Understand the geometry and given parameters.

April 9, 2026Mathematics

ScanSolve AI Answer

April 9, 2026

Answer

30 \text{ kN}$ acting vertically downwards at C.

Step 1: Understand the geometry and given parameters. The derrick crane has the following members and properties:

Load $F = 30 \text{ kN}$ acting vertically downwards at C.
Support $AB = 4 \text{ m}$ . AB is vertical.
Struts $EB = DB = 4.6 \text{ m}$ . E, B, D, G are in the horizontal plane.
Point B is supported on horizontal rollers, meaning the reaction at B is purely vertical.
Crane arm BC forms an angle of $60^\circ$ with the horizontal line BG. This means $\angle CBG = 60^\circ$ .
Angle $ABC = 120^\circ$ .

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Quick Answer

Understand the geometry and given parameters. The derrick crane has the following members and properties: Load F = 30 kN acting vertically downwards at C.

Asked on April 9, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 9, 2026

Step 1: Understand the geometry and given parameters. The derrick crane has the following members and properties: Load F = 30 kN acting vertically downwards at C. Support AB = 4 m. AB is vertical. Struts EB = DB = 4.6 m. E, B, D, G are in the horizontal plane. Point B is supported on horizontal rollers, meaning the reaction at B is purely vertical. Crane arm BC forms an angle of 60^ with the horizontal line BG. This means CBG = 60^. Angle ABC = 120^.