Determine the Euler Buckling axial compressive load of W 12 x 72 section having a length of L=48 ft and fixed ends, Pe=_____ kips. Assume that the column is made of A441 steel with E = 29 x 103 ksi, and assume that the normal stress generated by P is still within the elastic range of the material. Reminder: use the minimum moment of inertial of the cross section. Please calculate your answer to 1 decimal place. Lft Fixed end Fixed end

The steel strip has a uniform thickness of 50 mm. Compute the elongation of the strip caused by the 500-kN axial force. The modulus of elasticity of steel is 200 GPa. 1000 mm- 1000 mm 500 kN 500 kN 50 mm -120 mm 50 mm Match each item to a choice: Choices: # 1.345 mm # 1.356 mm # 0.6725 mm #0.678 mm 1.251 mm # 0.6253 mm

Determine the state of stress at point q. The pipe has an inner diameter of D₁ = 1.0 in and an outer diameter of = 1.8 in. Use the exact expression for Q, if needed. Label the reultant forces on the cross section below. Report your answer (3x3 matrix) in psi to one decimal place. Do 4 in. Y 4 in. 150 lb 6 in. 50 lb 10 in. 200 lb 150 lb X N Y

5. Two C310x45 channels are latticed together so they have equal moments of inertia about the principal axes. Determine the minimum length of column having this section, assuming pinned ends, E = 200 GPa, and a proportional limit of 240 MPa. What safe load will the column carry for the length of 12 m with a factor of safety of 2.5? For C310x45, take I = 67.3x10-6 m4 %3D Ans L = 9.89 m, F = 738 kN

A rod has a solid circular cross section with a diameter of 40 mm is subjected to the shown loads. Determine the state of stress at point A. OX= Ixy = Given: The area moment of inertia of a solid circular cross section about its neutral axis is INA = (TR4)/4. The polar moment of inertia of a solid circular cross section about its neutral axis is JNA = (TR4)/2. The centroid of a semi-circle is located at 4R/(3n) from the horizontal axis representing the diameter line. 1500 N -37 Mpa 64 Mpa 3.5 Mpa 7.3 Mpa 600 N 37 Mpa -7.3 Mpa 300 mm 100 N·m 800 N 100 mm B

The column shown is fabricated from two C250 x 30 standard steel shapes (see Appendix B for its cross-sectional properties) that are oriented back-to-back with a gap of 33 mm between the two channels. The column is fixed at its base and free to translate in the y direction at its upper end. Translation in the z direction, however, is restrained at its upper end. A load P is applied at an offset distance of 430 mm from the channel flanges. Use the AISC equations given in Section 16.5, and assume that L = 4.1 m, s = 33 mm, E = 200 GPa, oy = 275 MPa, and (Gallow); = 145 MPa. Offset - distance e P Lateral bracing in z direction C250 x 30 L C250 x 30 Cross section.

Bar (1) has a cross-sectional area of 0.75 in.2. If the stress in bar (1) must be limited to 49 ksi, determine the maximum load P that may be supported by the structure. D A 6 ft 16.02 kips O 26.21 kips 29.85 kips 22.05 kips 23.48 kips B (1) 4 ft

The wing spar ABD of a light plane is made from 2014-T6 aluminum and has a cross- sectional area of 800 mm², a height of 79 mm, and a moment of inertia about its neutral axis of 1.07(106) mª. Assume A, B, and C' are pins. The neutral axis passes through the cross-section at half of its height. Connection is made along the central longitudinal axis of the spar. The anticipated loading is to be as shown. (Figure 1) Determine the absolute maximum bending stress in the spar. 0.6 m 14.4 kN/m 0.9 m B -1.8 m-

The answer must be wn= sqrt(3g/5b). Solve this without the application of Moments please.

Use Castigliano's theorem to determine the deflection of point B in the direction of the force FB = 14 lbf for the steel bar (E = 31.8x106 psi, G = 12.5x106 psi) shown with dimensions of d = 0.5 inch, LOA = 14.2 inch, and Lab = 6.8 inch. Enter answer in units of inches and round to 3 decimal places. d LOA FB LAB