Figure Q2 shows a shaft consists of Rods AB, BC and CD which made of Aluminium, Brass and Steel, respectively. Given the modulus of elasticity of materials are Ealuminium = 69 GPa, Ebrass = 100 GPa and Esteel= 250 GPa. Determine, (a) The internal forces for each segment (AB, BC and CD) by showing appropriate free-body diagram, FBD.
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- .17 A mountain-bike rider going uphill applies torque T = Fd(F = l5lb, d = 4 in.) to the end of the handlebars ABCD by pulling on the handlebar extenders DE. Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A). Segments AB and CD are prismatic with lengths L, = 2 in.andL3 = 8.5 in, and with outer diameters and thicknesses d01 = 1.25 in. 101 = 0.125 in. and d03 = O.87in.,i03 = 0.ll5in, respectively as shown. Segment BC’ of length L, = 1.2 in. however. is tapered, and outer diameter and thickness vary linearly between dimensions at B and C. Consider torsion effects only. Assume G = 4000 ksi is constant. Derive an integral expression for the angle of twist of half of the handlebar tube when it is subjected to torque T = Fd acting at the end. Evaluate ‘b1-, for the given numerical1ues.The 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.Q2 Figure Q2 shows a shaft consists of Rods AB, BC and CD which made of Aluminium, Brass and Steel, respectively. Given the modulus of elasticity of materials are Eaiuminium = 69 GPa, Eirass = 100 GPa and Esteel= 250 GPa. Determine, I) The internal forces for each segment (AB, BC and CD) by showing appropriate free-body diagram, FBD. ii) The total strain energy in the whole rod assembly AB, BC and CD. iii) The allowable stress in the rod assembly, and justify the chosen answer
- TEST YOUR UNDERSTANDING! Problem 1 Four wires support the rigid members CD and AB. If a 500-lb load is applied at point I, determine the angle of tilt of AB and the displacement of point A. The members were originally horizontal, each wire has a cross-sectional area of 0.5 in² and E = 29 x 106 psi. (Taken from Hibbeler, 2015) Follow these questions for your solution: 1. Draw the FBDs of bar CD and bar AB. What are the forces in the wires? Problem 2 The horizontal rigid bar is supported by bars A and B and a pin support. If the system is loaded by P₁ and P2, what would be the vertical displacement of the point of application of P₁? Follow these questions for your solution: 1) Draw the FBDs needed. What is the normal force in bar A? in bar B? 2) Draw the deformation diagram. What compatibility equation would you use to determine the displacement of the point of application of P₁? How did the horizontal bar tilt? Answer to Test your understanding box 1 Problem 1: E Problem 2: D THA 1.8 ft…Clear my choice Let's consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a material having a Young's modulus E = 120 Gpa and a Poisson's ratio of 0.33. If a tensile force F is subjected to that rod cross-section, the diameter becomes 5.998 mm. determine the applied force F. Select one: O F= 5712 N O F= 2285 N O F= 8568 N O F= 2856 N O F= 3427 N O F=7140 N Finish attempt..A solid cantilevered aluminum alloy rod, 10-mm in diameter, supports a Parol (Christmas Lantern). The hanging Parol subjects the rod to a bending moment of 10.2 Nm along the x-axis, as well as Torque (T) at its fixed end (Section B). If the yield strength oYield in tension of the aluminum alloy is 103.9 MPa at point n of Section B, what is the maximum torque the rod can carry under the maximum distortion-energy theory (MDET)? L aluminum rod Figure 1A Y B cross-section of the rod Figure 1B Image is from Parol clipart 2 Clipart Station
- As shown, an L-shaped bar is supported by a pin at joint A. The bar's dimensions are aaa = 620 mmmm and bbb = 400 mmmm , and the bar is subjected to a force with magnitude FFF = 5.05 kNkN at joint B. Ignoring the bar's weight, find the actual orientation of the applied force. What is the value of the angle θθtheta?F2 Q1) Axial displacement of point C in the system shown on the left is 0.01 cm. Find the maximum elongation of the bar and the maximum normal stress. A F1 A. GIVEN: F2 = 100 kN, (1 = 240 cm, €2= 160 cm, bi = 5 cm, bz=10 cm, h=5 cm, E=2.107 N/em², a=20 cm Note: neglect stress concentration. h bị b2 A-A sectionConsider a long cylindrical solid rod - total length L - mass density p; - radius R1 = R2 = R; suspended from the top and hung freely downward along the (-1)Ž direction; - subjected to gravitational pull from the ground in the (-1)Ź direction. R2 +Z Z = h R1 Z = 0 a) Calculate the longitudinal stress o within the rod as a function of h; b) Repeat the calculation ifR| turns into a cone); = 0 and R2 = R (i.e., when the cylindrical rod c) Based on your answers to a) and b), provide some reasoning as to why a space elevator would not work [hint: think about the rod as the load bearing element of the space elevator].
- Clear my choice 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 modulus E= 200 Gpa and a Poisson's ratio of 0.3. If a tensile force Fis subjected to that rod cross-section, the diameter becomes 3.995 mm. determine the applied force F. Select one: O F= 5236 N OF=15708N O F= 13090 N OF=10472 N OF=4189 N O F=6283 N Clear my choice Finish attempt NEXT ACTIVITY MENG360 Test -Spring 2020-2021 Jup toQ2 Figure Q2 shows a shaft consists of Rods AB, BC and CD which made of Aluminium, Brass and Steel, respectively. Given the modulus of elasticity of materials are Ealuminium = 69 GPa, Ebrass = 100 GPa and Esteel=250 GPa. Determine, (а) The internal forces for each segment (AB, BC and CD) by showing appropriate free-body diagram, FBD. (b) The total strain energy in the whole rod assembly AB, BC and CD.Figure Q1 shows a composite rod ABC attached in between two rigid walls. Part AB is a solid rod made from Aluminium (E = 70 GPa), while part BC is a hollow cylindrical rod made from steel (E = 200 GPa).The diameter of part AB and the internal and external diameters of part BC are as shown in figure. A 40 kN force is applied at B in the direction as shown. If the compound rod is unstressed before theapplication of load,(a) determine the reaction at A and C.(b) determine the horizontal displacement of point B.