Link AC is made of a steel with a 65-ksi ultimate normal stress and has a
Fig. P1.51
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Mechanics of Materials, 7th Edition
- 7arrow_forwardThe axial stresses are 12 MPa C in the wood post B and 150 MPa T in the steel bar A as shown below. Pins at A, C, and D are smooth. Determine (a)The load P.(b)The minimum diameter for pin C if it is in single shear and the cross-shearing stress is limited to 70 MPa.(c)The minimum diameter for pin D if it is in double shear and the cross-shearing stress is limited to 70 MPa.arrow_forward4arrow_forward
- Example 8 1-55: In the structure shown, an 8 mm diameter pin is used at A, and 12-mm- diameter pins are used at B and D. Knowing that the ultimate shearing stress is 100 MPa at all connections and that the ultimate normal stress is 250 MPa in each of the two links joining B and D, determine the allowable load P if an overall factor of safety of 3.0 is desired. Top view k200 mm 180 mm 12 mm 8 mm B C B A B 20 mm 8 mm 8 mm 12 mm Front view Side viewarrow_forwardDetailed steps for each answerarrow_forwardTwo ropes are used to hoist a 610 Ib engine/transmission assembly as shown. The rope is anchored at C around the center part of the pin shown, causing the pin to experience a state of double shear. There is a frictionless pulley at A. The normal stress in the rope must not be allowed to exceed 12 ksi, and the shearing stress in the pin must not exceed 23 ksi. When the hoist is in the position given by: a = 41 in b = 13 ft c = 15 ft find the following: (a \& b) The forces carried in ropes AB and BC (c \& d) The necessary diameters of ropes AB and BC (e) The necessary diameter of the pin at C 2013Mchas (a) TAB = () Твс !! (c) dAB = (d) d BC %3! (e) d = %3D be sure to include units with your answers I3Darrow_forward
- Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. A 2 kip/ft distributed load is applied on member AB, which is supported by a pin at A and bar BC. The connections at points A and B are shown in detail. All pins have a diameter of 0.5 in while all members have cross-sectional dimensions of 1.5 x 1 in. Determine the following:a. maximum normal stress in member BC (ksi)b. normal and shear stress in a horizontal section across member BC apart from the pin (ksi)c. shear stress in pins A and B (ksi)d. maximum bearing stress on member AB (ksi)arrow_forwardTwo ropes are used to hoist a 530 lb engine/transmission assembly as shown. The rope is anchored at C around the center part of the pin shown, causing the pin to experience a state of double shear. There is a frictionless pulley at A. The normal stress in the rope must not be allowed to exceed 15 ksi, and the shearing stress in the pin must not exceed 21 ksi. When the hoist is in the position given by: a = 44 in b = 11 ft c = 19 ft find the following: (a \& b) The forces carried in ropes AB and BC (c l& d) The necessary diameters of ropes AB and BC (e) The necessary diameter of the pin at C 2013 Michael Swanbom (a) TAB = (b) TBC = (c) dAB = (d) dBc = (e) d =arrow_forwardFor the frame shown, a 4226-N load is acting on member ABD at D. If the allowable material shear stress for is 42 MPa, determine the required diameter (rounded off to the nearest 2.5 mm) of the pins at C and D. Pin C and pin D are subjected to double shear and single shear, respectively. If the thickness of member BC is 12 mm and that of member DE is 16 mm, determine the maximum bearing stress at C.arrow_forward
- A timber column, 8in. by 8in. in cross section is reinforced on all four sides by steel plates, each plate being 8in. wide and "t"in. thick. Determine the smallest value of "t" for which the column can support an axial load of 300 kips if the working stresses are 1200psi for timber and 20ksi for steel. The moduli of elasticity are 1.5x10^6psi for timber and 29x10^6psi foe steel -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong.arrow_forwardTorsion. A flanged bolt coupling connects two shafts. The bolt circle diameter is 250 mm in which there are 12 bolts. The allowable shear stress is 55 MPa in the shafts and 23 MPa in the bolts. One shaft is hollow with outside diameter of 100 mm, while the other one is solid of diameter 50 mm. Determine the ratio of the outside and inside diameter of the hollow shaft and the bolt diameter so that both shafts and the flanged bolt coupling are having the same strength in torsion.arrow_forward3. Determine the maximum average shear stress developed in each -in diameter bolt for the system shown below. 10 kip 5 kip 5 kiparrow_forward
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