b) The rectangular section shown below is subjected to a moment of M=257kN.m. Assume a cracked section and calculate the elastic stresses in the concrete and reinforcement at loading Cross-section: width height Modulus of elasticity: concrete reinforcement Reinforcement: depth area b:= 406-mm h := 793-mm Ec := 26.6-GPa Es := 200-GPa d:= 721 mm A, 3039-mm 2 h b - A's A₂ d':= 72 mm A's= 1548-mm 2 d

b) The rectangular section shown below is subjected to a moment of M=257kN.m. Assume a cracked section and calculate the elastic stresses in the concrete and reinforcement at loading Cross-section: width height Modulus of elasticity: concrete reinforcement Reinforcement: depth area b:= 406-mm h := 793-mm Ec := 26.6-GPa Es := 200-GPa d:= 721 mm A, 3039-mm 2 h b - A's A₂ d':= 72 mm A's= 1548-mm 2 d

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Design criteria for structural loading

The different loads such as loads due to self-weight (dead load) and external loads such as live load, wind loads, seismic load, snow load, and other loads and load combinations that influence the design of a building are called structural loading. The nature of the applied load differs from changes in the location, design, and type of materials used. The design criteria require that structures must be designed and constructed to be able to withstand all load types that are expected to act upon the structure and render its usage for the designated purpose. The structural members such as beams, slabs, columns, and foundations help the structure to withstand the applied load. There are different institutes such as ASCE and ACI that provide building design codes to assure minimum safety requirements and quality of the structures.

Question

b) The rectangular section shown below is subjected to a moment of M=257kN.m. Assume a cracked
section and calculate the elastic stresses in the concrete and reinforcement at loading
Cross-section:
width
height
Modulus of elasticity:
concrete
reinforcement
Reinforcement:
depth
area
b:= 406-mm
h := 793-mm
Ec
:= 26.6-GPa
Es := 200-GPa
d:= 721 mm
A, 3039-mm
2
h
b
-
A',
A₂
d':= 72 mm
A's= 1548-mm
2
d

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Follow-up Question

Please explain why we say (2n -1)As'

(721-x)
K-406mm
On
A₁ = 1548 mm²
A₁ = 3039 mm²
n =
*
Es
E
Neutral
I.
200 G Pa
26.6 GPa
203x²
axis
Locating
(b) (x) (²/2) + (2n-1) A's (x-d') = n As (d-x)
K-406mm
= 7.519
solving above
(406) (x))+ (2x 7.519 -1) (1548) (x - 72) = (7-519) (3039) (721-x)
+ 21730 824 (x-72). = 22850241 (721-x)
equation,
get
x = 207.88 mm
-(2n-1) As
we
-nA₂

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