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I am not seeing anywhere in the Chartjs documentation or code where it would be possible to prevent the scale area to resize.
In the code they have a description of how the layout is calculated. Given that this layout is resized and rendered when the data is updated, the only way I can see that would allow for what you want would be to modify/extend the Chartjs code.
// Essentially we now have any number of boxes on each of the 4 sides.
// Our canvas looks like the following.
// The areas L1 and L2 are the left axes. R1 is the right axis, T1 is the top axis and
// B1 is the bottom axis
// There are also 4 quadrant-like locations (left to right instead of clockwise) reserved for chart overlays
// These locations are single-box locations only, when trying to register a chartArea location that is already taken,
// an error will be thrown.
//
// |----------------------------------------------------|
// | T1 (Full Width) |
// |----------------------------------------------------|
// | | | T2 | |
// | |----|-------------------------------------|----|
// | | | C1 | | C2 | |
// | | |----| |----| |
// | | | | |
// | L1 | L2 | ChartArea (C0) | R1 |
// | | | | |
// | | |----| |----| |
// | | | C3 | | C4 | |
// | |----|-------------------------------------|----|
// | | | B1 | |
// |----------------------------------------------------|
// | B2 (Full Width) |
// |----------------------------------------------------|
//
// What we do to find the best sizing, we do the following
// 1. Determine the minimum size of the chart area.
// 2. Split the remaining width equally between each vertical axis
// 3. Split the remaining height equally between each horizontal axis
// 4. Give each layout the maximum size it can be. The layout will return it's minimum size
// 5. Adjust the sizes of each axis based on it's minimum reported size.
// 6. Refit each axis
// 7. Position each axis in the final location
// 8. Tell the chart the final location of the chart area
// 9. Tell any axes that overlay the chart area the positions of the chart area
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Source:stackexchange.com