Sample Solution from
Structural Analysis (10th Edition)
10th Edition
ISBN: 9780134610672
Chapter 1
Problem 1.1P
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Textbook Problem

The floor of a heavy storage warehouse building is made of 6-in.-thick stone concrete. If the floor is a slab having a length of 15 ft and width of 10 ft, determine the resultant force caused by the dead load and the live load.

Expert Solution
To determine

Resultant force due to dead load and live load.

Answer

Resultant force = 215 kN

Explanation of Solution

Given information:

Floor thickness =6 in = 0.15 m

Length of the floor =15 ft = 4.572 m

The width of the floor =10 ft = 3 m

A dead load of the floor is calculated by multiplying the unit weight of concrete with the dimensions of the slab and the Live load for heavy storage warehouse building is taken from the ASCE-7

Calculation:

Imposed load for a heavy storage warehouse =250 lb/ft2

Live load for heavy storage warehouse = 250×10×15=37500 lb

Minimum Design Dead load of stone concrete per inch =12 lb/ft2

Dead load on the warehouse floor of 6 inches thick =12×15×10×6=10800 lb

Total load = Dead load + Live load =10800+37500=48300 lb

Resultant force =48300 lb = 214.85 kN215 kN

Conclusion:

The resultant force thus obtained is 215 kN

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