Please answer #2. A rigid bar is supported by three non-rigid rods, as shown. There is no initial strain and the length of Rods A and C is0.7 m, while Rod B is 0.9 m. A 45 kN downward load is applied to the rigid bar, equally resisted by Rod A, B, and C.Clearly show ALL FBDS used.Plane SPin ConnectionRod ARod BRod CDetail0.7 m0.9 m0.7 mview fromreference Plane S(side view)45 kN1. Determine the average shear stress in the \(10\;mm\)-diameter pin segment at P. Given is a side view, viewed fromplane S. An incomplete FBD of the pin segment is also shown.TP =MPа2. If the normal strain in Rod A due to the load is 1.06 x 10~4mm/mm, determine the normal strain in Rod B.x10 1 тm/mmт-4EB

Answered: Image /qna-images/answer/a3ad8718-13bc-4f8b-9611-5c1adf65e157.jpg

A rigid bar is supported by three non-rigid rods, as shown. There is no initial strain and the length of Rods A and C is 0.7 m, while Rod B is 0.9 m. A 45 kN downward load is applied to the rigid bar, equally resisted by Rod A, B, and C. Clearly show ALL FBDS used. Plane S Pin Connection Rod A Rod B Rod C 0.7 m Detail 0.7 m 0.9 m view from reference Plane s (side view) 45 kN 1. Determine the average shear stress in the \(10\;mm\)-diameter pin segment at P. Given is a side view, viewed from plane S. An incomplete FBD of the pin segment is also shown. TP = MPа 2. If the normal strain in Rod A due to the load is 1.06 × 10~4 mm/mm, determine the normal strain in Rod B. EB = x10 4 тm/mm

A rigid bar is supported by three non-rigid rods, as shown. There is no initial strain and the length of Rods A and C is 0.7 m, while Rod B is 0.9 m. A 45 kN downward load is applied to the rigid bar, equally resisted by Rod A, B, and C. Clearly show ALL FBDS used. Plane S Pin Connection Rod A Rod B Rod C 0.7 m Detail 0.7 m 0.9 m view from reference Plane s (side view) 45 kN 1. Determine the average shear stress in the \(10\;mm\)-diameter pin segment at P. Given is a side view, viewed from plane S. An incomplete FBD of the pin segment is also shown. TP = MPа 2. If the normal strain in Rod A due to the load is 1.06 × 10~4 mm/mm, determine the normal strain in Rod B. EB = x10 4 тm/mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.7P: Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and...

See similar textbooks

Similar questions

Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.
Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?
A W8 × 28 steel wide-flange column with pinned ends carries an axial load P. What is the maximum permissible length of the column if (a) P = 50 kips, and (b) P = 100 kips? (Assume E = 29,000 ksi and y = 36 ksi.)
A rigid bar of length L is supported by a linear elastic rotational spring with rotational stiffness ßRat A. Determine the critical load Pcr for the structure.
An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
A pinned-end strut of aluminum (E = 10,400 ksi) with a length L = 6 ft is constructed of circular tubing with an outside diameter d = 1 in. (sec figure). The strut must resist an axial load F = 4 kips with a factor of safety n = 2.0 with respect to the critical load. Determine the required thickness t of the tube.
An elevated jogging track is supported at intervals by a wood beam AB (L = 7.5 ft) that is pinned at A and supported by steel rod BC and a steel washer at B. Both the rod (dBC= 3/16 in.) and the washer (dB= 1.0 in.) were designed using a rod tension force of TBC=415 lb. The rod was sized using a factor of safely of 3 against reaching the ultimate stress tru— 60 ksi. An allowable bearing stress sba= 565 psi was used to size the washer at B. A small platform HF is suspended below a section of the elevated track to support some mechanical and electrical equipment. The equipment load is uniform load q = 50 lb/ft and concentrated load WE= 175 lb at mid-span of beam HF. The plan is to drill a hole through beam ABaX £land install the same rod (dBC) and washer) dB) at both D and F to support beam HF. (a) Use s and to check the proposed design for rod DF and washer d,: are they acceptable? (b) Re-check the normal tensile stress in rod BC and bearing stress at 8 if either is inadequate under the additional load from platform HF. Re-design them to meet the original design criteria.
See the set of bars for made of a material that has a yield strength of 350 MPa, determine the minimum h1 and h2 dimensions required. Apply a safety factor F.S. = 1.5 without flow. Each bar is 12 mm thick
A central horizontal section of a hook is a symmetrical trapezium of inner width=67.5mm and of outer width =22.5mm. The depth of the section is 90mm. The hookcarries a load of 37.5kN. The load line passes through the centre of curvature. Theradius of the hook is 52.5mm. Determine the maximum compressive and tensilestresses in the section of the hook.