wiz-icon
MyQuestionIcon
MyQuestionIcon
4
You visited us 4 times! Enjoying our articles? Unlock Full Access!
Question

What is the thickness of a 120 mm wide uniform plate for safe continuous operation if the plate is subjected to a tensile load with a maximum value of 250 kN and a minimum value of 100 kN? The properties of the plate material are as follows

Endurance limit stress = 225 MPa

Yield point stress = 300 Mpa

factor of safety on yield point = 1.5

Use Soderberg's formula for calculating thickness.

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

The correct option is A 12 mm
Given, b = 120,

Pmax=250kN,Pmin=100kN,σc=225MPa,σy=300MPa,N=1.5

Area,A=b×t=120mm2

Mean Load,

Pm=Pmax+Pmin2=250+1002=175kN

variable Load,

Pv=PmaxPmin2=2501002=75kN

Mean stress,

σm=PmA=1750×103120tN/mm2

Variable stress,

σv=PcA=75×103120tN/mm2

According to Soderberg's formula,

1N=σmσy+σvσa

11.5=175×103120t×300+75×103120t×225=4.86t+2.78t=7.64t

t=7.64×1.5=11.46 mm ....say 12 mm

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Dearrangement
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon