4 m B 4m 8 0.4 m AB X-Section 0.2 mIO (a) Determine us that results in the gap (d) being closed. (b) If = 628 kN/m, determine the internal force in member BC? BC X-Section For the bar shown above, a uniformly distributed axial load wo (force per unit length) is applied between A and B. The diameter of the cross sections AB and BC are also indicated. The material properties of the bar are: E 20 GPa and 0.3. If the gap 81 mm, then answer the following questions (you can take a 3.14):

4 m B 4m 8 0.4 m AB X-Section 0.2 mIO (a) Determine us that results in the gap (d) being closed. (b) If = 628 kN/m, determine the internal force in member BC? BC X-Section For the bar shown above, a uniformly distributed axial load wo (force per unit length) is applied between A and B. The diameter of the cross sections AB and BC are also indicated. The material properties of the bar are: E 20 GPa and 0.3. If the gap 81 mm, then answer the following questions (you can take a 3.14):

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.4.17P: .17 A mountain-bike rider going uphill applies torque T = Fd(F = l5lb, d = 4 in.) to the end of the...

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A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P = 20 kips located at distance e = 0,75 in, from the center of the cross section. Also, the modulus of elasticity of the steel is 29,000 ksi. Determine the maximum compressive stress max, in the bar. If the allowable stress in the steel is 18,000 psi, what is the maximum permissible length Lmaxof the bar?
A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 75 lb/ft" against the full area of the sign. The dimensions of the poles and sign are hx= 20 ft, /r =5 ft, and h = 10 ft. To prevent buckling of the walls of the poles, the thickness e is specified as one-tenth the outside diameter d. (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7500 psi in the aluminum. (b) Determine the minimum required diameter based upon an allowable shear stress of 300 psi.
.17 A mountain-bike rider going uphill applies torque T = Fd(F = l5lb, d = 4 in.) to the end of the handlebars ABCD by pulling on the handlebar extenders DE. Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A). Segments AB and CD are prismatic with lengths L, = 2 in.andL3 = 8.5 in, and with outer diameters and thicknesses d01 = 1.25 in. 101 = 0.125 in. and d03 = O.87in.,i03 = 0.ll5in, respectively as shown. Segment BC’ of length L, = 1.2 in. however. is tapered, and outer diameter and thickness vary linearly between dimensions at B and C. Consider torsion effects only. Assume G = 4000 ksi is constant. Derive an integral expression for the angle of twist of half of the handlebar tube when it is subjected to torque T = Fd acting at the end. Evaluate ‘b1-, for the given numerical1ues.
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 long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the walls is F = 190 kN. If each shore has a 150 mm X 150 mm square cross section, what is the compressive stress
The P load applied to a steel bar is transferred to the board by an annular washer. The diameter of the rod is 34mm and the inner diameter of the washer is 35.7 mm. Since it is known that the axial normal stress on the steel bar is 119 MPa, and the average bearing stress between the washer and the board should not exceed 34 MPA, how many mm is the smallest allowable outer diameter of the washer?
Eight steel cables (with equal distance to each other) are supporting a circular heavy moulding of diameter 3m from an overhead point. If the moulding weighs 5 kN/m and the attachment point is 4m above it, determine the following:a. Calculate the tension of the cable.b. Determine the diameter of the wire if the allowable stress is 125 MPa.c. If the diameter of the cable is 10 mm, find the deflection of the steel cable.d. If the diameter of the cable is 10 mm, find the vertical displacement of the molder.
1. Steel rod 2.5m long is secured between tow walls. If the load on the rod is zero at 200C, compute the stress when temperature drops to (-200C). The cross-sectional area of the rod is 1200 mm2 α=11.7μ m/(m.0C) and E=200 GPa. Solve assuming (a) that the wall is rigid and (b) that the wall spring together a total distance of 0.500mm as the temperature drops. 2. The rigid bar ABC in Figure is pinned at B and attached to the two vertical rods. Initially, the bar is horizontal and the vertical rods are stress-free. Determine the stress in the aluminum rod if the temperature of the steel rod is decreased by 40°C. Neglect the weight of bar ABC.
Determine the internal forces at point J for the structure shown, where member BD can only carry axial forces. Take the dimension a = 180 mm and the external load P = 350 N. * * 225 mm 225 mm axial force: Fj shear force: SFJ= bending moment: BMJ = = A PNV C J B * 135 mm a mm 120 mm (tolerance 1 N, magnitude only) (tolerance 1 N, magnitude only) D (tolerance 100 N*mm, magnitude only)
The uniform 44 kN bar BC is supported by a pin at C and the aluminum wire AB. The cross-sectional area of the wire is 178.5 mm2. Assuming bar BC to be rigid, find the vertical displacement of B due to the weight of the bar. Use E = 71 GPa for aluminum. Anwer must be in mm.
touch &O O166% 00:27 MENG250 - Practice Assign... Problem 2-15 Determine the design angle ø (0° < ø< 90°) between struts AB and AC so that the 400-lb horizontal force has a component of 500 lb directed from A towards C. What is the component of force acting along member AB? Take 0 = 40°. 400 lb A te B
Three solid bars, each with square cross sections, make up the axial assembly shown. Two loads of P = 31 kN are applied to the assembly at flange B, two loads of Q = 21 kN are applied at C, and one load of R = 53 kN is applied at end D. Bar (1) has a width of b1 = 100 mm. Calculate the width b2 required for bar (2) if the normal stress magnitude in bar (2) must equal the normal stress magnitude in bar (1).