7.1 (A/B). A uniform I-section beam has flanges 150 mm wide by 8 mm thick and a web 180 mm wide and 8 mm thick. At a certain section there is a shearing force of 120 kN. Draw a diagram to illustrate the distribution of shear stress across the section as a result of bending. What is the maximum shear stress? [86.7 MN/m?.]

Elements Of Electromagnetics
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7.1 (A/B). A uniform I-section beam has flanges 150 mm wide by 8 mm thick and a web 180 mm wide and 8 mm
thick. At a certain section there is a shearing force of 120 kN. Draw a diagram to illustrate the distribution of shear
stress across the section as a result of bending. What is the maximum shear stress?
[86.7 MN/m².]
7.2 (A/B). A girder has a uniform T cross-section with flange 250 mm x 50 mm and web 220 mm x 50 mm. At a
certain section of the girder there is a shear force of 360 kN.
Plot neatly to scale the shear-stress distribution across the section, stating the values:
(a) where the web and the flange of the section meet;
(b) at the neutral axis.
[B.P.] [7.47, 37.4, 39.6 MN/m².]
7.3 (A/B). A beam having an inverted T cross-section has an overall width of 150 mm and overall depth of
200 mm. The thickness of the crosspiece is 50 mm and of the vertical web 25 mm. At a certain section along the beam
the vertical shear force is found to be 120 kN. Draw neatly to scale, using 20mm spacing except where closer intervals
are required, a shear-stress distribution diagram across this section. If the mean stress is calculated over the whole of
the cross-sectional area, determine the ratio of the maximum shear stress to the mean shear stress.
[B.P.] [3.37.]
7.4 (A/B). The channel section shown in Fig. 7.17 is simply supported over a span of 5 m and carries a uniformly
distributed load of 15KN/m run over its whole length. Sketch the shearing-stress distribution diagram at the point of
maximum shearing force and mark important values. Determine the ratio of the maximum shearing stress to the
average shearing stress.
[B.P.] [3, 9.2, 9.3 MN/m²; 2.42.]
30 mm
30 mm
125 mm
100 mm
30 mm
Fig. 7.17.
Transcribed Image Text:7.1 (A/B). A uniform I-section beam has flanges 150 mm wide by 8 mm thick and a web 180 mm wide and 8 mm thick. At a certain section there is a shearing force of 120 kN. Draw a diagram to illustrate the distribution of shear stress across the section as a result of bending. What is the maximum shear stress? [86.7 MN/m².] 7.2 (A/B). A girder has a uniform T cross-section with flange 250 mm x 50 mm and web 220 mm x 50 mm. At a certain section of the girder there is a shear force of 360 kN. Plot neatly to scale the shear-stress distribution across the section, stating the values: (a) where the web and the flange of the section meet; (b) at the neutral axis. [B.P.] [7.47, 37.4, 39.6 MN/m².] 7.3 (A/B). A beam having an inverted T cross-section has an overall width of 150 mm and overall depth of 200 mm. The thickness of the crosspiece is 50 mm and of the vertical web 25 mm. At a certain section along the beam the vertical shear force is found to be 120 kN. Draw neatly to scale, using 20mm spacing except where closer intervals are required, a shear-stress distribution diagram across this section. If the mean stress is calculated over the whole of the cross-sectional area, determine the ratio of the maximum shear stress to the mean shear stress. [B.P.] [3.37.] 7.4 (A/B). The channel section shown in Fig. 7.17 is simply supported over a span of 5 m and carries a uniformly distributed load of 15KN/m run over its whole length. Sketch the shearing-stress distribution diagram at the point of maximum shearing force and mark important values. Determine the ratio of the maximum shearing stress to the average shearing stress. [B.P.] [3, 9.2, 9.3 MN/m²; 2.42.] 30 mm 30 mm 125 mm 100 mm 30 mm Fig. 7.17.
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