AB rigid bar in the figure, P force acts at point B, which is articulated at point A. Cross-sectional area of 1 and 2 flexible rods A1= 8cm2 A2= 4cm2 ,Elasticity modules E1=E2=E=10 kN/cm2 L= 100cm. Find the rod forces 1 and 2 with the vertical

AB rigid bar in the figure, P force acts at point B, which is articulated at point A. Cross-sectional area of 1 and 2 flexible rods A1= 8cm2 A2= 4cm2 ,Elasticity modules E1=E2=E=10 kN/cm2 L= 100cm. Find the rod forces 1 and 2 with the vertical

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 2.2.18P: The horizon Lai rigid beam A BCD is supported by vertical bars BE and CF and is loaded by vertical...

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Bar ABC is fixed at both ends (see figure) and has load P applied at B. Find reactions at A and C and displacement SBif P = 200 kN. L = 2 m, t = 20 mm, b, = 100 mm, b2= 115 mm, and E = 96 GPa.
Space frame A BCD is clamped at A, except it is Free to translate in the .v direction. There is also a roller support at D, which is normal to line CDE. A triangularly distributed Force with peak intensity q0 = 75 N/m acts along AB in the positive - direction. Forces Px= 60 N and Pz = = 45 N are applied at joint C, and a concentrated moment My = 120 N . m acts at the mid-span of member BC. (a) Find reactions at supports A and I). (b) Find internal stress resultants N. E’I T, and .11 at the mid-height of segment AB.
A rigid bar AB having a mass M = 1.0 kg and length L = 0.5 m is hinged at end A and supported at end B by a nylon cord BC (see figure). The record has cross-sectional area A = 30 mm2. length b = 0.25 m. and modulus of elasticity E = 2.1 GPa. If the bar is raised to its maximum height and then released, what is the maximum stress in the cord?
A hollow circular pipe (see figure} support s a load P that is uniformly distributed around a cap plate at the top of the lower pipe. The inner and outer diameters of the upper and lower parts of the pipe are d1= 50 mm, d2= 60 mm, rf3 = 57 mm, and d1= 64 mm, respectively. Pipe lengths are Lt= 2 m and L, = 3 m. Neglect the self-weight of the pipes. Assume that cap plate thickness is small compared to I, and E,. Let E = 110 MPa. (a) If the tensile stress in the upper part is d = 10.5 MPa. what is load PI Also, what are reactions ft, at the upper support and R-, at the lower support? What is the stress ar(MPa) in the lower part? (b) Find displacement S(mm) at the cap plate. Plot the axial force diagram (AFD) [Ar(.f)] and axial displacement diagram (ADD)[5(.t)]. (c) Add the uniformly distributed load q along the censorial axis of pipe segment 2. Find q (kN/m) so that It, = 0. Assume that load P from part (a) is also applied.
A space truss is restrained at joints O, A. B. and C, as shown in the figure. Load P is applied at joint A and load IP acts downward at joint C. (a) Find reaction force components Ax, By, and B. in terms of load variable P. (b) Find the axial force in truss member AB in terms of load variable P.
A uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring on the left has a stiffness k[= 300 N/m and natural length Lt=250 mm. The corresponding quantities for the spring on the right are k2= 400 N/m and L^ = 200 mm. The distance between the springs is L = 350 mm, and the spring on the right is suspended from a support that is a distance it = SO mm below the point of support for the spring on the left. Neglect the weight of the springs. (a) At what distance x from the left-hand spring (figure part a) should a load P = 18 N be placed in order to bring the bar to a horizontal position? (b) If P is now removed, what new value of k{is required so that the bar (figure part a) will hang in a horizontal position underweight If? (c) If P is removed and kt= 300 N/m. what distance b should spring ktbe moved to the right so that the bar (figure part a) will hang in a horizontal position under weight II"? (d) If the spring on the left is now replaced by two springs in series (kt= 300 N/m, kt) with overall natural length Lt= 250 mm (see figure part b). what value of k; is required so that the bar will hang in a horizontal position under weight IF?
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The horizon Lai rigid beam A BCD is supported by vertical bars BE and CF and is loaded by vertical Forces P, = 400 KN arid P2= 360 kN acting at points A and D, respectively (see figure). Bars BE and CF are made of steel (£ = 200 GPa} and have cross-sectional areas Ag=11,100 mm" and ABE= 9280 mm-. The distances between various points on the bars are shown in the figure. Determine the vertical displacements SAand SDof points A and D, respectively.
A plane frame is restrained al joints A and C, as shown in the figure. Members AB and BC are pin connected at B. A triangularly distributed lateral load with a peak intensity or 90 lb/ft acts on AB. A concentrated moment is applied at joint C. (a) Find reactions at supports A and C. (b) Find internal stress resultants A', V, and \f at x = 3 ft on column AB.
An aluminum bar AD (see figure) has a cross-sectional area of 0.40 in- and is loaded by Forces Pi= 1700 lb, Pz- 1200 lb, and P3 = 1300 lb. The lengths of the segments of the bar are ti = 60 in., b = 24 in.T and c = 36 in. (a) Assuming that the modulus of elasticity is E = 10.4 × 10o psi. calculate the change in length of the bar. Does the bar elongate or shorten? (b) By what amount ^should the load Pibe increased so that the bar does not change in length when the three loads are applied? (c) IF Pzremains at 1300 lb, what revised cross-sectional area For segment AB will result in no change of length when all three loads are applied?
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