When a shaft is subjected to a torque or twisting a shearing stress is produced in the shaft. The shear stress varies from zero in the axis to a maximum at the outside surface of the shaft. the “Polar Moment of Inertia of an Area” is a measure of a shaft’s ability to resist torsion.
When a solid shaft is subjected to torsion the shear stress induced in the shaft at its centre will be?
Hence the maximum shear stress occurs on the outer surface of the shaft where r = R and at the centre the shear
stress is zero
.
What is torsional shear stress?
Torsional shear stress or Torsional stress is
the shear stress produced in the shaft due to the twisting
. This twisting in the shaft is caused by the couple acting on it.
When the shaft is subjected to pure torsional moment the torsional stress is given by?
When the shaft is subjected to pure torsional moment, the torsional stress is given by? Solution: Explanation:
Stress=Mr/J where r=d/2 and J=πd4/64
.
When a circular cross-section solid shaft is subjected to a twisting moment the shear stress induced at the Centre is?
Explanation: The shear stress is zero at the axis of the shaft and the shear stress is
linearly increasing to the maximum value at the surface of the shaft
.
What is torsion of circular shaft?
1. Mechanics of Solid Members subjected to Torsional Loads Torsion of Circular Shafts: Consider a shaft rigidly clamped at one end and twisted at the other end by a
torque T = F.d applied in a plane perpendicular to the axis of the bar
such a shaft is said to be in torsion.
How is torque related to shear stress?
Torque on a shaft
causes shear stress. The torsion, or twist, induced when torque is applied to a shaft causes a distribution of stress over the shaft’s cross-sectional area. ... Shear stress depends on the applied torque, the distance along the radius of the shaft, and the polar moment of inertia.
What is torsional stress formula?
|
Parameter Symbol Equation
|
Shear stress
τ
τ=TpJ
|
Angle of twist θ θ=TLGJ
|
Maximum shear stress τ
max
τmax=Tc2J
|
Polar moment of inertia of solid shaft J J=π2(c42)
|
How is shaft torque calculated?
To calculate load torque,
multiply the force (F) by the distance away from the rotational axis
, which is the radius of the pulley (r). If the mass of the load (blue box) is 20 Newtons, and the radius of the pulley is 5 cm away, then the required torque for the application is 20 N x 0.05 m = 1 Nm.
What is torsional load?
The load that imparts the turning moment or the torque
.
When a shaft is subjected to a twisting moment every cross section of the shaft will be unde?
When a shaft is subjected to a twisting moment every cross section of the shaftwill
beundera tensile stress
. Tensile stress – Tensile stress is defined as the force per unit area induced in the body by response to externally applied force, which tends to stretch the body.
Which of the following are true for System of tolerance to the shaft and the hole?
4. Which of the following are true for system of tolerances to the shaft and the hole? Explanation:
As per the standards
.
What is torsional strength?
Measure of the ability of a material to withstand a twisting load
. It is the ultimate strength of a material subjected to torsional loading, and is the maximum torsional stress that a material sustains before rupture. Alternate terms are modulus of rupture and shear strength.
What is the consideration for design of the shaft?
Things to Check in a Shaft Design
Static stress
The shaft must withstand stress that results from applied loads and torque. This could also include the weight of attachments such as gears and flywheels. Deflection Excessive deflection can cause problems such as gear mesh.
When a shaft is subjected to torsion?
When a shaft is subjected to a torque or twisting a
shearing stress
is produced in the shaft. The shear stress varies from zero in the axis to a maximum at the outside surface of the shaft. the “Polar Moment of Inertia of an Area” is a measure of a shaft’s ability to resist torsion.
What is torsional section modulus?
Polar modulus is defined as
the ratio of the polar moment of inertia to the radius of the shaft
. It is also called as torsional section modulus. It is denoted by Z
p
.
What is circular shaft?
A shaft excavated as a cylinder
. The circular shaft is equally strong at all points; convenient for concrete lining and tubbing, both of which can be made relatively watertight; and offers the least resistance to airflow.
What is torsional stress in DNA?
Most genome transactions are favored by DNA (−) torsional stress, i.e.,
unconstrained unwinding or supercoiling of DNA
. ... Such DNA twist dynamics could be determined by chromatin architecture.
What is torsional strain in physics?
Torsional strain or eclipsing strain is
the increase in potential energy of a molecule due to repulsion between electrons in bonds that do not share an atom
.
What is the difference between shear stress and torsional stress?
Stress, σ, is defined as the force divided by the initial surface area,
σ=F/A
o
. This pulling stress is called tensile stress. ... Stress related to shear is torsional stress. If we hold one end of our cylinder fixed and twist the other end as shown in the figure below, we are applying a torsional (or twisting) stress.
What is torque in a shaft?
WHAT IS TORQUE? Shaft torque is
measured by a device that records the amount a shaft will twist under a certain amount of force
, and it’s recorded in degrees. A shaft with 3 degrees of torque will twist less than a shaft with 5 degrees of torque, and so on.
What is shaft torque in dc motor?
Shaft Torque of DC Motor
The torque in a DC motor which is available at the shaft of the machine for doing useful work is called as shaft torque (&tau
sh
).
Is torsion and torque the same?
Torque and torsion are
both related to turning effects experienced by a body
. The main difference between torque and torsion is that torque describes something that is capable of producing an angular acceleration, whereas torsion describes the twist formed in a body due to a torque.
What is torsional rigidity of shaft?
Torsional rigidity is also defined as
The torque required to produce a twist of one radian per unit length of the shaft
.
What is torsion example?
To turn on a gas, a burner knob is rotated. This rotation occurs when a twist or torsion force is applied by the person. Many other kitchen appliances make use of the similar twist force for their respective operations. For example,
turning on the knob of a mixer grinder
, increasing time period of a microwave, etc.
What is torsional effect?
Torsional effects may
significantly modify the seismic response of buildings
, and they have caused severe damage or collapse of structures in several past earthquakes. ... In ductile structures, the main consequence of floor twist is an unequal demand of lateral displacements in the elements of the structure.
What is a measure of the strength of shaft in rotation?
Explanation:
The polar modulus
is a measure of the strength of shaft in rotation. As the value of Polar modulus increases torsional strength increases.
Which of the following is true for hole and shaft basis systems?
Which of the following is not true for hole and shaft basis systems? Explanation:
Hole basis system is preferred
because it is easy to produce a shaft with specified tolerances than hole. In hole basis system, all tolerances are applied to shaft and hole size is taken as basic size.
What is bilateral tolerance?
Bilateral tolerance is the
term used when the tolerance zone is distributed from the target value or true profile in both directions
. Bilateral tolerances allow equal variation on each side of the target. ... The tolerance zone for this case can be visualized as the space between the two concentric arcs shown in blue.
Are produced when one end shaft twists relative to the other and on any cross-section?
When a torque is applied to a shaft, one end twists relative to the other end and each element in a cross-section is in
a state of shear
.
Which of the following assumptions are made in torsion theory?
Different assumptions made in torsion theory are as follows: 1)
Shaft must be straight and should have a uniform cross-section
. 2) The shear stress induced in the shaft should not exceed the elastic limit. 3) Twist along the shaft is uniform.
Which of the following is incorrect about tolerance?
Which of the following is incorrect about tolerances? Explanation:
Loose tolerance results in increase in cost, assembly problems and poor performance of the product
. Tight tolerance results in unnecessary machining and inspection time.
