# Problem 818 | Continuous Beam by Three-Moment Equation

**Problem 818**

In Problem 817, determine the changed value of the applied couple that will cause M_{2} to become zero.

# Problem 817 | Continuous Beam by Three-Moment Equation

# Problem 816 | Continuous Beam by Three-Moment Equation

# Problem 815 | Continuous Beam by Three-Moment Equation

# 12 - Circular sector inscribed in a square

# 042 Review Problem - Water is poured by tilting the glass

# 041 Review Problem - Weight capacity of industrial soap kettle

**Problem 41**

Soap kettles used in the commercial manufacture of soap are as a rule large cylindrical vats, 50,000 lb. or more of soap being made in a single beating. Find the capacity of such a kettle having an inside diameter of 18 ft and an altitude of 30 ft. if soap weighs 70 lb. per cu. ft.

# 040 Review Problem - Volume comparisons of two water crystals

**Problem 40**

When a liquid freezes, it changes into a mass of solid bodies, each of which has a definite geometric form and is known as a crystal. Crystals are always bounded by plane surfaces, which are arranged in an orderly fashion with reference to imaginary lines drawn through the crystal and called its area. Every crystal has therefore a definite geometric form. Compare the volumes of crystals, one in the shape of a hexagonal right prism 'a' units on a side and '2a' units in altitude, and the other in the shape of two oppositely directed hexagonal regular pyramids, each 'a' units high with a common base 'a' units on a side.