Let's consider a solid circular rod having a diameter D = 30 mm subjected to a triangular distributed force as shown in the figure below. If it is made of a material having a Young's modulus E = 4 GPa, determine the horizontal displacement of the end A.

Let's consider a solid circular rod having a diameter D = 30 mm subjected to a triangular distributed force as shown in the figure below. If it is made of a material having a Young's modulus E = 4 GPa, determine the horizontal displacement of the end A.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.8.20P: A single steel strut AB with a diameter (a) Find the strut force Fs and average normal stress ds= 8...

See similar textbooks

Related questions

Q: An aluminum tube of outer diameter R, = 50 mm is heated such that it is mounted over a steel shaft…

A: Find the maximum shear stress in shaft 1.

Q: A nonprismatic bar ABC made up of segments AB (length Lị . cross-sectional area S1) and BC (length…

A: Given:- AB=L1 Area of AB=S1 BC=L2 Area of BC=S2 Modulus of elasticity=E Elasticity length=L3 Spring…

Q: A hollow steel shaft used in a constructionauger has an outer diameter d2 = 6.0 in. and…

A: Given d1 = 4.5 in d2 = 6 in G = 11 X 106 psi T = 150 kip-in To find Shear at outer surface Shear at…

Q: A circular tube of inner radius r1 and outer radius r2 is subjected to a torque produced by forces P…

A: a-calculate the r2 the minimum permissible outer radius of the tube given…

Q: 2. As shown in the figure, a rigid beam with negligible mass is pinned at one end and supported by…

Q: A steel bar ABC is loaded by a point load of 200N at point C and supported as shown in this figure.…

A: Consider 'P' be the virtual force that is being applied at point C in the horizontal direction. Now,…

Q: Q.3 A steel column (E = 30 x10 3 ksi) that is fixed at the base and free at the top is constructed…

Q: A 2 m long brass pipe is subjected to the weight 'P' of 1000 kg as shown in figure below. Determine…

A: given data: weight of pipe=1000kg load on pipe=mg=1000*9.81=9810N length of pipe=2.8m=2800mm outer…

Q: 2.1 A uniformly distributed load ofintensity g is applied through a circular area of radius a on the…

Q: Determine the maximum tensile stress σt , maximum compressive stress σc, and maximum shear stress…

Q: A prismatic bar AB with a solid circularcross section (diameter d) is loaded by a distributedtorque…

Q: 4. Given a 1D elasticity problem shown in (a) of the figure below. The bar is constrained at both…

A: Given Databar are constraints at both endsA-CA=0.1m2B-CA=0.05x-2m2E=2×107N/m2b=5N/mFor udlP=5×1=5N

Q: Problem 3 F-10,000N- L=1m Consider a tapered bar of circular cross-section shown in the Figure. The…

A: Given: The force, F =10,000 N The equation of radius, r = 0.06-0.03x The bar length, L = 1 m The…

Q: An aluminum tube of outer diameter R,- 50 mm is heated such that it is mounted over a steel shaft of…

A: For solution refer below images.

Q: A rectangular bar having width w = 4.75 in. and thickness t = 2.00 in. is subjected to a tension…

Q: A stepped shaft ABC consisting of two solid circular segments is subjected to torques T1 and T2…

Q: A prismatic bar of length L with a solid circular cross section of diameter d is loaded by a…

Q: 8. Two 1.75-in thick rubber pads are bonded to three steel plates to form the shear mount in the…

A: Answer: The displacement of the middle plate is 0.1381 in.

Q: Q.3. A circular bar of 500mm length has across section as shown in the figure. Determine max. axial…

A: As per the standard values of E, it's unit must be in N/mm2 but it is given as N/m2. I have…

Q: Problem B-2 [Statically Indeterminant Problem – Torsional Loading] A solid compound circular shaft…

Q: The outer diameter of the solid steel pipe shown in the figure is 25 mm. If the pipe is fixed at…

Q: A uniform bar AB weighing 500 kg is supported at both end by cable as shown in the figure below.…

Q: A circular bar, with shear modulus 40 GPa and radius 10 mm, is subjected to torques at points A, B,…

Q: (1) In the figure below, the cross section areas of rods AB and BC are A1, A2, and the Young's…

Q: D16. For the truss shown in figure determine the displacements at point B and stresses in the bars…

A: To determine the stresses in Part AB and BC.

Q: A rigid bar AB of a length L = 66 in. is hingedto a support at A and supported by two vertical…

A: The force in the wires can be calculated using the three equations of statics which are as- Take the…

Q: A stepped shaft ABC consisting of two solid circular segments is subjected to torques '1 and T,…

Q: A flexible connection consisting of rubber pads (thickness t 5 9 mm) bonded to steel plates is shown…

Q: A stepped shaft of solid circular cross sections(see figure) has length L = 0.80 m, diameterd2 = 40…

A: Given Diameter, d1 = 1.0 in. d2 = 1.2 in. Length, L = 45 in.…

Q: *2.2-12 The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by…

Q: A hollow steel shaft used in a construction auger has outer diameter d2 = 7.8 in. and inner…

A: Given data:

Q: A round steel rod is subjected to axial tensile stress of 50 MPa with superimposed torsional shear…

A: Given: The value of tensile stress is бx=50 MPa. The value of torsional shear stress is τxy=100…

