At a fabrication temperature of 16°C, steel tubes in a boiler measure 2.500 m. When the boiler is fired up, its operating temperature reaches 250°C. Determine by how much the steel tubes will expand if they are not restrained.

By inspection, determine the zero-force members in each truss. Identify the zero-force member by placing an “X” through that member. If you need to do this iteratively, and redraw the truss without the zero-force members you have already found, you may do so.

Please show your solution on a paper with FBD

The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 61 GPa] with a cross-sectional area of A₁ = 810 mm². Bar (2) is a bronze alloy [E = 103 GPa] with a cross-sectional area of A2 = 470 mm². Assume L₁=2.4 m, L₂=3.1 m, a=0.7 m, b=1.9 m, and c= 1.1 m. All bars are unstressed before the load P is applied; however, there is a 5.8-mm clearance in the pin connection at A. If a load of P = 44 kN is applied at B, determine: (a) the normal stresses 0₁, 0₂, in both bars (1) and (2). (b) the normal strains &1, 82, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. A Answers: (a) 0₁ = (STVA = a i i B 156.10 0.00256 b C MPa, 0₁ = με, €2 = mm L2 i i D 20.75 0.0002014 MPa. με.

The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 79 GPa] with a cross-sectional area of A₁ = 700 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A₂ = 480 mm². Assume L₁=1.8 m, L₂=2.1 m, a=0.5 m, b=1.6 m, and c=0.8 m. All bars are unstressed before the load P is applied; however, there is a 3.4-mm clearance in the pin connection at A. If a load of P = 53 kN is applied at B, determine: (a) the normal stresses 01, 02, in both bars (1) and (2). (b) the normal strains 1, 2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. (1) A Answers: (a) σ₁ = (b) 1 (c) VA = i a L₁ B b (2) L2 MPa, 0₁ = με, €2 = mm. i i D MPa. με.

4 ft |←— 3 ft — Aluminum E = 10 x 106 psi W 6 ft- FIG. P2.96 6 ft Steel E = 29 × 100 psi 1.0 ft

P(kN) 53 A 3 3 find S1,52,53,54, S5 Rod forces.indicate that they are tensile or pressure.Write the results you found in the table below. www ww wm w w ROD FORCE TENSİLE/PRESSURE NUMBER S1 S2 S3 S4 S5 5u

Please answer with a complete solution. Thank you! The roof truss is supported by a hinge at A and a horizontal roller support at B. The wind loads are perpendicular to BC. Determine the reactions at A and B.

Please show a detailed solution and explanation including its FBD. Thank you!

A simply supported beam, circular in cross section, of span L supports a point load W at mid span. The length of elastic-plastic zone at the plastic hinge will be A 0.33 L B 0.41 L C 0.50 L D 0.58 L