# Solution to Problem 432 | Relationship Between Load, Shear, and Moment

**Problem 432**

Beam loaded as shown in Fig. P-432.

# Solution to Problem 431 | Relationship Between Load, Shear, and Moment

**Problem 431**

Beam loaded as shown in Fig. P-431.

# Solution to Problem 430 | Relationship Between Load, Shear, and Moment

**Problem 430**

Beam loaded as shown in Fig. P-430.

# Solution to Problem 429 | Relationship Between Load, Shear, and Moment

**Problem 429**

Beam loaded as shown in Fig. P-429.

# Solution to Problem 428 | Relationship Between Load, Shear, and Moment

**Problem 428**

Beam loaded as shown in Fig. P-428.

# Derivation of formula for volume of a frustum of pyramid/cone

**Frustum of a pyramid and frustum of a cone**

The formula for frustum of a pyramid or frustum of a cone is given by

Where:

h = perpendicular distance between A_{1} and A_{2} (h is called the altitude of the frustum)

A_{1} = area of the lower base

A_{2} = area of the upper base

Note that A_{1} and A_{2} are parallel to each other.

# Solution to Problem 427 | Relationship Between Load, Shear, and Moment

**Problem 427**

Beam loaded as shown in Fig. P-427.

# Solution to Problem 426 | Relationship Between Load, Shear, and Moment

**Problem 426**

Cantilever beam acted upon by a uniformly distributed load and a couple as shown in Fig. P-426.

# Solution to Problem 425 | Relationship Between Load, Shear, and Moment

**Problem 425**

Beam loaded as shown in Fig. P-425.

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