PPT: Shear Stresses in Beams Mechanical Engineering Notes | EduRev

Strength of Materials (SOM)

Mechanical Engineering : PPT: Shear Stresses in Beams Mechanical Engineering Notes | EduRev

 Page 1


Topics To Be Covered
1. Shear Force
2. Shear Stresses In Beams
3. Horizontal Shear Stress
4. Derivation Of Formula 
5. Shear Stress Distribution Diagram
6. Numericals
Page 2


Topics To Be Covered
1. Shear Force
2. Shear Stresses In Beams
3. Horizontal Shear Stress
4. Derivation Of Formula 
5. Shear Stress Distribution Diagram
6. Numericals
Shear force
? Any force which tries to shear-off the
member, is termed as shear force.
? Shear force is an unbalanced force,
parallel to the cross-section, mostly
vertical, but not always, either the right or
left of the section.
Page 3


Topics To Be Covered
1. Shear Force
2. Shear Stresses In Beams
3. Horizontal Shear Stress
4. Derivation Of Formula 
5. Shear Stress Distribution Diagram
6. Numericals
Shear force
? Any force which tries to shear-off the
member, is termed as shear force.
? Shear force is an unbalanced force,
parallel to the cross-section, mostly
vertical, but not always, either the right or
left of the section.
Shear Stresses
? To resist the shear force, the element will
develop the resisting stresses, Which is
known as Shear Stresses( ?).
?=                            =             
Shear force
Cross sectional 
area
S
A
Page 4


Topics To Be Covered
1. Shear Force
2. Shear Stresses In Beams
3. Horizontal Shear Stress
4. Derivation Of Formula 
5. Shear Stress Distribution Diagram
6. Numericals
Shear force
? Any force which tries to shear-off the
member, is termed as shear force.
? Shear force is an unbalanced force,
parallel to the cross-section, mostly
vertical, but not always, either the right or
left of the section.
Shear Stresses
? To resist the shear force, the element will
develop the resisting stresses, Which is
known as Shear Stresses( ?).
?=                            =             
Shear force
Cross sectional 
area
S
A
Example:-
? For the given figure if we want to 
calculate the ?..
? Then it will be
Let shear force be S
? ?=S/(bxd)
d
b
S
Page 5


Topics To Be Covered
1. Shear Force
2. Shear Stresses In Beams
3. Horizontal Shear Stress
4. Derivation Of Formula 
5. Shear Stress Distribution Diagram
6. Numericals
Shear force
? Any force which tries to shear-off the
member, is termed as shear force.
? Shear force is an unbalanced force,
parallel to the cross-section, mostly
vertical, but not always, either the right or
left of the section.
Shear Stresses
? To resist the shear force, the element will
develop the resisting stresses, Which is
known as Shear Stresses( ?).
?=                            =             
Shear force
Cross sectional 
area
S
A
Example:-
? For the given figure if we want to 
calculate the ?..
? Then it will be
Let shear force be S
? ?=S/(bxd)
d
b
S
Shear Stresses In Beams 
? Shear stresses are usually maximum at the
neutral axis of a beam (always if the
thickness is constant or if thickness at
neutral axis is minimum for the cross
section, such as for I-beam or T-beam ), but
zero at the top and bottom of the cross
section as normal stresses are max/min.
NA
NA
NA
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