Thankyou very much the circuit. I simulated the circuit and it is working fine. But few concerns raised by my colleagues before inserting the actual hardware.
a. you cannot simulate a sensor using power source. is it correct?
Not correct. If the sensor is the kind that puts out a range of voltages, like yours puts out -4V to +4V per its data sheet, then for simulation you can use a voltage source that goes from -4V to +4V and it will be a good simulation. If the data sheet specifies a source impedance for the sensor, then you can add that to simulation. Yours just said that as long as the load impedance was greater then 1.5K, then it could be considered a voltage source...
b. we cannot connect external power source across a sensor. we should only read voltage from sensor.
If you are talking about "biasing" the output of the sensor as in using the the +24V supply and the resistors to shift the signal from being centered at zeroV to +2V as in the two networks I posted, then that will not damage the sensor.
c. any current going inside the sensor will damage the sensor. since some current is flowing inside sensor it will damage. please help.
see above. same answer.
Looking at the data sheet, the sensor has an (opamp) buffered output, with adjustable gain and offset. It will not care if asked to drive an offset current of a couple of mA.
I see that it operates from +15V and -15V, so if you are going to build your own offset circuit, you should be using these supplies to shift the output; not the 24V supply which is likely very dirty...
I notice that the maker of the sensor can sell you one with a unidirectional output. Why not just buy the correct sensor from them in the first place? Also ask what is the range of "zero" and "gain" pots. It maybe that you can shift the output by just moving the pots.