The beam, which is made of a W250x28 profile (1=39.9x106 m4) has a constant distributed load w = 1 kN/m, length L₁ = 6 m, elastic modulus E₁ =200 GPa, and is supported by the fixed wall at B and the rod connected at L₁/2. If the rod has a cross sectional area of 104 m², lenght L2 = 3 m and the material has a modulus of elasticity E2-70 GPa, determine the force in the rod. T L2 W C Lu L1/2 B
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- An aluminum rod is hanging from one end. The rod is 1 m long and has a square cross section 20 mm by 20 mm. Find the extension of the rod resulting from its own weight. Take E = 70 GPa and the unit weight = 27 kN/m3.This course EHide blocks A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.6 mm. Given: E (wire B) = 70 Gpa, E (wire C) = 200 Gpa and both wires have a diameter D = 2 mm. Consider a linear elastic behavior. 2 m 1.5 m B A 3 m 2 m 2 m Select one: OP= 573 N OP=130 NThe steel box wrench (E=29,000ksi, v=0.32) is loaded with a 40-lb horizontal force and a 25-lb vertical force. Find the following for an element located at point B on Section a-a: 24 in. 1. The non-vanishing resultant internal moments on section a-a are which of the following? 4 in. a. (160 i- 600 j+960 k)in · Ib b. (-160 i+600 j+960 k ) in · lb c. (-960 i+160 j+600 k)in - lb d. (-960 i -160 ј-600 k)in-lb a e. none of the above 2. The normal and shear force components on section a-a are: a. V, = 65lb;V, = 40lb; N¸ = 25lb b. V, = 0;V, =40lb; N, = 25lb c. V, = 64;V, = 25lb; N, = 40lb d. V, =0;V, =-40lb; N¸ = -25lb e. none of the above 3. The non-vanishing stress components at point B are: 0̟ =1.60; t =-4.89ksi; а. 0, =-4.89; 7 =3.60ksi; 0, = 2.50ksi; T, d. o, = 4.91ksi; t =-4.89ksi; b. с. =-4.89ksi; е. none of the above 4. The principal stresses at point B from most tensile to most compressive are: O1,02,0; =4.16,–0.8,–5.76 b. o,,0,,0, =5.76,0,–4.16 а. O1,02,0; =1.9,-2.45,-6.8 с. d.…
- A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.6 mm. Given: E (wire B) = 200 Gpa, E (wire C) = 70 Gpa and both wires have a diameter D = 2 mm. Consider a linear elastic behavior. 2 m 1.5 m C 3 m 2 m 2 m Select one: O P= 235 N O P= 471 N O P= 314 N P= 294 NA solid stepped bar is made of steel (E = 29 x 10³ ksi, v=0.25) and is fixed on both ends by rigid walls. if the resultant normal force in section AB is NAB=1 in section BC is Ngc = (R₁-27) lb, and in section CD is NCD= (RA+13) lb. =RAlb, for L-3 in, D-14 in, d-0.5 in. determine the reaction force R.[lb] (sign sensitive) dia=0 FBD B P1 dia=0 B dia=d L 3L P1 dia - D C dia=d P2 dia=0 Cr P2 L-31 - D D. R₁A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.3 mm. Given: E (wire B) = 200 Gpa, E (wire C) = 70 Gpa and both wires have a diameter D = 4 mm. Consider a linear elastic behavior. 2 m 1.5 m A B 3 m 2 m 2 m Select one: P = 157 N P = 314 N P = 235 N P = 294 N P = 471 N K
- A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.3 mm. Given: E (wire B) = 200 Gpa, E (wire C) = 70 Gpa and both wires have a diameter D=4 mm. Consider a linear elastic behavior. 2 m 1.5 m 3 m 2 m 2 m Select one: O P= 235 N OP= 294 N O P= 471 N P=157 NThe uniform 44 kN bar BC is supported by a pin at C and the aluminum wire AB. The cross-sectional area of the wire is 178.5 mm2. Assuming bar BC to be rigid, find the vertical displacement of B due to the weight of the bar. Use E = 71 GPa for aluminum. Anwer must be in mm.AB and CD rod rod are of the same sectional alloy and have the same A modulus of elasticity. The system is fixed at points A, C and E with a hinge connection. Find the value of the displacement (8) at point F with respect to the given. A = 301 (Cross-Sectional Area), E = 90871 B (Modulus of Elasticity), P = 18741 (Strength), x = 241, L1 = 151, L2 = o 247 and L3 = 90. X FE %3D %3D L2 L3
- The bars AB, CD and EF made of material with E=122 GPa and have a cross sectional area of 617 mm2. The beam ACE is subjected to the force P=86 N. Take L=1.4 m and d3596 mm. Answer the following questions D E 1/The force in the bar (AB)is ? 2) The forcein the bar(cD)is 2 3) The Porce in the bar CEF) is? 5 The stress inthe bar (A BJIS? 5) The stress int he bar cD)IS? 6) The stress inthe barcEFJ is? 2) The elongation inthe bar(AB)IS? 8) The e longation inthe bar Ef)iS?A metal bar is made out of A-36 steel and has a diameter d 20mm with the end at A fixed to the wall. There is are balanced axial loads at B of P₁ = 50 kN and a point load at C of P2 = 40 kN. The distance from A to B is L₁ = 600 mm and the distance from B to C is L2 400 mm. Calculate the displacement of point C relative to point A. The modulus of elasticity for steel is E = 200 GPa A d B The displacement at C is 8 = P₁ 1 Р1 с BY NO SA 2021 Cathy Zupke mm P2A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.3 mm. Given: E (wire B) = 70 Gpa, E (wire C) = 200 Gpa and both wires have a diameter D = 4 mm. Consider a linear elastic behavior. 2 m 1.5 m C A > < 3 m 2 m 2 m Select one: OP=537 N P = 597 N OP=430 N OP=287 N OP=D573 N Let's consider a rod having a solid circular cross-section with diameter of 4.mm and it is made of a material having a Young's modulusE= B