Rigid bar ABC is supported by member (1), which has a cross-sectional area of 0.7 in.², an elastic modulus of E = 10300 ksi, and a coefficient of thermal expansion of a = 12.0 x 10-6/°F. Assume that a = 105 in., b = 50 in., and c = 160 in. After load P is applied to the rigid bar and the temperature rises 50°F, a strain gage affixed to member (1) measures a strain increase of 1980 με. Determine the magnitude of applied load P. Note: Assume the strain measuring system does not automatically compensate for temperature changes.

After load P is applied to the pin-connected structure, a normal strain of = +650 µe is measured in the longitudinal direction of member (1). The cross-sectional area of member (1) is A₁ = 0.6 in.2, its elastic modulus is E₁ = 31000 ksi, and its yield strength is 33 ksi. Assume a=6.25 ft, b=7.75 ft, c=4.5 ft, and d=3.75 ft. (a) Determine the axial force in member (1), the applied load P, and the resultant force at pin B. (b) The ultimate shear strength of the steel pins is 52 ksi. Determine the minimum diameter for the pin at B if a factor of safety of 2.2 with respect to the ultimate shear strength is required. (c) Compute the factor of safety for member (1) with respect to its yield strength. (1) a D Answer: 0₁ = 1.6377 B (a) Determine the axial stress o, in member (1). ksi. b

For the state of a plane strain with Ex, Ey and yxy components: (a) construct Mohr's circle and (b) determine the equivalent in-plane strains for an element oriented at an angle of 30° clockwise. Ex = 250 x 10-6 Ey = 310 x 10-6 Yxy = -100 × 10-6

Using the equations of strain in isotropic elasticity, find the stress tensor that cause the following strain state determined from an experiment (material has Young’s modulus of 190 GPa): ?? = 0.001    0.001    0        0.001 −0.002    0.0005        0        0.0005    0shear moduli is 70GPa.

An aluminum alloy [E = 70 GPa; v = 0.33; a = 23.0x10-6/°C] pipe is subjected to a tensile load P. The pipe has an outside diameter of D = 280 mm, a cross-sectional area of A = 7550 mm², and a length of L = 9.5 m. The initial longitudinal normal strain in the pipe is zero. After load P is applied and the temperature of the pipe has been increased by AT = 40°C, the longitudinal normal strain in the pipe is found to be 2260 με. Calculate the magnitude of load P. Answer: P = M. L kN D P

A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m experiences a stress of 600 MPa when placed under tension. If the material used for the truss tie-rod has a Young's Modulus, E, of 5.8 x 1011 N/m?, calculate: (i) the tie-rod's extension in millimetres (mm); (ii) the strain energy (U) in Joules; and (ii) the strain energy per unit volume (U/V) in Joules per cubic metre (m³). Give your answers to two decimal places.

Please answer in proper units

A 45° strain gauge rosette placed on a stainless steel structure results in the following values being determined for the maximum and minimum principal strains: €1 = 1,625.9 ×10–6 and €2 = -753.4 x10-6. Assuming plane stess, determine the factor of safety against the Tresca criterion. For stainless steel, use Young's modulus E = 196 GPa, Poisson's ratio v = 0.29 and yield stress oy = 1120 M Pa. Give your answer to 2 decimal places.

pleae writte by hand step by step

A steel plate in a state of plane stress has e, = 240 µ, e, = 200 u and 7a = 100u Poisson's ratio v = 0.3 and the modulus of elasticity E=210GPA. Use this information to answer questions281 to 30. 28. The maximum principal strain in the plane is most nearly: (a) 215µ (c) 107µ (b) 220и (d) 328µ 29. The maximum principal stress in the plane is most nearly: (а) 69MPа (c) 57MPA (b) 75MPA (d) 77 MPa 30. The state of plane stress is made of a steel with oy = 90 MPa. If yield does not occur when using the maximum-distortion energy criterion the factor of safety is most nearly: (a) 0.53 (c) Yield occurs (b) 1.06 (d) 1.88