Compute the deformation in member 1 which is solid alumnim with a area of 214159 mm^2
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- The cantilever beam consists of a rectangular structural steel tube shape [E = 200 GPa; I = 450 × 106 mm4]. Assume P = 50 kN, w = 10 kN/m, LAB = 1.00 m, and LBC = 2.00 m. For the loading shown, determine:(a) the beam deflection at point A.(b) the beam deflection at point B.Determine the component of the beam deflection at point A due to only the uniformly distributed load of w = 10 kN/m.Answer: vA,w = mm. Part 2 Determine the component of the beam deflection at point B due to only the concentrated load of P = 50 kN.Answer: vB,P = mm. Part 3 Determine the component of the rotation angle of the beam at point B due to only the concentrated load of P = 50 kN.Answer: θB,P= rad. Part 4 Determine the component of the beam deflection at point A due to only the concentrated load of P = 50 kN.Answer: vA,P = mm. Part 5 Determine the total beam deflection at point A due to the combined effects of the concentrated…A flooring system consist of I-beam sections spaced at 3 m(center to center) and with simple spans of 6 m. The beams support a 200 mm thick slab. The flooring system is designed for a live load of 2400 N/m² as well as ceiling load of 750 N/m². The properties of the I-beam sections are : d = 352 mm, weight of beam = 440 N/m, moment of inertia , Ix = 0.0012 m⁴. Consider Fy = 248 MPa, E = 200000 MPa and wt. of concrete of 24 kN/m³. 1. Which of the following most nearly gives the uniform pressure acting on the slab? a. 6.2 kPa b. 7.95 kPa c. 5.2 kPa d. 6.10 kPa 2. Which of the following most nearly gives the total uniform load on the beam in kN/m? a. 19.71 kN/m b. 17.82 kN/m c. 24.29 kN/m d. 28.14 kN/m 3. Which of the following most nearly gives the initial stress on the beam due to deadload only assuming no shoring during construction? a. 12.1 MPa b. 8.91 MPa c. 10.4 MPa…A concrete rectangular column with dimensions A= 420mm and B= 580 mm (See figure below) is braced against side sway. The column is to be fixed on both ends for bending about the Y-axis and to be pinned on both ends for bending about the X-axis. The unsupported length is 7.7 meters. Use f'c=35 MPa. Reinforcements are along "B" only. The column is subjected to the following service loads: Axial Dead Load =400 kN Axial Live Load=650 kN Moment about the X-axis due to Dead Load on the top of the column = 151 kN-m Moment about the Y-axis due to Dead Load on the top of the column = 138 kN-m Moment about the X-axis due to Live Load on the top of the column = 165 kN-m Moment about the Y-axis due to Live Load on the top of the column = 140 kN-m Moment about the X-axis due to Dead Load on the bottom of the column = 140 kN-m Moment about the Y-axis due to Dead Load on the bottom of the column = 131 kN-m Moment about the X-axis due to Live Load on the bottom of the column = 162 kN-m Moment…
- A round aluminum alloy rod has a diameter of 12.5 mm and 1 m length. Its ultimate strength is 155 MPa and its modulus of elasticity is 70 GPa. Determine the maximum permissible axial load that may be applied if the total elongation of the member is not to exceed 2 mm. Calculate the diameter change if Poisson’s ratio=0.35.I need answer ASAP. Thank u! STR 2 for the tapering of circular cross section which is subjected to point loads as shown. The section AB has a uniform diameter of 60mm and for the section CD, the uniform diameter is 300mm. Determine the load P3 for equilibrium and net change in length of bar. for Take modulus of elasticity of the bar material as E = 200 GPa. Determine the load P for equilibrium. Determine the net change in length of bar.: An aluminum tube of length 9.78(m) is used as column (fixed at both ends) carrying an axial load of 1303.674 (N). If the outer diameter of the tube is 58.68(mm),compute the inner diameter that would provide a factor of safety of 2 against buckling. Use E = 70 GPa for aluminum.
- A concrete circular column with a radius of 350mm has f'c=25 MPa and is braced against sidesway. The column is assumed to be pinned on both ends with an unsupported length is 6.1meters. The column is subjected to the following service loads: Axial Dead Load =350 kN Axial Live Load=480 kN Moment due to Dead Load on the top of the column = 125 kN-m Moment due to Dead Load on the bottom of the column = 60 kN-m Moment due to Live Load on the top of the column = 122 kN-m Moment due to Live Load on the bottom of the column = 75 kN-m. If the moments bent the column in a singular curve, determine the following: 1. Critical Load on the column, kN 2. Moment Magnifying factor 3. Design Moment of the column, kN-mA solid brass [E = 109 GPa] axial member is loaded and supported as shown. Segments (1) and (2) each have a diameter of 27 mm and segment (3) has a diameter of 13 mm. Assume L1 = 1.8 m, L2 = 1.0 m, L3 = 1.7 m, R = 38 kN, Q = 14 kN, and P = 24 kN. Determine:(a) the deformation of segment (2). (b) Determine the axial deformation of section (2). (c) Determine the axial force in section (1) and section (3). (d) Determine the deflection of joint D (positive if downward) with respect to the fixed support at A. (e) Determine the maximum normal stress in the entire axial member. Give answer in MPa.A simply supported beam with span of 6.5 m is subjected to a counterclockwise moment at the left support and a clockwise moment at the right equal to 30% of the moment at the left support, both acting in the plane of the minor axis of the beam. The beam is not restrained against lateral buckling. The beam is A36 steel with yield strength Fy = 248 MPa. Properties for this problem are: rT = 0.053 m d = 0.60 m bf = 0.200 m tf = 0.015 m S = 0.00211 m3 Determine the allowable flexural stress in the compression flange, in MPa. Determine the maximum value of the moment at the left support, in kN-m.
- A steel structural member is to be used as a column 5 m long. The column is to be pinned at both ends for bending about X-X axis and fixed at one end and pinned at the other for bending about Y-Y axis. The properties of the member section are as follows:E= 200 GPa, yield stress= 350 MPa, Ixx = 222 x 106 mm4, Iyy = 72.71x106 mm4 and A= 12.33 x 103 mm2Using Perry-Roberston equation, calculate the buckling stress and the corresponding loadThe compound axial member shown consists of a 20-mm-diameter solid aluminum [E = 70 GPa] segment (1), a 24-mm-diameter solid aluminum segment (2), and a 16-mm-diameter solid steel [E =200 GPa] segment (3). Determine the displacements of points B, C, and D relative to end A.For the following cross section determine: a) Iz and Iy b) Yield and plastic moments (My and Mp) for bending about z axis only c) Shape factor for bending about the z axis only d) The moment that causes yielding to extend 30 mm into the section from the top flange and bottom flange into the web (bending about z axis only) Given:E = 200 GPa, σy = 400 MPa