What is the maximum tension (approximately) in the cable as shown in figure, if it carries a uniform horizontally distributed load of intesity 120 kN/m?

 

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UPSC ESE Prelims (Civil) 20 Feb 2022 Official
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  1. 48.5 kN
  2. 48.5 MN
  3. 485 kN
  4. 4850 N

Answer (Detailed Solution Below)

Option 2 : 48.5 MN
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ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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Solution:

Taking. ∑Ma = 0 ⇒ - VB × 300 + 120 × 300 ×  = 0

VB = 120 × 150 = 18000 KN

∑Fy = 0 ⇒ VA + VB = 120 × 300

VA = 18000 kN

As we know that cable is always subjected to axial tension, Bending moment at each point along the length of the cable is zero.

∴ BMC [From Right Side] = 0

⇒ VB × 150 - HB × 30 - 120 × 150 ×   = 0

HB = 45000 KN

∴ Maximum Tension in The cable 

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