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By Ian McDonagh (Auth.)
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Extra resources for Mechanical Science for Technicians. Volume 1
Sample text
Determine (a) the magnitude and sense of the stress in the plane of the tensile strain, (b) the magnitude and sense of the strain in the direction of the compressive stress. 28. 6 N/mm2 (tensile); 323 x 10 - 4 (compressive)] 14 A short concrete column has a square cross-section of side 400 mm and is reinforced by four steel bars, each 20 mm diameter. 4MN. 88MN/m2] 15 A double-strap butt joint contains a total of twelve rivets, each 5 mm diameter. Calculate the shear stress in each rivet when the joint is subjected to a shearing force of 1 kN.
100mm I 20 mm j It 8 Fig. 28 Idealised I-beam section For an idealised I-beam, 'na. where :. 11m In3L = ^ [ 0 . e. 925 x 10"s m4. 925 x 10"5 m4 and . e. 2 kNm. Example 3 A steel bar, 100 mm diameter, is used to support a pulley block. 2 m, determine the maximum bending stress in the material when the pulley block is at mid-span supporting a load of 20 kN. Fig. 29 Thee problem is shown diagrammatically in fig. 29. fie. 29. the maximum bending bendine moi Referring to fig. moment occurs at mid-span, M = Σ moments to left of mid-span max.
Positive bending causes the beam to 'sag', while negative bending causes the beam to 'hog'. In a 'sagging' beam, the fibres on the top side of the beam are in compression and the fibres on the underside are in tension; while the opposite is the case in a beam which is liogging'. The distribution of bending moment along the length of a beam may be illustrated graphically on a bending-moment diagram (BM diagram). Example For the loaded beam shown in fig. 11, calculate the bending moment in sections AB and BC and thus determine the position and magnitude of the maximum bending moment between B and C and the bending moments at A, B, and C respectively.