Trigonometry
To find the distances and heights we can use the mathematical techniques, which come under the Trigonometry. It shows the relationship between the sides and the angles of the triangle. Generally, it is used in the case of a right angle triangle.
Trigonometric Ratios
In a right angle triangle, the ratio of its side and the acute angles is the trigonometric ratios of the angles.
In this right angle triangle ∠B = 90°. If we take ∠A as acute angle then -
AB is the base, as the side adjacent to the acute angle.
BC is the perpendicular, as the side opposite to the acute angle.
Ac is the hypotenuse, as the side opposite to the right angle.
Trigonometric ratios with respect to ∠A
sin (90° – A) = cos A,
cos (90° – A) = sin A,
tan (90° – A) = cot A,
cot (90° – A) = tan A,
sec (90° – A) = cosec A,
cosec (90° – A) = sec A
All formula of Trigonometry:
Mechanical and durability Behavior of fiber reinforced concrete incorporating deferent types of natural, pp and steel fibers
1. Introduction As an important building material, concrete has been widely used in civil engineering applications such as bridges and roads engineering, and the related experimental study of the mechanical properties of concrete was also fruitful . With the vigorous development of engineering construction, high-performance concretes such as fiber-reinforced concrete was applied gradually in important engineering structures . Among these high-performance concretes, for the advantages of low cost, easy fabrication, and performance improvements, obviously, steel fiber-reinforced concrete was used widely in the current engineering field . However, the study showed that uneven incorporation of steel fiber would affect the fluidity and uniformity of concrete mixing and even result in fiber bonding, which eventually affects the reinforcement effect of mechanical properties. Up to now, most research paid attention on the improvement effect of different types of fiber or optimum fiber co...








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