Civil Engineering - GATE Exam Questions - Discussion

9. 

The plastic modulus of a section is 4.8 x 10-4 m3. The shape factor is 1.2. The plastic moment capacity of the section is 120 kN.m. The yield stress of the material is

[A]. 100 MPa
[B]. 240 MPa
[C]. 250 MPa
[D]. 300 MPa

Answer: Option C

Explanation:

No answer description available for this question.

Deepak Prajapati said: (Feb 6, 2015)  
Mp = 120 Kn-M.
Fy = ?

Zp = 4.8 * 10-4.
Fy = Mp / Zp.

Fy = 120/4.8 *10-4.
= 250 * 10-3.
or 250 Mpa.

Monu Verma said: (Feb 6, 2015)  
What about shape factor?

Mayuri said: (Dec 9, 2015)  
Shape factor is the ratio of bending strength (Mp) of a rectangular member by its yield strength (My). Shape factor f = Mp/My and as Mp = FyZp and My = FyZe. So F = Zp/Ze.

Snjy said: (Feb 10, 2017)  
Nice explanation. Thank you all.

Roy said: (Nov 26, 2017)  
My=FyZy.

Now,My=(plastic moment/S.F)=100/1.2=100...and Zy=(plastic section modulus/S.F)=(4.8*10^-4/1.2)=4*10^-4.

So now Fy=250Mpa.

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