Graduate Structural Engineer average salary is $54,076, median salary is $55,000 with a salary range from $39,189 to $70,500.Graduate Structural Engineer salaries are collected from government agencies and companies.Each salary is associated with a real job position.raduate Structural Engineer salary is full-time annual starting salary. Intern, contractor and hourly pay scale vary from regular exempt employee. Compensation depends on work experience, job location, bonus, benefits and other factors.