Civil Engineering - Strength of Materials - Discussion

14. 

For the beam shown in below figure, the maximum positive bending moment is nearly equal to negative bending moment when L1 is equal to

[A]. 1.0 L
[B]. 0.7 L
[C]. 0.5 L
[D]. 0.35 L.

Answer: Option D

Explanation:

No answer description available for this question.

Powerexplorer said: (Jul 10, 2016)  
I think it's L1 = 0.21L.

Siva said: (Sep 16, 2016)  
For me the answer is 0.207 L.

Pavan said: (Sep 18, 2016)  
Ans D is correct.

L1 = 0.207 (L + 2L1) (observe the length of beam those lengths are different from standard case).

L1 = 0.35 L.

Aspirant said: (Sep 18, 2016)  
Guys, do anyone knows which beam is this?

Continues or overhanging.

Shamsuddin said: (Sep 21, 2016)  
@Aspirant.

It is Overhanging.

Himzz The Great said: (Nov 25, 2016)  
No, answer is wrong I solved it and found out the answer is L1 = 1.207L and - .207L.

Yuvarjsingh said: (Jul 4, 2017)  
Dear @@Aspirant.

Continuous will always start with both ending supports, so it is overhanging.

Gowthami.V said: (Jul 6, 2017)  
@PAVAN.

How is it L1=0.207?

Prasanta said: (Jul 19, 2017)  
Please describe the answer of this problem.

A. Afarid said: (Aug 13, 2017)  
The corret option D.

Priya said: (Jan 1, 2018)  
Please describe it briefly.

Garry said: (Jun 23, 2018)  
Option D is correct the answer will be point 353 times L.

Kajal Tomar said: (Jul 12, 2018)  
Correct ans is D; see how.

Max. Positive B.M = W/8 ( L^2 - 4a^2).
Max. Negative B.M = Wa^2 /2.
W/8( L^2 - 4a^2 ) = Wa^2 /2 ( acc. to quest);
Sove nd get a = 0.35 L.
Here (L1 = a = overhang).

Akshay said: (Sep 15, 2018)  
Thanks @Kajal.

Anitha said: (Sep 24, 2020)  
@Kajal.

How come 4a^2?

Shubham said: (Jul 26, 2021)  
BM at centre = WL1^2/8 + wl1L1^2/2.
Bm at support = WL1^2/2.
WL1^2/8 + wl1L1^2/2 = WL1^2/2.
= 0.207.

Arun Kumar said: (Aug 20, 2021)  
For equal moment L1 = 0.35 L.
For equal deflection L1 = 0.207 L.

Arun Kumar said: (Aug 20, 2021)  
For equal moment L1 = 0.35 L,
For max bending moment is minimum L1 = 0.207 L,
If point load at both ends & for equal deflection condition L1= 0.207L.

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