📚 A-Level Eduqas Engineering: Formulas and Theorems Quick Reference Handbook | A-Level Eduqas 工程:公式定理速查手册
This comprehensive quick-reference handbook distills the essential formulas and theorems required for the A-Level Eduqas Engineering syllabus. It is designed to provide clear, bilingual explanations to reinforce understanding and boost exam confidence.
这本全面的速查手册提炼了 A-Level Eduqas 工程课程所需的核心公式与定理,以清晰的双语解释强化理解、提升考试信心。
1. Mechanics: Forces and Moments | 力学:力与力矩
For an object to be in static equilibrium, the vector sum of all forces acting upon it must be zero, and the sum of the moments about any point must also be zero.
ΣF = 0 and ΣM = 0
要使物体处于静力平衡状态,作用其上的所有力的矢量和必须为零,且对任意点的力矩之和也必须为零。
The moment of a force about a pivot is calculated as the product of the force magnitude and the perpendicular distance from the pivot to the line of action of the force.
M = F × d
力对支点的力矩等于力的大小与支点到力作用线的垂直距离的乘积。
A couple is a pair of equal and opposite parallel forces that produce rotation but no net translational force. The torque of a couple is the product of one force and the perpendicular distance between them.
T = F × d
力偶是一对大小相等、方向相反的平行力,产生转动而无净平移力。力偶的扭矩等于其中一个力与两力之间垂直距离的乘积。
2. Stress, Strain and Young’s Modulus | 应力、应变与杨氏模量
Tensile stress is the force applied per unit cross-sectional area, while tensile strain is the extension per unit original length.
Stress: σ = F / A
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