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9. Mechanical Properties of Solids
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Q9 of 29 Page 68

The stress-strain graphs for two materials are shown in Fig.9.3 (assume same scale).


The linear limit is elastic limit and the ultimate tension strength is the breaking strength.

Since, the linear limit of material (ii) is more than that of (i), it is more elastic. Also, since the gap between the Ultimate Tension Strength and Fracture Point is less for material (ii) than for material (i), it is more brittle.

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7

A rectangular frame is to be suspended symmetrically by two strings of equal length on two supports (Fig. 9.2). It can be done in one of the following three ways;

(a)


(b)


(c)


The tension in the strings will be


8

Consider two cylindrical rods of identical dimensions, one of rubber and the other of steel. Both the rods are fixed rigidly at one end to the roof. A mass M is attached to each of the free ends at the centre of the rods.

10

A wire is suspended from the ceiling and stretched under the action of a weight F suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.

11

A rod of length l and negligible mass is suspended at its two ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths (Fig. 9.4). The cross-sectional areas of wires A and B are 1.0 mm2 and 2.0 mm2, respectively

(YAI = 70 X 109 Nm-2 and Ysteel = 200 X 109 Nm-2)



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9. Mechanical Properties of Solids
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