How do you calculate the arc length of an arch bridge? What is the formula for calculating the arc l

Follow-up: Is there no way to do it without knowing the radius? ：

So what do you know so far? Follow-up question: Knowing the distance from the midpoint of the chord length to the arc, can it be considered arc length?

Data to me Follow-up: There is no specific data, if you assume that you know the distance from the midpoint of the chord length to the arc, is there a formula to calculate the arc length?

It is mainly used to calculate the length of the steel pipe needed for stainless steel welding: I don't know much about finding one......However, there are a few calculation steps that can be given to you.

Let the length of the chord be a, the distance from the midpoint of the chord to the arc is h, and the radius of the circle in which the arc is located is r, then there is the equation r=a+(r-h).

R is calculated according to the above formula, and then according to the trigonometric function, the trigonometric function table (whether it is sine, cosine, tangent, cotangent, because the three sides of the triangle are known at this time) to calculate half of the central angle and then calculate the degree of the central angle (or directly calculated by the radian of the arc), and then use the arc length formula mentioned above to calculate. Addendum: Wrong....It should be half the length of the chord A

The bridge deck can actually be regarded as a part of a parabola, if you want to roughly calculate it, you can use the arc length formula, that is, the bridge deck is regarded as a part of the circle, and the calculation formula is: arc length (l) = central angle of the circle (n) radius (r) 360

Arc length formula: l = n (central angle) Pi.

r(radius) 180= (radians of the central angle) r(radius) The formula for calculating the arc length.

is a mathematical formula that is l=n (the number of angles in the center of the circle) 1) r (radius) 180 (angle), l= (radians) r (radius) (radians). where n is the number of angles at the center of the circle, r is the radius, and l is the arc length of the center of the circle.

In general, the known condition is that the arch height and chord length (set to l and h), let the radius of the circle in which the arc is located be r, then there is the square of (1 2l) + the square of (r-h) = the square of r, and r=(the square of l 4 + the square of h) 2h. After finding the value of r, only the first step of finding the arc length has been completed, and the following can be divided by half of l by r, and the resulting value can be used to find the degree of the angle in the sine table of the trigonometric function (the "Mathematical Table" that every junior high school student has), and this degree multiplied by 2 is the degree of the central angle of the sector (set to a). At this point, you can use the following formula to find the arc length: arc length =

Arc length formula: l = n (central angle) pi) r (radius) 180= (radian of the central angle) r (radius) arc length calculation formula is a mathematical formula, l = n (number of angles at the center of the circle) 1) r (radius) 180 (angle system), l = (radian) r (radius) (radian system). where n is the number of angles at the center of the circle, r is the radius, and l is the arc length of the center of the circle.

In a circle with a radius of r, because the arc length of the central angle of 360° is equal to the circumference of the circle c=2 r, the arc length of the central angle of n° is l=n° r 180° (l=n°x2 r 360°) Example: the arc length of the radius of 1cm, the arc length of the central angle of 45° is l=n r 180=45 1 180=45, which is approximately equal to.

Take the width of 8 meters, the height of 4 meters of the greenhouse as an example, at this time the arc of the greenhouse is exactly a semicircle, that is, meters), the calculation formula is: diameter. Precautions for growing crops in greenhouses:

It is strictly forbidden to use sewage for irrigation; In the process of planting, more organic fertilizer should be applied; If the pH of the soil is too low, you can sprinkle some lime to control it.

Knowing the arc length, you can calculate the radian angle, and then calculate the height of the triangle in the diagram composed of arc and radius, and finally subtract the height from the radius, which is the arch height.

Summary. Arc length formula: l = n (central angle) pi) r (radius) 180= (radian of the central angle) r (radius) arc length calculation formula is a mathematical formula, l = n (number of angles at the center of the circle) 1) r (radius) 180 (angle system), l = (radian) r (radius) (radian system).

where n is the number of angles at the center of the circle, r is the radius, and l is the arc length of the center of the circle.

Arc length formula: l = n (center angle) pi) r (radius) 180= (radian of the center angle) r (radius) The arc length calculation formula is a mathematical formula, which is l = n (the number of angles in the center of the circle) 1) r (the radius of the limb) 180 (angle subdued), l = (radian) r (radius) (radian system). where n is the number of angles in the center of the circle, r is the radius, and l is the length of the arc of the center of the car.

Summary. Hello dear, here you can find out that the arc length of the arch is calculated by l = r, where l represents the arc length, r represents the radius of the arch, represents the central angle of the arch, and the unit is radian (under the radian system, the circumference of a circle is 2).

Hello dear, here for you to find the arc length of the arch Wang Xin calculation formula is l = r, where l represents the arc length, r table Yuling rough show the radius of the arch, represents the center angle of the arch, the unit is the radian (under the radian system, a circle of Zhou Qing town length is 2).

The extended arch can be flat or three-dimensional, the arch can be a circle or a part of a cylinder, sometimes a part of a spherical shape, or a part of a parabola or ellipse. When the arch is compressed, this force is transmitted to the adjacent parts, and the force emitted by the arch foot can withstand more pressure. Therefore, the arch can withstand the collapse of the force, and the toni is heavier.

How to calculate the radius of the arch.

The radius of the arch can be calculated by the following formula: r = h 2) +l 2 8h) where r is the half-hand laughing diameter of the arch, h is the height of the arch, and l shows the span of the arch (the distance to the left and right of the vault). This formula is based on a parabolic arch model and is suitable for smaller arches and large arches with smaller spans.

For example, the height of a door is 40cm, and the width is also 9o across i, so how to calculate its radius.

If a door is 40 cm high and 90 cm wide, we can approximate it as an arch with a span of 90 cm, so its radius can be calculated using the radius formula for the arch. The radius of the arch is calculated as: r = h 2) + where h is the height of the arch and l is the span of the arch.

Taking the height of the door as the height of the arch and the width of the door as the span of the arch, substituting it into the jujube posture formula, we can get: r = 40 2) +90 2) 2 8*40) cm Therefore, the semi-rock diameter of this door is about centimeters. It should be noted that a simplified model of the arch is used here, and in fact the shape of the door may not exactly conform to the arch, so the calculation results are for reference only.

Draw with graphics instead of formulas.

This thing can only be calculated with formulas, and it can't be drawn with graphics.

What do you mean by this 2.

This 2 means squared.

Can you write this formula for me directly, thank you.

r = h/2） +l²/8h）

r (4o 2) (l80 320) is not.

Yes r (4o 2) (45 45 320).

Let the arc length be l, the arch height be h, and find the radius r

Assuming that the angle between the arc length l is , then there is l = 2 r 360, the two ends of the arc do the perpendicular line of the arc tangent, and the arc height extension line intersects the point o, the point o is the center of the circle, the angle between the two perpendicular lines is , the distance from the end of the arc to o is r, according to the cosine theorem, cos( 2)=(r-h) r, combined with the two formulas, =180l ( r), then 2=90l ( r), cos( 2)=1-h r, cos[90l ( r)]=1-h r, this is the arc length, The relationship between arch height and radius. The arc length opposite the central angle of n° is n r 180°, which broadly refers to the arc length of a smooth curve.

Arc length formula: arc length = number of angles at the center of the circle radius 180

Summary. Height, arch height, radius how to calculate the arc length.

The chord length is 2700 and the arch height is 1125.

The chord length is 2470, the arch height is 1000, and the arc length is found.

The chord length is 3160, the arch height is 1460, and the arc length is obtained.

I'll get back to you later.

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