mple 4.3 (Numerical problem on thick cylinder subjected to internal urel: A thick cylinder of internal diameter 100 mm is subjected to an rernal pressure of 50 N/mm². If the allowable stress in the material is 50N Imm?, find the thickness required.
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- A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?The stresses on an element are sx= 1000 Psi. sy= 500 psi, and txy= 350 psi. Find the stresses acting on an element oriented at an angle 0 = 250. Show these stresses on the rotated element.-4. - An element in plane stress is subjected to stresses ??x= 105 MPa, ??y= 75 MPa, and sxy= 25 MPa (see the figure for Problem 7.3-1). Determine the principal stresses and show them on a sketch of a properly oriented element.
- - A specimen used in a coupon test has norm al stress ??. = 15 MPa (see figure). Using Mohr’s circle, find the state of stress on the element oriented at angle ? = 20° and show the full stress state on a sketch of a properly oriented element.Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPaA spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
- A simply supported wood beam is subjected to point load P at mid-span. The stresses on element C are known to be ??x=-92 psi and txy= -7 psi. Find the principal stresses on the element and show them on a sketch of a properly oriented clement.An element on the top surface of the fuel tanker in Problem 7.2-1 is in biaxial stress and is subjected to stresses a = -48 MPa and ay = 19 MPa, as shown in the figure. Using Mohr’s circle, determine the following. (a) The stresses acting on an clement oriented at a counterclockwise angle ?? = 25° from the x axis. (b) The maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clement
- Q6 A spherical vessel of 1.6m inner diameter is constructed by joining two hemispheres with equally spaced bolts as shown in fig.3. The vessel will operate at an internal pressure of 600kPa. Calculate the vessel plate thickness t. Given the allowable stress for the sphere plate will equal 50MPa. If the same plate was used to make a cylindrical vessel to operate at the same internal pressure, find the cylinder maximum allowable diameter. ... المزيد A Ľ تعديل حذف 0 المفضلة Lo مشاركةThe thin-walled cylindrical container shown below. Say p is the internal pressure of 15MPa, d is the inside diameter of the container of 20mm, and t is wall thickness of 10mm. Find: a. The longitudinal stress b. The girth stressA 10m long beam is supported by a steel rod and a hinge shown below. The rod is 20mm in diameter and the beam supports a uniform load of 1a kN/m. The weight of the beam is (11 x 1000) kg. A. Find the stress on the steel rod in Mpa B. Find the diameter in mm of the pin at B to if the allowable stress in the pin is 210 MPa C. Find the maximum force (kN) that can be applied to a steel pipe attached vertically to a rigid support if the allowable stress in the pipe is 10MPa. The outside diameter is 155mm and a thickness of 12mm.