Q: In the figure, the horizontal rigid beam ABCD is supported by vertical bars (1) and (2) and is…

Q: A rigid horizontal rod of length 2L is fixed to a circular cylinder of radius Ras shown in the…

A: Givenlength of rod =2Lcircular cylinder of radius =RVertical forces of magnitude=P shear modulus…

Q: C The rectangular bar has a width w = 100 mm and a thickness of 75 mm. The shear stress in the plane…

Q: Two solid circular shafts (i.e., AB and BC) are fixed to rigid walls at point A and C, respectively.…

Q: 3. The rigid bar BC in the figure supported by the steel rod AC of cross -sectional area 0.25 in?.…

Q: II. A circular column is made of concrete [E. 4.2(103)ksi] while being reinforced with six steel…

A: Given Data: The modulus of elasticity of concrete is, Ec=4.2×103 ksi. The modulus of elasticity of…

Q: olid steel bar of diameter di = 1.4 in. is enclosed by a steel tube of outer diameter dz = 2.25 in.…

Q: 1,2 m -0,6 m Im Çap:50 mm The system in the figure is carried by a 50 mm diameter column. If the…

A: Solution: We need to find the critical load to prevent the column BC from buckling, since both ends…

Q: -20kN 8. A steel bar ABCD 4 m long is subjected to force as shown in figure below. Find the…

A: Answer: The total elongation of the bar is 1.7507 mm.

Q: The curved rod in the figure below has a radius r and is fixed to the wall at B. Determine the…

Q: A solid steel bar is enclosed by a steel tube as shown in figure. The bar which has a length L= 550…

Q: M-2000 Ncm 500 Ncm M-800 Nem M300 Ncm M-400 Ncm A B- L-20cm M.

Q: Determine the nodal displacements and element stresses by finite element formulation for the…

Q: A cylindrical rod of diameter 10 mm and length 1.0 m is fixed at one end. The other end is twisted…

Q: 1.8-14 A flexible connection consisting of rubber pads (thickness t = 9 mm) bonded to steel plates…

A: As per given question Length =160mm Breath=80mm Thickness =9mm Shear modulus =1250kpa We have to…

Question

100%

The true option

Let's consider a solid circular rod having a
diameter D = 30 mm subjected to a
triangular distributed force as shown in the
figure below. If it is made of a material
having a Young's modulus E = 4 GPa,
determine the horizontal displacement of
the end A.
A E -<<
0.7 m
Select one:
O 0.235 mm
0.442 mm
0.529 mm
O 1.719 mm
O 0.995 mm

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1The

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Quality Assurance, Process Planning, and Quality Control

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

, Solve the preceding problem using the numerical data: /) = 90mm, h = 280 mm, d = 210 mm, q = 14 kN/m, and L = L2 m.
.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.
-7 Repeat Problem 2.3-5, but n include the weight of the bar. See Table I-I in Appendix I for the weight density of steel.
Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
A copper rod of length L = 18.0 in. is to be twisted by torques T (see figure) until the angle of rotation between the ends of the rod is 3.0°. (a) If the allowable shear strain in the copper is 0.0006 rad, what is the maximum permissible diameter of the rod? (b) If the rod diameter is 0.5 in., what is the minimum permissible length of the rod?
Solve the preceding problem if the cross- sectional dimensions are b = 1.5 in. and h = 5.0 in., the gage angle is ß = 750, the measured strains are = 209 × 10-6 and B = -110 × 10, and the material is a magnesium alloy with modulus E = 6.0 X 106 psi and Poisson’s ratio v = 0.35.
A single steel strut AB with a diameter (a) Find the strut force Fs and average normal stress ds= 8 mm supports the vehicle engine hood of a in the strut. mass 20 kg that pivots about hinges at C and D (see (b) Find the average shear stress t aver in the bolt at A,figure parts a and b). The strut is bent into a loop at (C) Find the average bearing stress bon the bolt at A. its end and then attached to a bolt at A with a diameter db= 10 mm. Strut AB lies in a vertical plane.
Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.
Solve the preceding problem (W 250 × 44.8) if the resultant force P equals 110 kN and E = 200 GPa.
Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a material having a Young's modulus E = 120 Gpa and a Poisson's ratio of 0.33. If a tensile force F is subjected to that rod cross-section, the diameter becomes 3.995 mm. determine the applied force F. Select one: O F= 2856 N OF = 2285 N OF = 7140N OF = 5712 N OF = 3427 N O F = 8568 N
Clear my choice Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a material having a Young's modulus E= 200 Gpa and a Poisson's ratio of 0.3. If a tensile force Fis subjected to that rod cross-section, the diameter becomes 3.995 mm. determine the applied force F. Select one: O F= 5236 N OF=15708N O F= 13090 N OF=10472 N OF=4189 N O F=6283 N Clear my choice Finish attempt NEXT ACTIVITY MENG360 Test -Spring 2020-2021 Jup to
1. Rod ABCD is made from two materials with two cross sectional areas. The rod is subjected to axial loads as shown. Neglect the weight of the rod and determine the displacement of point A. EBE Ep =210 Gla 125 kN EAg = 70 GR ABE Aco=900 u AAB = 450 mm 37stEN/ %3D 2m 2.5m