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ib-Tutorial 3

# ib-Tutorial 3 - EG1109 STATICS and MECHANICS OF MATERIALS...

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EG1109 STATICS and MECHANICS OF MATERIALS INQUIRY-BASED TUTORIAL NO. 3 1. Consider a cable of span L and carrying a uniformly distributed load o q as shown in Fig. 1. Assuming the weight of the cable to be negligible, determine the optimal shape of the cable that minimizes the total volume of the cable material. The axial stress (axial force divided by cross-sectional area) in the cable should not exceed the maximum permissible stress o σ . 2. A system of two inextensible, flexible cables is shown supporting a 1000-kg platform in a horizontal position, as shown in Fig. 2. What are the inclinations of the cable segments AB and DE to accomplish this and what lengths should they be? Determine the maximum tension in the cable. Neglect the weight of the cable and assume g = 10 m/s 2 . α 2 α 1 E D C B A 250 kg 3 m 5 m 10 m 5 m 5 m Fig. 2 A B C x y L h o q Fig. 1

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3. A cable of length L is supported at different elevations and is used to suspend two masses 1 m = 10 kg and 2 m = 25 kg at B and C , respectively, as shown in Fig. 3. The vertical heights of
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ib-Tutorial 3 - EG1109 STATICS and MECHANICS OF MATERIALS...

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