Solution to Problem 435 | Relationship Between Load, Shear, and Moment

Problem 435
Beam loaded and supported as shown in Fig. P-435.

 

Solution to Problem 433 | Relationship Between Load, Shear, and Moment

Problem 433
Overhang beam loaded by a force and a couple as shown in Fig. P-433.

 

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

Frustum of a pyramid and frustum of a 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
 

$V = \dfrac{h}{3} \left[ \, A_1 + A_2 + \sqrt{A_1A_2} \, \right]$

 

Where:
h = perpendicular distance between A1 and A2 (h is called the altitude of the frustum)
A1 = area of the lower base
A2 = area of the upper base
Note that A1 and A2 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.

 

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