1.6 (A) An l-seetion girder is constructed from two 80 mm x 12 mm flanges joined by an 80 mm x 12 mm web. Four such girders are mounted vertically one at each corner of a horizontal platform which the girders support. The platform is 4 mabove ground level and weighs 10KN. Assuming that cach girder supports an equal share of the load, determine the maximum compressive stress set up in the material of each girder when the platform supports an additional load of 15KN The weight of the girders may not be neglected The density of the cast iron from which the girders are constructed is 7470 kg/m. [2.46 MN/m]

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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1.6 (A) An l-seetion girder is constructed from two 80 mm x 12 mm flanges joined by an 80 mm x 12 mm web.
Four such girders are mounted vertically one at each corner of a horizontal platform which the girders support. The
platform is 4 m above ground level and weighs 10KN. Assuming that each girder supports an equal share of the load,
determine the maximum compressive stress set up in the material of each girder when the platform supports an
additional load of 15KN. The weight of the girders may notr be neglected. The density of the cast iron from which the
girders are constructed is 7470 kg/m'.
1.7 (A). A bar ABCD consists of three sections: ABis 25 mm square and S0 mm long, BC is of 20 mm diameter and
40 mm long and CDis of 12 mm diameter and 50 mm long. Determine the stress set up in cach section of the bar when
it is subjected to an axial tensile load of 20KN. What will be the total extension of the bar under this load? For the bar
material, E - 210GN/m.
[2.46 MN/m]
[32, 63.7, 176.8 MN/m, 0.062 mm.]
1.8 (A). A steel bar ABCD consists of three sections: AB is of 20 mm diameter and 200 mm long. BC is 25 mm
square and 400 mm long, and CD is of 12 mm diameter and 200 mm long. 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.
[0.272 mm.)
1.9 (A) During a tensile test on a specimen the following results were obtained:
Load (kN)
Extension (mm)
15
40
0.127
30
50
55
60
65
0.05
0.094
0.157
1.778
2.79
3.81
Load (kN)
Extension (mm)
70
75
80
82
80
70
5.08
7.62
12.7
16.0
19.05
229
Diameter of gauge length = 19 mm
Diameter at fracture
Gauge length - 100 mm
Gauge length at fracture = 121 mm
- 16.49 mm
Plot the complete load extension graph and the straight line portion to an enlarged scale. Hence determine:
(a) the modulus of elasticity,
(b) the percentage elongation;
(c) the percentage reduction in area;
(d) the nominal stress at fracture;
(e) the actual stress at fracture,
(f) the tensile strength.
(116 GN/m', 21%: 24.7%: 247 MN/m'; 328 MN/m?; 289 MN /m*]
1.10 Figure 1.24 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.
ja) Using the data given in Fig. 1.24 calculate:
(6) the diameter D of the shank if the shear stress is not to exceed SON/mm',
(ii) the stress due to bending in the tommy-bar,
(iii) the shear stress in the pins.
(b) Why is the tommy-bar a preferred method of applying the torque?
[CG] [9.14 mm; 254.6 MN/m?; 398 MN/m 1
Transcribed Image Text:1.6 (A) An l-seetion girder is constructed from two 80 mm x 12 mm flanges joined by an 80 mm x 12 mm web. Four such girders are mounted vertically one at each corner of a horizontal platform which the girders support. The platform is 4 m above ground level and weighs 10KN. Assuming that each girder supports an equal share of the load, determine the maximum compressive stress set up in the material of each girder when the platform supports an additional load of 15KN. The weight of the girders may notr be neglected. The density of the cast iron from which the girders are constructed is 7470 kg/m'. 1.7 (A). A bar ABCD consists of three sections: ABis 25 mm square and S0 mm long, BC is of 20 mm diameter and 40 mm long and CDis of 12 mm diameter and 50 mm long. Determine the stress set up in cach section of the bar when it is subjected to an axial tensile load of 20KN. What will be the total extension of the bar under this load? For the bar material, E - 210GN/m. [2.46 MN/m] [32, 63.7, 176.8 MN/m, 0.062 mm.] 1.8 (A). A steel bar ABCD consists of three sections: AB is of 20 mm diameter and 200 mm long. BC is 25 mm square and 400 mm long, and CD is of 12 mm diameter and 200 mm long. 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. [0.272 mm.) 1.9 (A) During a tensile test on a specimen the following results were obtained: Load (kN) Extension (mm) 15 40 0.127 30 50 55 60 65 0.05 0.094 0.157 1.778 2.79 3.81 Load (kN) Extension (mm) 70 75 80 82 80 70 5.08 7.62 12.7 16.0 19.05 229 Diameter of gauge length = 19 mm Diameter at fracture Gauge length - 100 mm Gauge length at fracture = 121 mm - 16.49 mm Plot the complete load extension graph and the straight line portion to an enlarged scale. Hence determine: (a) the modulus of elasticity, (b) the percentage elongation; (c) the percentage reduction in area; (d) the nominal stress at fracture; (e) the actual stress at fracture, (f) the tensile strength. (116 GN/m', 21%: 24.7%: 247 MN/m'; 328 MN/m?; 289 MN /m*] 1.10 Figure 1.24 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. ja) Using the data given in Fig. 1.24 calculate: (6) the diameter D of the shank if the shear stress is not to exceed SON/mm', (ii) the stress due to bending in the tommy-bar, (iii) the shear stress in the pins. (b) Why is the tommy-bar a preferred method of applying the torque? [CG] [9.14 mm; 254.6 MN/m?; 398 MN/m 1
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