wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A structural beam subjected to sagging bending has a cross-section which is an unsymmetrical I-section. The overall depth of the beam is 300 mm. The flange stresses in the beam are:
σtop=200N/mm2
σbottom=50N/mm2

What is the height in mm of the neutral axis above the bottom flange?

A
240 mm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
60 mm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
180 mm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
120 mm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 60 mm
The sagging moment will cause compressive stresses above the neutral axis and tensile stresses below the neutral axis. The variation of stresses is linear in pure bending.

x50=300x200

200x=1500050x

x=15000250=60mm

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Theory of Pure Bending
STRENGTH OF MATERIALS
Watch in App
Join BYJU'S Learning Program
CrossIcon