Yes. Put the memory in slots B1, B2, A1, A2 (1, 3, 2, 4).

http://downloads.dell.com/Manuals/all-products/esuprt_ser_stor_net/esuprt_poweredge/poweredge-t310_Owner%27s%20Manual_en-us.pdf

Looking at the documentation the above might not work because these DIMMs are 1333Hz whereas only 1066Hz is supported for Registered 8GB capacity:

7.2 DIMMs Supported

The following DIMMs are supported:

Unbuffered, DDR3 1066 1GB DIMM, Single Rank

Unbuffered, DDR3 1333 1GB DIMM, Single Rank

Unbuffered, DDR3 1066 2GB DIMM, Dual Rank

Unbuffered, DDR3 1333 2GB DIMM, Dual Rank

Unbuffered, DDR3 1066 4GB DIMM, Dual Rank

Unbuffered, DDR3 1333 4GB DIMM, Dual Rank

Registered, DDR3 1066 1GB DIMM, Single Rank

Registered, DDR3 1333 1GB DIMM, Single Rank

Registered, DDR3 1066 2GB DIMM, Dual Rank

Registered, DDR3 1333 2GB DIMM, Dual Rank

Registered, DDR3 1066 4GB DIMM, Quad Rank

Registered, DDR3 1066 8GB DIMM, Quad Rank

So, modules marked with ranks 4Rx4 or 4Rx8 PC3-8500R would work in this case unless the specs and docs have changed for newer model releases. Can you confirm your Rank and whether the PC3-10600R 8GB worked on your T310?

Unless the system automatically adjusts them from 1333Hz to 800Hz like in some cases.

Table 9. Memory Support: R-DIMM

R-DIMM DDR3 ECC

System Capacity: 32G
DIMM Speed: 1066
DIMM Capacity: 8G
# of DIMMs: x4
System Speed: 800

Another post regardign RAM upgrade problems for T310:

https://community.spiceworks.com/topic/246785-the-joys-of-memory-upgrades-for-poweredge-t310?page=1#entry-7577880

So 4 sticks of 8gb 2rx4 won't POST?

So I went all in and bought 4x 8GB Kingston. KVR1066D3Q8R7S/8GI

I get the choice of 24GB Recognised if 3 sticks installed or 16GB with 4 sticks installed.  Tried reseating,  putting in different order and reseating the CPU. I am at a loss! Please help!

Hi, TehForgotten could you please tell us what issues you are facing? What is not working?

Sorry for the massive delay, I must have missed the reply notification. Only 3 of 4 sticks are recognised. So only 24 of 32gb,

4 identical sticks.

I shuffled the RAM I definitely have 1 dead stick. All ports read other 3 sticks. Before I buy another, can you confirm that 4x8GB Kingston KVR1066D3Q8R7S  will give me the 32GB I an seeking? BIOS V1.14.0