Answered: Calculate the displacement of B-D-F…

Calculate the displacement of B-D-F points using the energy method or the Castigliano method. Cross section of all circular members have a radius of 50 cm and a modulus of elasticity of 207 GPa

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.6.13P: A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean...

See similar textbooks

Related questions

Q: An aluminum alloy has a modulus of elasticity of 70 kN/mm^2 and yield strength of 275 N/mm^2…

Q: A brass rod 20 mm diameter was su jected to a tensile load of 40 kN. The extension of the rod was…

A: This question is related to the hook's law "it states that the stress generated in the bar is…

Q: Calculate the total elongation of the bar. Its modulus of elasticity is 70 GPa and the cross…

A: Given data: The cross-sectional area of the bar, A = 600 mm2. Modulus of elasticity of the bar, E =…

Q: A 37.5-mm-diameter rod 6 m long elongates 12 mm under a load 236 KN. The diameter of the rod…

Q: A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P =…

A: Given data: Length of the rod (L) = 600 mm Diameter of the rod (D) = 20 mm Axial force (F) = 50 kN…

Q: A steel [E = 200 GPa] rod with a circular cross section is 14-m long. Determine the minimum diameter…

A: Given:E=200 GPaL=14 mP=37 KN∆L=5 mm

Q: Shown in the figures (1) and (2) are trusses containing members that are made of same materials…

A: To choose: The correct option. Given: The modulus of elasticity of material of the members are same…

Q: Determine the changes in length, breadth and thickness of a steel bar which is 4 m long, 30 mm wide…

Q: Determine the minimum column length to allow elastic torsion. Cross section is given in Figure 5, as…

A: It is required to determine the y coordinate of centroid.

Q: Calculate the elastic elongations that will occur in the x y axis on the adjacent object according…

A: given stress in x direction σx=-30 MPa (compression)stress in y direction σy=40Mpa (tensile)young…

Q: Calculate the percentage elongation from the length of the steel bar is 20 cm, and the extension is…

Q: The stick in the left picture is from the right end welded and the material from which it is made…

Q: A horizontal aluminum rod 2.5 cm in diameter projects 4.5 cm from a wall. A 1000 kg object is…

A: Given data: d=2.5 cmL=4.5 cmm=1000 kgG=3×1010 N/m2 Need to determine the shear stress on the rod and…

Q: A tensile load of 50, 000 lb is applied to a metal bar with a 0.6 in x 0.6 in. cross section and a…

Q: Problem. The bone of the dog has the length L = 20 cm, surface of = 2.8 cm, and Young's modulus Y =…

Q: A bar of varying square sections is loaded as shown in the figure. Determine the total elongation.…

Q: A rod of diameter 50 cm and length 6 m is hanging vertically and carries an axial load of 10 kN at…

A: Self weight of the rod below the 2m mark from the bottom Volume of rod hanging below 2m maek =…

Q: If an isotropic material has a shear modulus of 30 Gpa and a Poisson's ratio of 0.34, calculate its…

Q: A steel [E = 200 GPa] rod with a circular cross section is 13-m long. Determine the minimum diameter…

Q: If an isotropic material has a shear modulus of 27 Gpa and a Poisson's ratio of 0.42, calculate its…

Q: Let's consider a rod subjected to the shown axial forces. If we consider a linear elastic behavior,…

Q: Let's consider a rod subjected to the shown axial forces. If we consider a lincar elastic behavior,…

A: Stress: Stress is nothing but the force per unit area. It is represented by σ. SI unit of stress is…

Q: Q4/ Determine the total elongation of an initially straight bar of length 100 cm, with diameter is…

Q: 3. Shafts AB and BC (each 50 mm long) are welded to each other. Shaft AB is hallow with 20 mm inner…

A: Given data: The outer diameter of the shaft AB is DAB=30 mm The inner diameter of the shaft AB is…

Q: 11.3 (A) Calculate the strain energy stored in a bar of circular cross-section, diameter 0.2 m,…

