+1 vote
in Engineering Mechanics by (698k points)
In the calculations of the moment of inertia of the area about an inclined axis, we have some transformation done. They are:

(a) Iu = Ix cos2θ + Iysin2θ – 2Ixycosθsinθ

(b) Iv = Ixcos2θ + Iysin2θ – 2Ixycosθsinθ

(c) Iu = Ixcos2θ + Iysin2θ – 2Ixycosθsinθ

(d) Iv  = Ixcos2θ + Iysin2θ + 2Ixycosθsinθ

I had been asked this question during an online interview.

This interesting question is from Moments of Inertia for an Area About Inclined Axis in division Moments of Inertia of Engineering Mechanics

1 Answer

+1 vote
by (1.1m points)
selected by
Best answer
The correct option is (d) Iv  = Ixcos2θ + Iysin2θ + 2Ixycosθsinθ

The explanation is: In the moment of inertia calculations we see that the net force acts at the centroid of the loading body. That is if the loading system is in the form of the triangle then at the distance 2 by 3 of the base the net force of the loading will act. And the load will be half the area of the loading. Thus when there is the inclination of the axis, we use transformation.

Related questions

Welcome to TalkJarvis QnA, a question-answer community website for the people by the people. On TalkJarvis QnA you can ask your doubts, curiosity, questions and whatever going in your mind either related to studies or others. Experts and people from different fields will answer.

Most popular tags

biology – class 12 biology – class 11 construction & building materials chemistry – class 12 electronic devices & circuits network theory data structures & algorithms ii cell biology computational fluid dynamics engineering physics i discrete mathematics chemistry – class 11 aerodynamics casting-forming-welding i engineering mathematics operating system casting-forming-welding ii engineering drawing mysql engineering geology digital circuits wireless mobile energy management electrical measurements digital communications cyber security analytical instrumentation embedded systems electric drives computer fundamentals basic civil engineering advanced machining iot design of electrical machines physics – class 12 applied chemistry dairy engineering basic chemical engineering cloud computing cytogenetics bioinformatics aircraft design aircraft maintenance software engineering drug biotechnology digital signal processing biochemistry data structures & algorithms i automotive engine design avionics engineering material & metallurgy energy engineering cognitive radio unix electrical machines biomedical instrumentation object oriented programming electromagnetic theory analog communications bioprocess engineering civil engineering drawing engineering metrology physics – class 11 mathematics – class 12 engineering chemistry i basic electrical engineering unit processes mongodb cryptograph & network security hadoop mathematics – class 11 engineering physics ii html control systems engineering mechanics antennas analog circuits computer network java sql server javascript concrete technology chemical process calculation artificial intelligence design of steel structures c++ database management computer architecture engineering chemistry ii corrosion engineering chemical technology dc machines automata theory digital image processing r programming matlab rdbms compiler aircraft performance aerospace materials & processes