Q2/ A steel bar shown in figure consists of two segments having diameter of AB= 28 mm and BD= 40 mm. Find the stress of the rod BD.
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- A single steel strut AB with a diameter (a) Find the strut force Fs and average normal stress ds= 8 mm supports the vehicle engine hood of a in the strut. mass 20 kg that pivots about hinges at C and D (see (b) Find the average shear stress t aver in the bolt at A,figure parts a and b). The strut is bent into a loop at (C) Find the average bearing stress bon the bolt at A. its end and then attached to a bolt at A with a diameter db= 10 mm. Strut AB lies in a vertical plane.Two steel rods are welded together (see figure): the seam is oriented at angle ? = 50°. The stresses on the rotated element are sx1=10 ksi, sy1= -12 ksi, and tx1y1= -5 ksi. Find the state of plane stress on the clement if it is rotated clockwise to align the x3 axis with the longitudinal axis of the rods.A steel punch consists of two shafts: upper shaft and lower shaft. Assume that the upper shaft has a diameter d1= 24 mm and the bottom shaft has a diameter d2= 16 mm. The punch is used to insert a hole in a 4 mm plate, as shown in the figure. If a force P - 70 kN is required to create the hole, what is the average shear stress in the plate and the average compressive stress in the upper and lower shaft of the punch?
- A capped cast-iron pipe is compressed by a brass rod, as shown. The mil is turned until it is just snug, then add an additional quarter turn to pre-compress the cast-iron pipe. The pitch of the threads of the bolt ap = 52 mils (a mil is one-thousandth of an inch). Use the numerical properties provided. (a) What stresses a and arwill be produced in the cast-iron pipe and brass rod. respectively, by the additional quarter turn of the nut? (b) Find the bearing stress ahbeneath the washer and the shear stress t(in the steel cap.The stresses acting on element A on the web of a train rail (sec figure part a) a re found to be 6500 psi tension in the horizontal direction and 18,500 psi compression in the vertical direction (see figure part b), Also, shear stresses with a magnitude of 3800 psi act in the directions shown. Determine the stresses acting on an clement oriented at a counterclockwise angle of 30° from the horizontal Show these stresses on a sketch of an element oriented at this angleA simply supported beam is subjected to point load P at mid-span. The normal stress on an element at mid-span is known to be ??x= 1.5 ksi. Determine the element stresses lilt is rotated through angle ? = 450• Show these stresses on a sketch of an element oriented at that angle.
- The yoke and rod connection assembly shown in the figure below is subjected to a tensile force of 5 kN. I Determine the tensile stress in each rod. Determine the shear stress in pin A between the members. If each rod is 600 mm long, determine the overall extension of the assembly. Ignore any stretch in the joint. 40 mm 5 kN. 30 mm 25 mm 5 kN3. Four pulleys are attached to the 50-mm-diameter aluminum shaft. If torques are applied to the pulleys as shown in the figure, determine the maximum shear stress in each segment and the angle of rotation of pulley D relative to pulley A. Use G = 28 GPa for aluminum. a. Tab= b. Tbc= C. Tbc= ad= 1100 N·m 800 N·m D C 900 N·m 600 N m B A 2 m3 m2 mA C-clamp is to bear the force F applied onto it. It has a T-section as shown in Figure. If the maximum tensile stress in the clamp is limited to 200 MPa, find F. Dimensions are in mm. 20 50 R 25
- Based on the figure below, a pin supports a bar at Z and a cable supports X to Y around W. Determine the stress in the cable in megapascal with a diameter of 0.68 inch and a weight of 1,550 pounds. a = = 1 ft b= 3 ft c = 10 ft X bft Y W aft cft Z3. The composite bar consists of a 20-mm diameter steel segment AB and 50-mm diameter brass end segments DA and CB. Find the stress on each segment due to the applied loads. E of steel is 200 GPa and E of brass is 101 GPa. 250mm 250mm 250mm 50mm 20mm 50mm 75KN 100KN brass steel brass D B C 75KN 100KNFor the problem shown in the figure,- Find the axial displacement at the end B- Determine the variation of stress along the axis of the bar.GIVEN: E=50 N/mm2 , d1 = 4 cm, d2 = 6 cm, L = 80 cm, t = 6 mm, F = 1000N