# 036 Review Problem - Circular hole bored through a sphere

# 035 Review Problem - Amount of concrete in a caisson

**Problem 35**

In the foundation work of the Woolworth Building, a 55-story building in New York City, it was necessary, in order to reach the bedrock, to penetrate the sand and quicksand to a depth, in some instances, of 131 ft. If the largest circular caisson, 19 ft. in diameter, was 130 ft. deep and was filled with concrete to within 30 ft, of the surface, how many cubic yards of concrete were required?

# 034 Review Problem - Sphere dropped into a cone

# 033 Review Problem - Finding which one is the better bargain

**Problem 33**

Disregarding quality, and considering oranges as spheres, determine which is the better bargain, oranges 2-3/4 in. in diameter at 15 cents per dozen, or oranges averaging 3-1/2 in. in diameter at 30 cents per dozen.

# 032 Review Problem - How many cups of coffee a coffee pot can hold?

**Problem 32**

A coffee pot is 5 in. deep, 4-1/2 in. in diameter at the top, and 5-3/4 in. in diameter at the bottom. How many cups of coffee will it hold if 6 cups equal 1 quart? Answer to the nearest whole number.

# Calculator for Finding the Required Steel Area of Reinforced Concrete T-Beam

**T-beam Calculator for finding the required steel area using Ultimate Strength Design**

f_{c}' = concrete strength

f_{y} = steel yield strength

d_{b} = bar diameter

b_{f} = flange width

t_{f} = flange thickness

b_{w} = width of web

d = effective depth

d' = compression steel depth

M_{u} = M_{n} × LF

where:

M_{n} = nominal moment

LF = load factor

# Calculator for Finding the Ultimate Strength of Rectangular Concrete Beam with Known Tension Steel Area

This calculator will determine the ultimate strength (ϕM_{n}) of beam with given tension steel area and other beam properties like width, effective depth, concrete strength, and yield strength of steel. You may experiment with the steel area and find the corresponding solution if beam reinforcement is inadequate, the beam is tension controlled, in transition, or compression controlled. The computation used in finding the ultimate strength is in compliance to NSCP and ACI 318.

# Calculator for Finding the Required Steel Area of Reinforced Concrete Beam

**Enter the following:**

f_{c}' = compressive stress of concrete in MPa

f_{y} = yield strength of steel in MPa

b = width of beam in mm

d = effective depth in mm

d' = location of compression steel in mm

Use d' = 70 mm if not given.

load factor = see NSCP code requirements

M_{n} = unfactored moment in kN·m

Use load factor = 1.0 if M = M_{u} (or factored moment)

# Calculator for Finding the Dimensions of Singly Reinforced Rectangular Beam

This calculator will compute the required dimensions and required steel reinforcement of reinforced concrete rectangular beam - singly reinforced. The computations are in accordance to American Concrete Institute (ACI) and National Structural Code of the Philippines (NSCP) specifications. The solution is done using **Ultimate Strength Design, USD**, details are included in expandable regions.

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