The T-shaped beam shown above is supporting a concentrated load P at its free end. The beam has an allowable bending stress of ?????? = 250 MPa and an allowable shear stress of ?????? = 100 MPa.a) Determine the distance to the neutral axis (?̅), second moment of area (?), and the section modulus (?) of the cross-section.b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. On your diagrams, express the values of shear and moment in terms of the applied load P.c) Determine the maximum value of P such that bending failure will not occur.d) Determine the maximum value of P such that shear failure will not occur.e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to the beam? Is this beam bending or shear governed? Question 1:kP3 m3 m120 mm50 mm50 mm20 mm20 mm150 mmN/AyThe T-shaped beam shown above is supporting a concentrated load P at its free end. The beamhas an allowable bending stress of allow = 250 MPa and an allowable shear stress of Tallow100 MPa.a) Determine the distance to the neutral axis (y), second moment of area (I), and the sectionmodulus (S) of the cross-section.b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. Onyour diagrams, express the values of shear and moment in terms of the applied load P.c) Determine the maximum value of P such that bending failure will not occur.d) Determine the maximum value of P such that shear failure will not occur.e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to thebeam? Is this beam bending or shear governed?

Neutral axis In order to locate the Neutral axis from bottom we have y = A1*y1+A2*y2A1+A2 A1 = Area…

Answered: The T-shaped beam shown above is…

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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The T-shaped beam shown above is supporting a concentrated load P at its free end. The beam has an allowable bending stress of ?????? = 250 MPa and an allowable shear stress of ?????? = 100 MPa.

a) Determine the distance to the neutral axis (?̅), second moment of area (?), and the section modulus (?) of the cross-section.
b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. On your diagrams, express the values of shear and moment in terms of the applied load P.
c) Determine the maximum value of P such that bending failure will not occur.
d) Determine the maximum value of P such that shear failure will not occur.
e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to the beam? Is this beam bending or shear governed?

Question 1:
k
P
3 m
3 m
120 mm
50 mm
50 mm
20 mm
20 mm
150 mm
N/A
y
The T-shaped beam shown above is supporting a concentrated load P at its free end. The beam
has an allowable bending stress of allow = 250 MPa and an allowable shear stress of Tallow
100 MPa.
a) Determine the distance to the neutral axis (y), second moment of area (I), and the section
modulus (S) of the cross-section.
b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. On
your diagrams, express the values of shear and moment in terms of the applied load P.
c) Determine the maximum value of P such that bending failure will not occur.
d) Determine the maximum value of P such that shear failure will not occur.
e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to the
beam? Is this beam bending or shear governed?

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