1. The given rectangular beam is the section of the 2-span frame shown. The properties of the section are all given in the figure. The column size is 600mm by 600mm. A 6-32 mm 6.0 m Wu S f'c = 21 MPa fy=276 MPa cc = 50 mm 0,= 10 mm b=350 mm h=400 mm B 7.0 m Wu For calculating negative moments, I, is taken as the average of the adjacent clear span lengths. POSITIVE MOMENT: End spans Discontinuous end unrestrained Discontinuous end integral with support Interior spans NEGATIVE MOMENT: at exterior face of first interior support Two spans More than two spans at other faces of interior supports at face of all supports for: slabs with spans not exceeding 3 meters; and beams where ratio of sum of column stiffnesses to beam stiffness exceeds eight at each end of the span at interior face of exterior support for members built integrally with supports: where support is a spandrel beam where support is a column.............. C c. What is the steel stress in the given section in MPa? w 1²/16 w219 w/10 w/²/12 w.l.²/24 w/16 a. Calculate the effective depth of the section in mm?` b. Calculate the depth of the neutral axis at failure of the beam in mm.

1. The given rectangular beam is the section of the 2-span frame shown. The properties of the section are all given in the figure. The column size is 600mm by 600mm. A 6-32 mm 6.0 m Wu S f'c = 21 MPa fy=276 MPa cc = 50 mm 0,= 10 mm b=350 mm h=400 mm B 7.0 m Wu For calculating negative moments, I, is taken as the average of the adjacent clear span lengths. POSITIVE MOMENT: End spans Discontinuous end unrestrained Discontinuous end integral with support Interior spans NEGATIVE MOMENT: at exterior face of first interior support Two spans More than two spans at other faces of interior supports at face of all supports for: slabs with spans not exceeding 3 meters; and beams where ratio of sum of column stiffnesses to beam stiffness exceeds eight at each end of the span at interior face of exterior support for members built integrally with supports: where support is a spandrel beam where support is a column.............. C c. What is the steel stress in the given section in MPa? w 1²/16 w219 w/10 w/²/12 w.l.²/24 w/16 a. Calculate the effective depth of the section in mm?` b. Calculate the depth of the neutral axis at failure of the beam in mm.

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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British Gravitational Bg System Of Units

Measuring is the comparison of a particular physical quantity with its reference value. A unit is a fixed physical quantity. The length is a physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with. 

Question

1. The given rectangular beam is the section of the 2-span frame shown. The
properties of the section are all given in the figure. The column size is
600mm by 600mm.
A
6-32 mm
6.0 m
Wu
S
f'c = 21 MPa
fy=276 MPa
cc = 50 mm
0,= 10 mm
b = 350 mm
h=400 mm
B
7.0 m
Wu
For calculating negative moments, /, is taken as the average
of the adjacent clear span lengths.
POSITIVE MOMENT:
End spans
Discontinuous end unrestrained
Discontinuous end integral with
support
Interior spans
NEGATIVE MOMENT:
at exterior face of first interior support
Two spans
More than two spans
at other faces of interior supports .............
at face of all supports for: slabs with
spans not exceeding 3 meters; and
beams where ratio of sum of column
stiffnesses to beam stiffness exceeds
eight at each end of the span
at interior face of exterior support for
members built integrally with supports:
where support is a spandrel beam
where support is a column
C
c. What is the steel stress in the given section in MPa?
w1²/11
w/14
wal²/16
w19
w/10
w/11
w/²/12
w.l.2/24
w/²/16
a. Calculate the effective depth of the section in mm?
b. Calculate the depth of the neutral axis at failure of the beam in mm.
d. Calculate the ultimate moment capacity of the given section in kN.m.
e. Using approximate method of analysis for the design moment, calculate
the maximum uniform load W₁ in kN/m that can be supported at location
S without exceeding the ultimate moment capacity of the given section.

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