Mr Day's wife, Zoe Day, said her husband was a "great man" who was "respected by all his friends and family".
She said she had been due to meet him that day for their son's local rugby game but at about 15:00 BST she took a call from her uncle asking about an accident at the steel works.
After "frantically ringing around" his friends, Mrs Day found out her husband had been crushed.
"I didn't know what to do with myself," she said, adding that, soon after, one of Mr Day's friends pulled up in a car.
"He just shook his head and I realised then that Justin had been killed."
The couple, who had been together for 24 years, shared a "beautiful family and a granddaughter", Mrs Day said, describing her husband as "just a typical family man, a grafter and a gentle giant".
She said as a family it was hard to find closure.
"It's changed me as a person completely. I'll never be the same person, the Zoe that was married to Justin and happy.
"It's gone on for nearly six years now and we just want closure, it's been extremely hard.
"Our lives were absolutely shattered and they are still shattered now, it doesn't get easier at all."
Mrs Day said she was "disgusted" with Tata Steel, claiming there had not been "any emotional support or anything or counselling, not even a letter or a phone call" from the company.
She said: "There are loads of stories, loads of memories, lots of good good times, unfortunately they all came to an end.
"He went to work and he never came home to his family."
Speaking after the hearing, Gethyn Jones, HSE lead inspector, said he was pleased Tata had pleaded guilty to the charges.
He added: "This has been a very high-profile case. A man got up in the morning, went to work, and never returned home to his family.
"It's a tragedy. The message for us is the human cost. At the end of the day, a family lost a loved one, irrespective of the legal proceedings today."
A spokesperson for Tata Steel UK said: "We wish to express again our sincere condolences to Mr Day's bereaved family, friends and workmates."
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