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- 3. At temperature T₁, the two rigidly connected rods just fit the rigid supports. If both sections are identical except for the diameter, prove that the following equations are true when temperature rises to T₂. a. F= b. OAB C. OBC A x(T₂-T₁)лd²E 20 x(T₂-T₁)E 5 9x(T₂-T₁)E 5 -1/2- d B 1/12- d C1-63.M. The key in Figure 1-18 has the dimensions b = 10 min, h = 8 nim, and L = 22 min. Determine the shear stress in the key when 95 N-m of torque is transferred from the 35-mm-diameter shaft to the hub. Hub End view Shear plane Shear pl T=Torque -D=Shaft diameter T=F(D/2) F₁-Force of shaf F₂= Force of hub on 1 Shear area=A,=bxL3 m 5:54 PM φλ C D E H F B -2 m--2 m--2 m--2 m--2 m--2 m- 20 kN 30 kN 40 kN ( 50 ) l اس. © 2 Find the Vertical Support Reaction at G (in kN). Input the magnitude only (don't include negative sign). The tolerance for the answer is +/-0.01.
- Use the method of SECTIONS to find the true magnitude and direction in bar HG of the truss shown below in Fig 3.5 -500lb -100lb A 45° -200lb H -100lb 2 B -200lb -200lb MAGNITUDE AND DIRECTION OF SUPPORTS -500lb H -100lb 45° 2¹ C2D 2¹ Fig 3.5. -200lb -100lb LI 2 B 2₁ 2₁ D 2₁ ERepeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.The shear stress is maximum on the principal plane Select one: O True O False
- 4.Three members of a frame on a knot plate can be seen in the picture below. Determine the size and direction of the Result of Style on the knot plate analytically and graphically F1 Pelat Buhul F2 F3 F1 = 15 N F2 = 13 N F3 = 10 N Teta = 30 ^oA 60 mm diameter shaft AB is rigidly attached to the beam CDFH of 30 mm by 40 mm rectangular cross-section as shown in Figure Q4. The beam is pin supported at C and H. A torque of 2 kN.m (moment about z axis) is applied to end B of the shaft. Determine: (a) the reactions at supports Cand H, (b) the rotation about z axis of end B of the shaft by using Castigliano's second theorem, (c) the slope (rotation about z axis) at point C of the beam by using Castigliano's second theorem. The shaft and the beam are made of an aluminum alloy for which E = 72 GPa and G=27 GPa. Assume that the hub DF is rigid and neglect the strain energy due to transverse shear.Problem: The steel pipe has an inner diameter of 2.75 in and an outer diameter of 3 in. The pipe is fixed to the ground at C, and a wrench is attached to the opposite end. The wrench is subjected to a horizontal force of 20 lb that acts in -z direction. Points A and B are located on the surface of the pipe at the same cross section. Note that A lies directly above the -y axis, and B lies directly above the +z axis. 20 lb 10 in. A B y 12 in. (a) Find the normal and shear stresses at points A and B. (b) Find the principal stresses at points A and B. (c) Show all stresses from parts (a) and (b) on properly oriented elements, relative to the given coordinate system.
- YA 37 N-m The braket shown in figure is subjected to three forces and one couple as Shown in figure. Find the result ant R of the force System and the of it's line of action with the lines AB and BC. 120N 600N 9. 30 200 mm 50 mm V1OON points of intersedion R = 446.86 NoO =26:58s %3D d=0.0447m =44.7 mm « a = 0. ol m = lomm 6 %3D b=0.05 m = 50 mm · loommwith the following modifications: Add an additional force P = 20kN acting downwards at point BThe solid rod with radius r=37 mm is subjected to the loading F;=120 kN, F2=38 kN, F3=29 kN. With dimensions a=210 mm and b=330 mm Determine the magnitude of the combined shear stress at point B, given the following: Section Properties: b A=4300.84 mm? |= 1471963 mm A J= 2943925 mm4 Qmax= 33769 mm? B. O 0.310 MPa O 0,007 MPa O 0,620 MPa O 6.615 MPa O 4.805 MPa O 40.147 MPa O 13.176 MPa