# Deflections Determined by Three-Moment Equation

# Angle between two chords

# Problem 01 - Equation of a curve

# 02 - Bullet fired from the top of a building

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**Problem 02**

A bullet is fired at an initial velocity of 150 m/s and an angle of 56° at the top of a 120 m tall building. Neglecting air resistance, determine the following:

- The maximum height above the level ground that can be reached by the bullet.
- The time for the bullet to hit the ground.
- The velocity with which the bullet will hit the ground.

# The Moment Distribution Method

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Moment distribution is based on the method of successive approximation developed by Hardy Cross (1885–1959) in his stay at the University of Illinois at Urbana-Champaign (UIUC). This method is applicable to all types of rigid frame analysis.

# Cycloid: equation, length of arc, area

# 821 Rectangle minus semi-circle | Moment of Inertia

# 01 Maximum area of triangle of given perimeter

# Partial Derivatives

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Let F be a function of several variables, say x, y, and z. In symbols,

$F = f(x, \, y, \, z)$.

The partial derivative of F with respect to x is denoted by

$\dfrac{\partial F}{\partial x}$

and can be found by differentiating f(x, y, z) in terms of x and treating the variables y and z as constants.