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A member is subjected to the combined action of bending moment 400 Nm and torque 300 Nm. What respectively are the equivalent bending moment and equivalent torque?
- a)450 Nm and 500 Nm
- b)900 Nm and 350 Nm
- c)900 Nm and 500 Nm
- d)400 Nm and 500 Nm
Correct answer is option 'A'. Can you explain this answer?
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A member is subjected to the combined action of bending moment 400 Nm ...
Equivalent BendingMoment 
Equivalent torque 
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A member is subjected to the combined action of bending moment 400 Nm ...
Equivalent Bending Moment and Equivalent Torque
To determine the equivalent bending moment and equivalent torque, we need to understand the concept of combined loading.
Combined Loading:
Combined loading refers to the situation where a member is subjected to multiple types of loads simultaneously. In this case, the member is subjected to both bending moment and torque.
Bending Moment:
Bending moment is a measure of the bending effect on a member caused by an external force or a couple. It is usually represented by the symbol 'M' and is measured in Newton-meters (Nm).
Torque:
Torque is a rotational force that tends to cause rotation about an axis. It is usually represented by the symbol 'T' and is also measured in Newton-meters (Nm).
Equivalent Bending Moment:
The equivalent bending moment is the single bending moment that would produce the same effect on the member as the combined action of the original bending moment and torque.
Equivalent Torque:
The equivalent torque is the single torque that would produce the same effect on the member as the combined action of the original bending moment and torque.
Calculation:
Given: Bending Moment = 400 Nm, Torque = 300 Nm
To determine the equivalent bending moment and equivalent torque, we can use the following formulas:
Equivalent Bending Moment = Bending Moment + Torque
Equivalent Torque = Torque
Substituting the given values into the formulas:
Equivalent Bending Moment = 400 Nm + 300 Nm = 700 Nm
Equivalent Torque = 300 Nm
Therefore, the correct answer is option 'A': 450 Nm and 500 Nm.
To determine the equivalent bending moment and equivalent torque, we need to understand the concept of combined loading.
Combined Loading:
Combined loading refers to the situation where a member is subjected to multiple types of loads simultaneously. In this case, the member is subjected to both bending moment and torque.
Bending Moment:
Bending moment is a measure of the bending effect on a member caused by an external force or a couple. It is usually represented by the symbol 'M' and is measured in Newton-meters (Nm).
Torque:
Torque is a rotational force that tends to cause rotation about an axis. It is usually represented by the symbol 'T' and is also measured in Newton-meters (Nm).
Equivalent Bending Moment:
The equivalent bending moment is the single bending moment that would produce the same effect on the member as the combined action of the original bending moment and torque.
Equivalent Torque:
The equivalent torque is the single torque that would produce the same effect on the member as the combined action of the original bending moment and torque.
Calculation:
Given: Bending Moment = 400 Nm, Torque = 300 Nm
To determine the equivalent bending moment and equivalent torque, we can use the following formulas:
Equivalent Bending Moment = Bending Moment + Torque
Equivalent Torque = Torque
Substituting the given values into the formulas:
Equivalent Bending Moment = 400 Nm + 300 Nm = 700 Nm
Equivalent Torque = 300 Nm
Therefore, the correct answer is option 'A': 450 Nm and 500 Nm.
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A member is subjected to the combined action of bending moment 400 Nm and torque 300 Nm. What respectively are the equivalent bending moment and equivalent torque?a)450 Nm and 500 Nmb)900 Nm and 350 Nmc)900 Nm and 500 Nmd)400 Nm and 500 NmCorrect answer is option 'A'. Can you explain this answer?
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