Advanced Solid Mechanics (Solid Mechanics II)

Use this for “The stress tensor is [[50, 20, 10], [20, −10, 10], [10, 10, 30]] MPa. Find I₁, I₂ and I₃.”

Use this for “The principal stresses are 65, 15 and −30 MPa. Find the octahedral normal and shear stresses.”

Use this for “A 45° rosette reads εₐ = 600 με, εb = 300 με and εc = −200 με. Find γₓᵧ and the principal strains.”

Use this for “Steel has E = 200 GPa and ν = 0.3. Find its shear modulus, bulk modulus and Lamé constant λ.”

Use this for “A long steel part is held so εz = 0. With σₓ = 100 MPa, σᵧ = 50 MPa and ν = 0.3, find σz.”

Use this for “A triangular truss spans 8 m with a 3 m rise and carries 10 kN at the apex. With A = 1000 mm² and E = 200 GPa, how far does the apex drop?”

Use this for “A 100 N weight drops 50 mm onto the collar of a 1 m steel bar of 100 mm². What are the peak stretch and stress?”

Use this for “The principal stresses are 80, 20 and −40 MPa in steel that yields at 300 MPa. Find σᵥₘ, σ₁ − σ₃ and both safety factors.”

Use this for “A cylinder 50 mm inside and 100 mm outside in radius holds 50 MPa. Find the hoop stress at the bore and both stresses 75 mm from the axis.”