Q: A column with circular cross section of 30 mm diameter has its both ends fixed and is subjected to…

A: Solution:

Q: 5. Two C310x45 channels are latticed together so they have equal moments of inertia about the…

A: Write the formula for proportional limit to calculate the critical load. P2A=σ Here, σ is the…

Q: A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P…

Q: 3. The load at point B is 28 kN. Members AB is a Kelvin-Voigt composite bar, (E = 25 GPa, u = 5 x…

A: Data given- Load at point B = 28kN For member AB E = 25 Gpa u = 5×1015 Pa-s For member AC,BC E = 150…

Q: A cast iron rod of diameter 18 mm and length of 240 mm is subjected to a tensile load of 100 kN, and…

A: As per the given data in question, the correct option is not available in options. Please find the…

Q: An Aluminum shaft is compressed by a load of 28000 Ib. The original length is 2.8 in and the…

A: Given Case 1 Diameter = 1.3 in Length = 2.8 in Force = 28000 lb Modulus of elasticity = 85000 =…

Q: A bar having a length of 5 in. and a cross-sectional area of 0.7 in.2 is subjected to an axial force…

A: Here modulus of elasticity is given by E=σεWhere σ=Tensile Stressε=Tensile strainSo now tensile…

Q: 2. A bar having a length of 5 in. and cross-sectional area of 0.8 in? is subjected to an axial force…

A: Given:L=5 inA=0.8 in2F=8000 lb∆L=0.003 in

Q: A 2m long bar with square cross section of side 40 mm is subjected to compressive stress of 70 MPa…

Q: A steel [E = 200 GPa] rod with a circular cross section is 9-m long. Determine the minimum diameter…

Q: The cross-sectional diameter of aluminum nail measures 1.50 mm and it is projected outward to a…

A: Given, d=1.5 mm=0.0015 mL=3.5 cm=0.035 mm=3.60 kgG=2.4×1010 N/m2

Q: Determine the total deformation of the steel rod shown in figure (1) under the given loa Take the…

Q: A brass bar having cross-sectional area of 1000 mm is subjected to axial Find the total elongation…

Q: A rigid beam is supported by a pin at A and wo metallic wires at B and C. Determine the orce P that…

Q: 2. The cross-sectional dimensions of a structural steel column, which serves as the central support…

Q: An aluminium alloy rod of length 1.8m and rectangular cross-sectional of area 250mm^2 is subjected…

Q: Using the Maximum Strain Criterion, determine the uniaxial failure stress, Ox, for off-axis loading…

A: when a member of uniform cross-section is subjected to a Direct stress in one plane, then the normal…

Q: Find the modulus of elasticity of a brass rod of cross section 20 mm x 20 mm, and length 248 mm…

Q: 9. A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of…

A: Given Data P=50 kN D=20 mm L=600 mm ∆=1.4 mm D'=19.9837 mm

Q: A 500-mm-long, 16-mm-diameter rod made of a homogenous, isotropic material is observed to increase…

A: To find-: The modulus of elasticity and Poisson’s ratio of the material. Given-: The axial load is…

Q: A circular shaft having a diameter of 4 in. is subjected to a torque of 250 kip # in. If the…

A: The diameter of circular shaft is D=4 in. The magnitude of torque is τ=250 kip·in. The yield stress…

Q: 9. A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of…

Q: 2. An aluminum alloy (E = 75 GPa) tube A is used to support a 30 mm diameter steel (E 210 GPa) rod…

A: Draw the FBD of the diagram as shown below.

