Mechanical Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 3 (Q.No. 1)
1.
The shear force and bending moment are zero at the free end of a cantilever beam, if it carries a
Discussion:
28 comments Page 1 of 3.
S.Patel said:
9 years ago
For cantilever beam with UDL:
If we consider a section x - x from free end.
Then, shear force will be = Wx.
Put B.C at x = 0 and x = 1.
We get at free end Shear force = 0.
Now for bending moment at x - x section.
Then, B.M will be = W(x)2/2.
Put B.C at x = 0 and x = 1.
We get free end Bending moment = 0.
So, the answer C is correct one.
If we consider a section x - x from free end.
Then, shear force will be = Wx.
Put B.C at x = 0 and x = 1.
We get at free end Shear force = 0.
Now for bending moment at x - x section.
Then, B.M will be = W(x)2/2.
Put B.C at x = 0 and x = 1.
We get free end Bending moment = 0.
So, the answer C is correct one.
Venugopalan CV said:
1 decade ago
The bending moment is zero at the free end of the cantilever in all the cases. Shear force has the value of the load in Case A. Shear force is zero in both B and C. In case C, the shear force varies linearly from zero at the free end to a maximum at the fixed end.
Krishna said:
1 decade ago
The answer is non of the above. UDL in hole length of the beam can be replaced by the point load at the center hence it will produce bending moment one end with refered to fixed end.
Nitin said:
8 years ago
It's right answer is c. Because bending moment in other cases is not exactly zero at the free end. But in udl the graph is parabolic and it is completely zero at the free end.
Manish said:
9 years ago
Ans should be both (b) and (c).
Bending moment is zero at the free end in all three cases but the shear force is zero at the free end in case of b and c only.
Bending moment is zero at the free end in all three cases but the shear force is zero at the free end in case of b and c only.
Nagendra said:
1 decade ago
Guys answer B & C. Because load at the middle portion case also bending moment is zero. It create deflection at free end only not bending moment.
Abdul Rajik said:
1 decade ago
Hi Guys,
Lets take cantilever Beam with UDL,
Now let us consider Fixed end is A,
And Free end is B.
SF at B is 0.
BM at B is 0.
So Answer is C.
Lets take cantilever Beam with UDL,
Now let us consider Fixed end is A,
And Free end is B.
SF at B is 0.
BM at B is 0.
So Answer is C.
Karan said:
9 years ago
Option B & C are the correct answers. Option A do have zero BM at the free end but it do not have zero shear stress at the free end.
The Brains said:
8 years ago
C is the only correct answer.
A & B. The shear force is W at a free end.
C. The shear force and bm both are zero at the free end.
A & B. The shear force is W at a free end.
C. The shear force and bm both are zero at the free end.
S. Ata said:
8 years ago
B & C are the correct answers.
In option A, it has zero BM at the free end but it do not have zero shear stress at the free end.
In option A, it has zero BM at the free end but it do not have zero shear stress at the free end.
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