
Calculator Box
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A Cable Tray Trunking Offset 45° Calculator is used to determine the offset length and bend lengths when routing a cable tray around obstacles at a 45-degree angle. This involves:
- Calculating the Hypotenuse for the bend.
- Determining the Offset Distance for proper alignment.
- Finding the Cut Lengths to ensure precise bending.
This interactive calculator allows users to input adjacent (A), opposite (B), and width to compute the offset for a 45° cable tray, trunking and ladder.
How This Calculator Works
- User enters values for Adjacent (A), Opposite (B), and Width.
- Clicks on "Calculate" button, and results appear in read-only fields.
- Clicks on "Clear" button, and all inputs & outputs reset instantly.
- To find cut length (Hypotenuse) :- To calculate the cut length and angles for bending trunking, tray, or ladder at a 45-degree angle, you can use the Pythagorean theorem and basic trigonometry. \[ \text{C} = \sqrt{\text{A}^2 + \text{B}^2} \] You can find the hypotenuse of a right triangle using the Pythagorean theorem: \[ \text{C} = \sqrt{\text{A}^2 + \text{B}^2} \] - A = 200 mm (adjacent)
- To find marking & offset distance :- For cutting notches (for metal trays & trunking), use: \[ \text{D} = \text{S} \times \tan(45^\circ / 2)\] To calculate the offset distance (D) using the formula: \[ \text{D} = \text{S} \times \tan\left(\frac{45}{2}\right) \] - Trunking Width = 100mm
- User-Friendly:- Simple input and clear output.
- Real-Time Calculation:- Click a button, and get instant results.
- Accurate Calculations:- Uses Pythagoras theorem and trigonometry.
Formula
- B = 200 mm (opposite)
Calculation \[ \text{C} = \sqrt{\text{200}^2 + \text{200}^2} \] \[ \text{C} = \sqrt{40000 + 40000} \] \[ \text{C} = \sqrt{80000} \approx 282.84 mm \] \[ \text{C} = 283 mm \] So, the hypotenuse is approximately 283 mm.
- 22.5° is the tangent of half of 45°
Calculation \[ \text{D} = 100 \times \tan(22.5^\circ) \] \[ \text{D} = 41.42 mm \] The offset distance (D) is approximately 41.42mm.
Where:
-\(S\) : Width of the material { cable trunking, tray, or ladder. (mm)}.-\(D\) : Distance to cut back from the benpoint in mm.
-\(C\) : Hypotenuse in mm.
-\(A\) : Adjacent Side in mm.
-\(B\) : Opposite Side in mm.