P3. In Fig. P1-03 members CE and DE 10KN have rectangular cross-sections. CE is 50 x 100 mm and DE is 100 x 200 mm. Determine the normal stress in these members. 20 AN C 20 E 4 m G 5 KN B 10 D 10 F H Fig. P1-03 T 3 m + 3 m 어 3 m
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- The state of stress on an element along the hydraulic lift cylinder on a truck is trv= — 5 MPaLFind the maximum shear stress on the clement and show the state of stress on a sketch of a properly oriented clement.The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.Repeat the previous problem using ? = 50° and stresses on the rotated element: sy1= 70 MPa, ??y1=-82 MPa, and tx1y1=-35 MPa.
- The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.-27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile stress The stresses on element A oriented at angle ?? x1=45° aresy1= 75 psi. tx1y1= 275 psi. . Find the state of stress on the element lilt is rotated clockwise to align the x3 axis with the horizontal x axis.‘7.3-11 The stresses on an element are sx= -300 psi and sy= 600 psi. Find the maximum shear stresses on the element and show them on a sketch of a properly oriented clement.
- .4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the stresses on an inclined section through the element at an angle ? = 45°.At a point on the web of a girder on an overhead bridge crane in a manufacturing facility, the stresses arc known to be x = —4300 psi, a = 1700 psi, and r = 3100 psi (the sign convention for these stresses is shown in Fig, 7-1). A stress clement located at the same point in the structure (but oriented at a counterclockwise angle 0, with respect to the _y axis) is subjected to the stresses shown in the figure {b, r», and 2100 psi). Assuming that the angle 8Xis between zero and 90°, calculate the normal stress trA, the shear stress ta, and the angle BvA 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.
- To determine the normal and shear stresses on the indicated plane, we must first determine the orientation of the inclined plane relative to the x face of the stress element. Determine the magnitude of the counterclockwise angle between the x face and the inclined plane. Assume Sx = 170 MPa, Sy = 105 MPa, Sxy = 85 MPa, and ß = 65°. Sx Sxy В Sy Answer: 0 = 25 X O'Formül: TL 2 5 için e- C-;(1-0,630b/a) T 60 MPa Find the approximate prime plane in degrees for the state of stress given in the figure. Tmaks Gab Czab'G' 45 MPa M,(Izy.z=Iy.y) + M,4.z – lzy-y) 4.ly - Izy ds + Oy, tan20, 2 vQ My It 2tA 100 MPa 100MPA cos20 + Tgysin20 , Jert 2 sin20 + Trycos20 , Omaks.min = 2. 45 MPa 60 MPa Tmaks - 66 55 44 33 22 O ODetermine the state of stress at point A of the rectangular post shown loaded with concentrated forces directed along the y axis equal to 75kN and along the x axis equal to 15kN. 1)Determine the total normal stress along the x and y axes at point A (include if tensile or compressive in your final solutions) 75 kN 50 mm 200 mm- 150 mm OAx= 15 kN OAy= 2) Draw the state of stress of point A 800 mm A 50 mm