Consider pinned Member A subjected to a tensile load shown below. Determine the expression of the area over which the shear stress in the pin acts. Select one: Ο Α. Α = 75 -D² O B. A TDt OC. A = (w - D)t O D. A Dt = pin W pin L TOP VIEW SIDE VIEW Member A Member A P
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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 CNeglect the thickness of the bar. Take ua=ub=u suppose that b= 1 ftDetermine the state of stress at point q. The pipe has an inner diameter of D₁ = 1.0 in and an outer diameter of = 1.8 in. Use the exact expression for Q, if needed. Label the reultant forces on the cross section below. Report your answer (3x3 matrix) in psi to one decimal place. Do 4 in. Y 4 in. 150 lb 6 in. 50 lb 10 in. 200 lb 150 lb X N Y
- Q1/ The aluminum and bronze cylinders are centered and secured between two rigid end-plates by tightening the two steel bolts. There is no axial load in the assembly at a temperature of 50°F. Find the stress in the steel bolts when the temperature is increased to 200°F. Use the following data: Aluminum cylinder Bronze cylinder Each steel bolt A (in.²) 2.00 3.00 0.75 a (/°F) 12.8 x 10-6 10.5 x 10-6 6.5 x 10-6 E (psi) 10 x 106 12 × 106 29 x 106 1.0 in.- -3 in 4 in.-1.0 in. Aluminum Bronze OThe assembly supports a uniform distributed load = 1.65 kN/m as shown. Part A Determine the resultant internal loadings at cross sections at point on the assembly. Express your answers, separated by commas, to four significant figures. V AZO NE=, VE =, ME = Submit Request Answer Part B Determine the resultant internal loadings at cross sections at point F on the assembly. Express your answers, separated by commas, to four significant figures. Np. Vp, Mp= Submit Provide Feedback VO ALO 63 12 Request Answer 1? kN, KN, KN-m kN, KN, KN-m D E 0.5 m 0.5 m 0.5 m B Im -1.5 m 2 m3. The aluminum block has the rectangular cross-section and is subjected to an axial compressive force of 8 kips. The 1.5-in side changed its length to 1.50014 inches. Use E = 10 x 10³ ksi. Calculate the new length of the 2-inch side. Answer: Lnew = 2.00019 in 1.5 in 2 in. 8 kip- 8 kip 3 in. 4. A solid cylinder of diameter D is subjected to an axial load P. Show that its change in diameter is 8D = 4Pv/лDE.
- 3 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.The pole is supported by a pin at B and A-36 steel guy wire AC. If the wire has a diameter of 0.2. Modulus of Elasticity of Steel = 200GPA or 29x103 ksi Poisson's ratio of steel=0.321 a. Determine how much the wire stretches when the horizontal force acts on the pole. 3 ft 30 D 2.5 kip 4 ft B b. Determine the change in the wire's radius c. At what angle is the principal stresses on pole BC? Use Mohr's Circle. d. What is the principal stress in pol BC? Use Mohr's Circle e. Draw the stresses on a unit element acting on 35-degree clockwise direction of pole BC. Use Mohr's Circle. f. What are the principal stresses in point D? Use Mohr's Circle. (answer in ksi) g. At what angle is the principal stresses acting on point D? Use Mohr 's Circle. h. Draw the stresses on a unit element acting on 35degree-clockwise direction of point D. Use Mohr's Circle. (answer in ksi)2. The bar AC is supported by a pin at A and a cable that runs from B to E around the frictionless pully at D. If the allowable tensile stress oallow = 5.2 ksi for the cable, determine the required minimum diameter (inch) of the cable. The cylinder (connected at C) weighs 890 lb. Neglect weight and thickness of the bar AC. D 4 3 A C 5 ft 5 ft -4 ft 890 lb
- Draw and stress tensonr with the following characteristics The stress cube visualization at point A would depict the normal stress (σ_x) acting on two opposite faces and the shear stress (τ_xy) acting tangentially on the four sides associated with torsion.5. Determine he shear stress in the most heavily loaded 7/8-in-daimeter rivet in the joint shown in Fig. 5. T= 20 000 lb Centroid of connector group 20 deg. e = 2 in +3 in +3 in + 3 inNeed asap A round brass rod 30 mm in diameter and 200 mm long is subjected to a compressive force of 100 kN. If μ = 0.33 and E = 105 GPa. Determine the change in diameter. In mm. Thanks