1. (A). 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 = 200 GN/m. 180 MN/m:0.12mml

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.5.7P: A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0,5 in, is subjected...
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Problems sheet O
1. (A). 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
kad is applied. For the bar material E = 200 GNm.
180 MN/m:0.12mm]
2. (A). A steel tube, 25 mm outside diameter and 12mm inside diameter, cames 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? 106 MNAm: 45 kNJ
3. (A). Define the terms shear stress and shear strain, illustrating your answer by means
of a simple sketch. Two circular bars, one of brass and the other of steel, are to be
loaded by a shear load of 30 kN. Determine the necessary diameter of the bars (a) in
single shear, (b) in double shear, if the shear stress in the two materials must not
exceed 50 MN/m' and 100 MN/m respectively.
127.6. 19.5, 19.5, 13.8mm)
4. (A). Two forkend pieces are to be joined together by a single steel pin of 25mm
diameter and they are required to transmit 50 kN. Determine the minimum cross-
sectional area of material required in one branch of either fork if the stress in the fork
material is not to exceed 180 MN/m. What will be the maximum shear stress in the
pin?
[1.39 x 10*m: 50.9MN/m1
5. (A). A simple turnbuckle arrangement is constructed from a 40 mm outside diameter
tube threaded internally at each end to take two rods of 25 mm outside diameter with
threaded ends. What will be the nominal stresses set up in the tube and the rods,
ignoring thread depth, when the turnbuckle cames an axial load of 30 kN? Assuming
a sufficient strength of thread, what maximum load can be transmitted by the
turnbuckle if the maximum stress is limited to 180 MN/m'?
139.2.61.I MNm2. 88.4 kNI
6. (A). A bar ABCD consists of three sections: AB is 25 mm square and 50 mm long, BC
is of 20 mm diameter and40 mm long and CD is of 12 mm diameter and 50 mm long.
Detemine the stress set up in each section of the bar when it is subjected to an axial
tensile load of 20 kN. What will be the total extension of the bar under this koad? For
the bar material, E = 210GN/m.
132.63.7, 176.8 MNm, 0.062mm)
7.(A). A steel bar ABCD consists of three sections: AB is of 20mm diameter and 200
mm long. BC is 25 mm square and 400 mm long, and CD is of 12 mm diameter and
200mm kong. The bar is subjected to an axial compressive load which induces a stress
of 30 MN/m on the largest cross-section. Determine the total decrease in the length of
the bar when the load is applied. For steel E = 210GN/m.
10.272 mm.
8. Figure (19) shows a special spanner used to tighten screwed components. A torque is
applied at the tommy -bar and is transmitted to the pins which engage into holes
located into the end of a screwed component.
(a) Using the data given in Figure (19) cakulate:
(i) the diameter D of the shank if the shear stress is not to exce
(ii) the stress due to bending in the tommy-bar,
(iii) the shear stress in the pins.
19.14mm: 254.6 MN/m: 39.8 MN/m]
SON force ccee et e dtance
of 2mm em be en of
tommy
Figure (19)
9-A punch for making holes in steel plates is shown in Figure (la). Assume that a
punch having diameter d =20 mm is used to punch a hole in an 8-mm plate, as
shown in the cross-sectional view Figure (Ib). If a force P= 110 kN is required to
create the hole, what is the average shear stress in the plate and the average
compressive stress in the punch?
1P-110KN
4-20 mm
t-8.0 men
(b)
Figure (1)
Transcribed Image Text:Problems sheet O 1. (A). 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 kad is applied. For the bar material E = 200 GNm. 180 MN/m:0.12mm] 2. (A). A steel tube, 25 mm outside diameter and 12mm inside diameter, cames 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? 106 MNAm: 45 kNJ 3. (A). Define the terms shear stress and shear strain, illustrating your answer by means of a simple sketch. Two circular bars, one of brass and the other of steel, are to be loaded by a shear load of 30 kN. Determine the necessary diameter of the bars (a) in single shear, (b) in double shear, if the shear stress in the two materials must not exceed 50 MN/m' and 100 MN/m respectively. 127.6. 19.5, 19.5, 13.8mm) 4. (A). Two forkend pieces are to be joined together by a single steel pin of 25mm diameter and they are required to transmit 50 kN. Determine the minimum cross- sectional area of material required in one branch of either fork if the stress in the fork material is not to exceed 180 MN/m. What will be the maximum shear stress in the pin? [1.39 x 10*m: 50.9MN/m1 5. (A). A simple turnbuckle arrangement is constructed from a 40 mm outside diameter tube threaded internally at each end to take two rods of 25 mm outside diameter with threaded ends. What will be the nominal stresses set up in the tube and the rods, ignoring thread depth, when the turnbuckle cames an axial load of 30 kN? Assuming a sufficient strength of thread, what maximum load can be transmitted by the turnbuckle if the maximum stress is limited to 180 MN/m'? 139.2.61.I MNm2. 88.4 kNI 6. (A). A bar ABCD consists of three sections: AB is 25 mm square and 50 mm long, BC is of 20 mm diameter and40 mm long and CD is of 12 mm diameter and 50 mm long. Detemine the stress set up in each section of the bar when it is subjected to an axial tensile load of 20 kN. What will be the total extension of the bar under this koad? For the bar material, E = 210GN/m. 132.63.7, 176.8 MNm, 0.062mm) 7.(A). A steel bar ABCD consists of three sections: AB is of 20mm diameter and 200 mm long. BC is 25 mm square and 400 mm long, and CD is of 12 mm diameter and 200mm kong. The bar is subjected to an axial compressive load which induces a stress of 30 MN/m on the largest cross-section. Determine the total decrease in the length of the bar when the load is applied. For steel E = 210GN/m. 10.272 mm. 8. Figure (19) shows a special spanner used to tighten screwed components. A torque is applied at the tommy -bar and is transmitted to the pins which engage into holes located into the end of a screwed component. (a) Using the data given in Figure (19) cakulate: (i) the diameter D of the shank if the shear stress is not to exce (ii) the stress due to bending in the tommy-bar, (iii) the shear stress in the pins. 19.14mm: 254.6 MN/m: 39.8 MN/m] SON force ccee et e dtance of 2mm em be en of tommy Figure (19) 9-A punch for making holes in steel plates is shown in Figure (la). Assume that a punch having diameter d =20 mm is used to punch a hole in an 8-mm plate, as shown in the cross-sectional view Figure (Ib). If a force P= 110 kN is required to create the hole, what is the average shear stress in the plate and the average compressive stress in the punch? 1P-110KN 4-20 mm t-8.0 men (b) Figure (1)
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