At a point in a structural-steel member, the stresses are σxx = 15 MPa, σyy = 0 MPa, σzz = 30 MPa, σxy = 0 MPa, σxz = 45 MPa, and σyz = 0 MPa. Determine the largest principal stress σ1.

An aluminum rod with a 23.5-in. gage length and a 0.695-in. diameter is loaded in tension. At the proportional limit, a load of 20,000 lb elongates the gage length by 0.154 in. and reduces the diameter by 0.0013 in. Determine the modulus of elasticity.

A tensile test specimen of 1045 hot-rolled steel having a diameter of 0.505 in. and a gage length of 2.00 in. was tested to fracture. Stress and strain data obtained during the test are shown. Note that the “Lower scale” is a zoomed-in portion of the Upper scale. Determine the modulus of elasticity.

A brittle material has an ultimate strength of 420 MPa. A member made of this material is subjected to its design loads. At the critical point in the member, the nonzero stress components are as follows. Determine the factor of safety used in the design based on the maximum principal stress criterion.σxx = 60 MPaσyy = 110 MPaσxy = 70 MPa

The nonzero strain components at a critical point in a machine component made of AISI-C 1040 normalized steel [E = 200 GPa, ν = 0.29] are measured on a free surface as follows. Determine the corresponding shear stress τxy.εxx = 0.0032εyy = 0.0013εxy = 0.0010

At a critical point in a machine part, the nonzero stress components are as follows. The yield strength of the material is Y = 320 MPa. Determine the factor of safety used in the design based on the maximum shear-stress criterion.σxx = 90 MPaσyy = 80 MPaσxy = 70 MPa

The nonzero strain components at a critical point in a machine component made of 7075-T6 aluminum [E = 72 GPa, ν = 0.33] are measured on a free surface as follows. Determine the corresponding octahedral shear stress τoct.εxx = 0.0023εyy = 0.0014εxy = 0.0014

The nonzero strain components at a critical point in a machine component made of AISI-C 1018 cold drawn [E = 200 GPa, ν = 0.29] are measured on a free surface as follows. Determine the corresponding shear stress τxy.εxx = 0.0034εyy = 0.0014εxy = 0.0008

The nonzero strain components at a critical point in a machine component made of AISI-C 1030 normalized steel [E = 200 GPa, ν = 0.29] are measured on a free surface as follows. Determine the corresponding shear stress τxy.εxx = 0.0034εyy = 0.0008εxy = 0.0013

A steel rod with a 1.25-in. gage length and a 0.140-in. diameter is loaded in tension. At the proportional limit, a load of 1,000 lb elongates the gage length by 0.00246 in. and reduces the diameter by 0.000074 in. Determine the modulus of elasticity.