Washington ? The military plans to screen all troops who serve in Iraq and Afghanistan for post-traumatic stress disorder and other combat-related health problems within three to six months after they return home, the Pentagon’s chief health official said Tuesday.

The Pentagon plans to spend nearly $100 million to make sure all returning troops take part in the program and get help if they need it, said Dr. William Winkenwerder Jr., the assistant secretary of defense for health affairs.

“At some point, we hope to touch everybody who’s deployed who hasn’t separated from the service,” Winkenwerder said in testimony to the House Armed Services Subcommittee on Military Personnel.

Since at least the beginning of the Iraq war, service members routinely have been asked to complete a questionnaire before they come home that’s designed to identify such problems as post-traumatic stress, depression and substance abuse. This would be the first time a follow-up survey was used to find problems from combat exposure that don’t surface until weeks or months later.

The intent of the survey, Winkenwerder said, is to make sure that troops are able to readjust in a healthy way.

“We literally want to reach out and say, ‘How are you doing? How are things going? How are things at home? Is there anything we can do to help you?”‘ he said.

In an image released by the U.S. military, Capt. Ryan Keys, from Lisbon, Maine, mourns the death of Staff Sgt. Jorge Pena Romero on July 20 in Baghdad, Iraq. Pena was killed when his vehicle struck an improvised explosive device on July 16 in the Abu Ghraib area of Baghdad. The military is working to recognize post-traumatic stress and other combat-related stress disorders in returning servicemembers.

An Army study made public last week found that at least 10 percent of service members surveyed in Iraq last year reported experiencing post-traumatic stress disorder or other acute mental problems. A study reported last year in the New England Journal of Medicine found that 16 percent of all troops who served in Iraq and Afghanistan experience post-traumatic stress disorder, severe depression or anxiety, but most didn’t seek medical care for fear of being stigmatized.

Dr. Michael Kussman, the deputy undersecretary for health at the Department of Veterans Affairs, said 24,000 veterans from Iraq and Afghanistan had been diagnosed with mental health problems due to their combat experiences. More than 14,000 have sought treatment at VA medical centers for mental disorders or drug and alcohol problems related to their combat experiences, he said.

Winkenwerder, Kussman and other officials from the military services said the military had come a long way in recent decades in recognizing and treating post-traumatic stress disorder and other combat-related mental disorders, but that more outreach was needed to let service members know that these problems were normal after exposure to combat and that it was OK to seek care.

Vice Adm. Donald C. Arthur, the Navy’s surgeon general, noted that the military services “value mental toughness,” which is necessary to survive combat but which also makes it difficult for people to admit they’re having problems afterward.

“So I think it’s up to the leadership to say, ‘I’ve been affected, it’s OK. I’ve gone to counseling’ or in some other way set the example that it really is OK,” Arthur said.

Lt. Gen. Kevin C. Kiley, the Army’s surgeon general, told the committee that as many as 19 percent of soldiers who served in Iraq or Afghanistan have reported severe stress, depression or anxiety within six months after returning home.