300 mmBE450 mmDGThe assembly consists of two 10mm diameters red brass C83400 copper rods AB and CD.a 15mm diameter 304 stainless steel rod EF, and a rig d bar G. The modulus of elasticity for red brassC83400 is 101 GPa, for 304 stainless steel 193 GPA.If the horizontal displacement of end F of rod EF is 0.4 mm, determine the magnitude of P.Express your answer to three significant figures and include the appropriate units.

Answered: Image /qna-images/answer/2933cb89-37aa-4ab1-98df-ecd2e84c43d3.jpg

Answered: 300 mm B E 450 mm DG The assembly…

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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.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.
A 75 mm diameter compound bar is constructed by shrinking a circularbrass bush onto the outside of a 45 mm diameter solid steel rod. If thecompound bar is then subjected to an axial compressive load of 170 kN,determine the load carried by the steel rod. The modulus of elasticity for steel,Es = 200 GN/m2 , and brass, Eb = 100 GN/m2
A steel [E = 25500 ksi] pipe column (1) with a cross-sectional area of A1 = 5.60 in.2 is connected at flange B to an aluminum alloy [E = 17500 ksi] pipe (2) with a cross-sectional area of A2 = 4.40 in.2. The assembly is connected to rigid supports at A and C. For the loading shown, determine the normal force in the steel pipe (1).
A slightly tapered bar AB of solid circularcross section and length L is supported at end B andsubjected to a tensile load P at the free end A. Thediameters of the bar at ends A and B are dA and dB,respectively. Determine the length of the bar if theelongation of the bar due to the load P = 45 kipsis 0.02 in. Assume that E = 10,400 ksi.
A straight bar 450 mm long is 10 mm in diameter for the first 200 mm length and 20 mm in diameter for the remaining length. If the bar is subjected to an axial push of 10 kN, determine decrease in length of the bar. Take modulus of elasticity of bar material E = 2 × 105 N/mm²
A steel [E = 200 GPa] rod with a circular cross section is 8-m long. Determine the minimum diameter D required if the rod must transmit a tensile force of 15 kN without stretching more than 4 mm.
In the system shown, when a compression load P is applied to the rod, what is the bearing stress value in the bearings through which the d diameter pin passes? P = 10kN, pim çapı: d=20mm, bir yatağın kalınlığı: t = 10mm
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.
A 13-mm-diameter steel (E = 193 GPa) rod (2) is connected to a 27-mm-wide by 10-mm-thick rectangular aluminum (E = 72 GPa) bar (1), as shown. Assume L1 = 0.74 m and L2 = 1.38 m. Determine the force P (in kN rounded to the nearest tenths) required to stretch the assembly 8.1 mm.
The three-bar truss in Fig. a is subjected to a horizontal force of 5 kip. If the cross-sectional area of each member is 0.20 in2, determine the horizontal displacement at point B. E = 29(103) ksi.
Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E1 = 15,000 ksi and a diameter of d1 = 0.50 in. Aluminum rod (2) has an elastic modulus of E2 = 10,000 ksi and a diameter of d2 = 0.85in. Aluminum rod (3) has a diameter of d3 = 1.00in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L1 = 6 ft, L2 = 8 ft, and L3 = 3 ft. (A) Calculate the cross-sectional areas of the three rods. in in.2 (B) For a factor of safety of 2.1, calculate the allowable stresses in the bronze and the aluminum rods. IN KSI. (C) What is the magnitude of load P that can safely be applied to the structure for a minimum factor of safety of 2.1? in kips (D) The pin used at B has an ultimate shear strength of 58 ksi. If a factor of safety of 2.5 is required, determine the allowable shear stress in this pin.…
The horizontal bar shown is pinned at O and is supported with a helical springat L1 from O. L1=2m, L2=1m. The spring has 30 turns and the diameter of the wire usedis 20mm. The diameter of the spring is 125mm. Modulus of Rigidity = 83GPa. Determine the deformation of the spring.

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