2. The 4-mm-diameter cable BC is made of a steel with E = 200 GPa. Knowing that the maximun stress in the cable must not exceed 190 MPa and that the elongation of the cable must not exce 6 mm, find the maximum load P that can be applied as shown.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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ning the sultant internal normal force, shearte
lllall
point Cin the
monent
88
10 KN/m
Q4 594719977692673...
->
-3 m
2. The 4-mm-diameter cable BC is made of a steel with E = 200 GPa. Knowing that the maximum
stress in the cable must not exceed 190 MPa and that the elongation of the cable must not exceed
6 mm, find the maximum load P that can be applied as shown.
25 m
P.
3.5 m
4.0 m-
3. A 25mm square cross-section bar of length 300mm carries an axial compressive load of 50KN.
Determine the stress set up in the bar and its change of length when the load is applied. For the
bar material E = 200GN/m
4. A steel tube, 25 mm outside diameter and 12mm inside diameter, carries an axial tensile load of
40 kN. What will be the stress in the bar? What further increase in load is possible if the stress in
the bar is limited to 225 MN/m??
5. A two-story column ABC in a building is constructed with a hollow, square box section (see
figure). The outside dimensions are 200 mm x 200 mm, and the wall thickness is 15 mm. The
roof load applied at the top of the column is P, = 312 kN and the floor load applied at midweight
is P2= 445 kN. Obtain the compressive stresses oah and opc in the two parts of the column due to
these loads.
15 mm
15 mm-
200m
-200 mm
200 mm
Section X
6.
The steel shaft of a socket wrench is 12 mm in diameter and 450 mm long (see figure). If the
allowable stress in shear is 76 MPa, what is the maximum permissible torque T that may be
exerted with the wrench? Through what angle Ø will the shaft twist under the action of the
maximum torque? (Assume G = 81 GPa and disregard any bending of the shaft.)
12 mm
450 mm-
7. A hollow circular tube of metal is subjected to twisting by torques T applied at the ends (see
figure). The bar is 0.5 m long, and the inside and outside diameters are 30 mm and 40 mm,
respectively. It is determined by measurement that the angle of rotation Ø is 3.57° when the
torque T is 600 N m. Calculate the shear modulus of elasticity G for the material.
30 mm
40 mm
-0.5 m-
8. A hollow shaft has outer dumeer y-20 and nner damerer d2= 64 mm (see figure).
:::
Transcribed Image Text:ning the sultant internal normal force, shearte lllall point Cin the monent 88 10 KN/m Q4 594719977692673... -> -3 m 2. The 4-mm-diameter cable BC is made of a steel with E = 200 GPa. Knowing that the maximum stress in the cable must not exceed 190 MPa and that the elongation of the cable must not exceed 6 mm, find the maximum load P that can be applied as shown. 25 m P. 3.5 m 4.0 m- 3. A 25mm square cross-section bar of length 300mm carries an axial compressive load of 50KN. Determine the stress set up in the bar and its change of length when the load is applied. For the bar material E = 200GN/m 4. A steel tube, 25 mm outside diameter and 12mm inside diameter, carries an axial tensile load of 40 kN. What will be the stress in the bar? What further increase in load is possible if the stress in the bar is limited to 225 MN/m?? 5. A two-story column ABC in a building is constructed with a hollow, square box section (see figure). The outside dimensions are 200 mm x 200 mm, and the wall thickness is 15 mm. The roof load applied at the top of the column is P, = 312 kN and the floor load applied at midweight is P2= 445 kN. Obtain the compressive stresses oah and opc in the two parts of the column due to these loads. 15 mm 15 mm- 200m -200 mm 200 mm Section X 6. The steel shaft of a socket wrench is 12 mm in diameter and 450 mm long (see figure). If the allowable stress in shear is 76 MPa, what is the maximum permissible torque T that may be exerted with the wrench? Through what angle Ø will the shaft twist under the action of the maximum torque? (Assume G = 81 GPa and disregard any bending of the shaft.) 12 mm 450 mm- 7. A hollow circular tube of metal is subjected to twisting by torques T applied at the ends (see figure). The bar is 0.5 m long, and the inside and outside diameters are 30 mm and 40 mm, respectively. It is determined by measurement that the angle of rotation Ø is 3.57° when the torque T is 600 N m. Calculate the shear modulus of elasticity G for the material. 30 mm 40 mm -0.5 m- 8. A hollow shaft has outer dumeer y-20 and nner damerer d2= 64 mm (see figure). :::
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