Mechanical Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 1 (Q.No. 7)
7.
A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum normal stress will be
400 MPa
500 MPa
900 MPa
1400 MPa
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
57 comments Page 2 of 6.

Manoj Nayak said:   9 years ago
Solution is very simple. Ans is 1400.

Explanation:

Normal stress =((x+y)÷2) + √ ((x - y)÷2) + (shear stress)^2 where x = 1200 & y= 600.

Mustaf HD said:   7 years ago
Normal stress= (x+y)/2-[{(x-y)/2}cos2@]-(z*sin2θ).

Z-shear stress.
θ perpendicular means 90.
900-(-300)-0=1200.
The answer should be 1200.
(5)

Sachin pravin patil said:   9 years ago
The resultant tensile stress is (1200+600)/2 =900 MPA shear stress =400 Mpa using maximum normal stress theory 1/2(900+ 900^2+4 * 400^2)= 1400Mpa.

Hareshkumar said:   8 years ago
The resultant tensile stress is (1200+600)/2 =900 MPA shear stress =400 Mpa using maximum normal stress theory 1/2(900+ 900^2+4 * 400^2) = 1400Mpa.

Kamal Talukdar. said:   7 years ago
1200+600/2+1/2 * (1200-600)^2+4 * (400)^2.
= 1800/2+1/2 * (600)^2+4 * (400)^2,
= 900+1/2 * 360000+640000,
= 900+1/2*1000,
= 900+500.
= 1400MPa.
(25)

Nabin said:   1 decade ago
LET

T.S1=1200 and T. S2=600 and S.S=400 normal stress = T.S1+T.S2-S.S.

Then 1200+600-400 = 1400. So maximum normal stress = 1400 Mpa.

Khagesh said:   1 decade ago
We can get max normal stress from: x+y=n1+n2.

The formula given above is wrong for max normal stress if you don't believe it solve it.

Kaushl said:   1 decade ago
Normal stress & principal stress are not same, then how we can use the formula of max principal stress for finding normal stress.

Mahender Rana said:   1 decade ago
Yes I am agree with @Kaushal that normal and principal stresses are not same, then how it is possible to use same formula.

Kaushal roy said:   7 years ago
Two different stress act on a member design should be based on max principal stress so here we find max principal stress.


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