Q: A metal rod, as shown in the following figure, axial loads are applied at position indicated.…

A: Given, A1 = A2 = A3 = 100 mm2 E1 = E2 = E3 = 84 x 103 N/mm2 L1 = 500 mm L2 = 600 mm L3 = 900 mm…

Q: 11.3 (A) Calculate the strain energy stored in a bar of circular cross-section, diameter 0.2 m,…

Question

Calculate the displacement of B-D-F points using
the energy method or the Castigliano method.
Cross section of all circular members have a
radius of 50 cm and a modulus of elasticity of
207 GPa
8 kN
8 kN
8 kN
B
3.6 m
MATHalino.common.onilsHTAM
2.4 m
2.4 m
2.4 m
2.4 m

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 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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

Consider the modulus of elasticity of aluminum to be 10,000 lb / in2.Verify homogeneity in the units. An aluminum block of rectangular cross section is subjected to an axial compressive force, if the side measuring 1.5 in changes in length to 1.500132 in, determine the poisson's ratio and the new length of the side measuring 5 cm.
Consider the modulus of elasticity of aluminum to be 10,000 lb / in2.Verify homogeneity in the units. An aluminum block of rectangular cross section is subjected to an axial compressive force, if the side measuring 1.5 in changes in length to 1.500132 in, determine the new length of the side measuring 5 cm.
Choose correct answer: A mild steel rod of 15mm diameter that is 1.5.m in length is elongated by 0.15cm along its longitudinal direction by a load of 15 kN. The intensity of stress is 0.08488 N/mm2 48.88 N/mm2 84880 N/mm2 84.88 N/mm2
Determine the changes in length, breadth and thickness of a steel bar which is 4 m long, 30 mm wide and 20 mm thick and is subjected to an axial pull of 30 kN in the directions of its length. Take Young’s Modulus as 70 GPa and Poisson’s ratio as 0.3.
Determine the elongation of an aluminium hollow cylinder of an inner diameter of 1.45 cm & the external diameter of 24.7 mm is subjected to an elastic tensile load of 251 kN. Take the elastic modulus of the aluminum specimen as 71 GPa and the initial length of the hollow cylinder as 198 mm. Solution: Cross-sectional Area (in mm2) = Stress-induced (in N/mm2) = Strain-induced (at least 3 decimal places accuracy)= Elongation (in mm) =
Determine the elongation of an aluminium hollow cylinder of an inner diameter of 1.22 cm & the external diameter of 23.4 mm is subjected to an elastic tensile load of 228 kN. Take the elastic modulus of the aluminum specimen as 71 GPa and the initial length of the hollow cylinder as 187 mm. Solution: i) Cross-sectional Area (in mm2) = ii) Stress-induced (in N/mm2) = iii) Strain-induced (at least 3 decimal places accuracy)= iv) Elongation (in mm) =
Determinethe change in diameter of a circular steel rod axially loaded in compression where the diameter is 4.8cm and the axial strain of –0.0021 with poisson's ratio of 0.27.
Using the previous answers; determine the angular deflection in both shafts. Both shafts are 20 cm long and the modulus of rigidity for the material is 60GN/m^2.
Consisting of chrome-nickel and bronze,the largest horizontal P force it can carry, and chromium-nickelCalculate the length change that will occur in the cable.Cross Section Areas: A chrome-nickel = 3 cm2A bronze = 6 cm2Elasticity modules: E chrome-nickel = 215 Gpa, E bronze = 90 GpaSafety Stresses: (σem) bronze = 100 Mpa, (σem) chromium-nickel = 600 Mpa
A stepped circular bar having diameters 20 mm, 15: mm and 10 mm over axial lengths of 100 mm, 80mm and 60mm is subjected to an axial tensile force of 5 KN. If E= 100 x 103 N/mm2 and 1/m = 0.32 for the material of bar, determine total change in length and change in each diameter.
A copper cylinder with a length of 1.5 m and diameter of 4 cm undergoes compression. Bulk Modulus (14*10^10 Pa) What will be the bulk strain of the copper rod if pressure is applied to reduce its volume to 0.00089 m3? How much pressure was applied to the copper rod? Calculate the percent change in volume of the copper rod.
Let’s consider a rod having a solid circular cross-section with diameter of 6 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 F is subjected to that rod cross-section, the diameter becomes 5.998 mm. determine the applied force F. Select one: F = 6283 N F = 10472 N F = 4189 N F = 5236 N F = 13090 N F = 15708 N