity q and a horizontal force
H, as shown in the first part of the figure. (The force H represents the
effects of wind and earthquake loads.) As a consequence of these loads,
the stresses at point A on the surface of the wall have the values shown
in the second part of the figure (compressive stress equal to 1100 psi
and shear stress equal to 480 psi).
(a) Determine the principal stresses and show them on a sketch of
a properly oriented element.
(b) Determine the maximum shear stresses and associated normal
stresses and show them on a sketch of a properly oriented element.
Solution 7.3-9 Shear wall
SECTION 7.3 Principal Stresses and Maximum Shear Stresses 439
1100 psi
480 psi
A
A
q
H

x
0
y
1100 psi xy
480 psi
(a) PRINCIPAL STRESSES
2p
41.11 and p
20.56
2p
138.89 and p
69.44
For 2p
41.11:
For 2p
138.89:
Therefore,
1
180 psi and

2
1280 psi and up2
69.44
up1
20.56
sx1
1280 psi
sx1
180 psi
sx1

sxsy
2

sxsy
2 cos 2utxy sin 2u
tan 2up

2txy
sxsy

0.87273
(b) MAXIMUM SHEAR STRESSES
and 
730 psi
and 
730 psi
saver

sxsy
2

550 psi
us2
up145
24.44
us1
up145
65.56
tmax
B¢
sxsy
2
≤
2
txy
2
730 psi
}
}
O x
p2

69.44
180 psi
1280 psi
y
O x
730 psi
s1

24.44
550 psi
550 psi
y
Problem 7.3-10 A propeller shaft subjected to combined torsion
and axial thrust is designed to resist a shear stress of 63 MPa and
a compressive stress of 90 MPa (see figure).
(a) Determine the principal stresses and show them on a sketch
of a properly oriented element.
(b) Determine the maximum shear stresses and associated normal
stresses and show them on a sketch of a properly oriented element.
90 MPa
63

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재료,   역학,   재료역학,   재료역학7판07-02 Chap