Q1. A curved beam of a circular cross section of diameter "d" is fixed at one end and subjected to a concentrated load P at the free end (Fig. 1). Calculate stresses at points A and C. Given: P = 800 N, d = 30 mm, a 25 mm, and b = 15 mm. Fig.1 P b B (10 Marks)
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- A 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.Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPaA tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?
- Please show intermediate steps including free body diagrams, equations used, problem setup etc. so that your approach can be followed Please do problem 1ششكمبتسحخذ2. (Book Problem) The figure below shows a small pressurized cylinder attached at one end and loaded with a pipe wrench at the other. The internal pressure causes a tangential stress of 400 MPa and an axial stress of 200 MPa that act on an element at point A. The pipe wrench superimposes a bending stress of 100 MPa and a torsional stress of 200 MPa. a. Make a Mohr circle representation of the state of stress at point A. b. What is the magnitude of the maximum shear stress at A.
- 4. A central horizontal section of a hook is symmetrical trapezium 90 mm deep. The inner width being 90 mm and outer being 45 mm. The hook carries a load of 67.5 kN, the load line passes at a distance of 40 mm from the inside edge of the section, The centre of curvature is in the load line. Calculate the extreme intensities of stress. Also plot the stress distribution across the section. [Ans. (0,), = 53.15 N/mm? (comp) and (o), = 106.5 N/mm2 (tensile)} 5. A central horizontał section of a hook is a symmetrical trapezium of inner width = 67.5 mm and of outer width = 22.5 mm. The depth of the section is 90 mm. The hook carries a load of 37.5 kN. The load line passes through the centre of curvature. The radius of the hook is 52.5 mm. Deter- mine the maximum compressive and tensile stresses in the section of the hook. LAns ) 83 70 MN/m2 (tensile) and ü) 43 2 MN/m2 (compilFor a steel circular cantilever beam, 10mm in diameter, 700mm in length with an applied load of 7.848N in the free end, produce a sketch showing the distribution of stresses across the beam section for an applied moment of M=(3/4My+1/3Mp). Where My=24543.5 N.mm and Mp=41666.66667 N.mm and yeild stregth of material is 250Mpa. CheersA double-decker train. EXERCISES 1. A reciprocating steam engine connecting rod is subjected to a maximum load of 65 kN. Find the diameter of the connecting rod at its thinnest part, if the permissible tensile stress is 35 N/mm. [Ans. 50 mm) 2. The maximum tension in the lower link of a Porter governor is 580 N and the maximum stress in the link is 30 Nimm. If the link is of circular cross-section, determine its diameter. (Ans. 5 mm) Тор Contents Simple Stresses in Machine Parts 117 3. A wrought iron rod is under a compressive load of 350 KN. If the permissible stress for the material is 52.5 Nimm, cakculate the diameter of the rod. JAns. 95 mm) 4. A load of 5 kN is to be raised by means of a steel wire. Find the minimum diameter required, if the stress in the wire is not to exceed 100 N/mm. (Ans. 8 mm) 5. A square tie bar 20 mm x 20 mm in section carries a load. It is attached to a bracket by means of 6 bolts. Calculate the diameter of the bolt if the maximum stress in the tie bar is…
- 1 Provide Free Body Diagram, labeled with appropriate quantities to better understand. Also solve. Thank you. Please help1. A rectangular post which is made up of two blocks of wood glued together along a joint inclined at an angle a = 30°. Given the working stress for wood= 13053.4 psi normal stress developed in glue=17404.5 psi shearing stress in glue= 21 755.7 psi axial force= &8 kN Find: a. What is the minimum cross-sectional area of wood (m2), without exceeding the normal and shear stresses in the glue? b. What angle will maximize and minimize both normal and shearing stresses? PThe simply supported beam shown supports a uniformly distributed load of w = 50 kN/m. Assume x = 1.6 m, a = 3.5 m, b = 6.0 m, xk = 2.5 m. The cross-sectional dimensions of the beam are b₁ = 305 mm, t₁ = 23 mm, d = 480 mm, tw = 14 mm, and y = 85 mm. Determine the principal stresses and the maximum shear stress acting at point H. On a piece of paper, show these stresses on an appropriate sketch. ΧΗ พ bf H H B K Ун XK Ук b K a tw d