Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 7, Problem 7.3.2P
Repeat the preceding problem using sx= 5.5 MPa. ??y= 4 MPa. and txy= 3.2 MPa.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Write the solution for the following:
Member BC= 600 N
Member FG = -600 N
100 N
R
19
PO A
S
50 KN
Z
0.9m
Im
W
0.2m
Figure 1: Representation of the
Lamp Post with Bracket
0.85m
Note that:
Height (h)=6
Thickness (t)=20
Calculate the ff:
a. Consider that you want to evaluate a very short segment of length AL that runs along the middle
of bar SW. What is the deformation along x, y and z in terms of AL? Take the case of linear-elastic
behavior.
G = 75 gigapascals
E is 185 gigapascals
Figure 2: Detailing of the Pin Support at W
Determination of vertical displacement of Mid-Term Project pipe assembly
Find the vertical displacement at position C in the figure.
800 mm
Pipe inner diameter: 40 mm, Pipe outer diameter: 60 mm
Material: A-36 Steel
600 N
B.
-By the force 600N, the AB part of the pipe is subjected to bending and torsional loads.
BC part is subjected to bending load.
-The energy equation by this load is as follows.
Energy equation by torsional load:
400 mm
T²dx
(U), =
2GJ
Problem:
Energy equation by bending load
a) First, draw a free body diagram and the AB part
Of the bending/torsional load of the BC and
Derive the bending load equation. So
M²dx
(U) =
2EI
By applying it to the high energy formula,
Save energy and make it the same as external energy
Release to find the vertical displacement.
-The sum of the internal energy of 2 energy is as follows.
U=U: +Ub
b) Creo modeling and structural analysis
-Due to energy conservation, the sum of the internal energy U is the external due to the load 600 NGet the…
Chapter 7 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 7 - An clement m plane stress from the frame of a...Ch. 7 - Solve the preceding problem for an element in...Ch. 7 - The stresses on an element are sx= 1000 Psi. sy=...Ch. 7 - .4 The stresses on an clement arc known to be sx=...Ch. 7 - The stresses acting on element A on the web of a...Ch. 7 - Solve the preceding problem if the stresses acting...Ch. 7 - The stresses acting on element B on the web of a...Ch. 7 - An element in plane stress on the fuselage of an...Ch. 7 - The stresses acting on element B (see figure part...Ch. 7 - Solve the preceding problem if the normal and...
Ch. 7 - The polyethylene liner of a settling pond is...Ch. 7 - Solve the preceding problem if the norm al and...Ch. 7 - Two steel rods are welded together (see figure):...Ch. 7 - Repeat the previous problem using ? = 50° and...Ch. 7 - A rectangular plate of dimensions 3.0 in. × 5.0...Ch. 7 - Solve the preceding problem for a plate of...Ch. 7 - A simply supported beam is subjected to point load...Ch. 7 - Repeat the previous problem using sx= 12 MPa.Ch. 7 - At a point on the surface of an elliptical...Ch. 7 - Solve the preceding problem for sx= 11 MPa and...Ch. 7 - An clement m plane stress from the frame of a...Ch. 7 - Solve the preceding problem for the element shown...Ch. 7 - : A gusset plate on a truss bridge is in plane...Ch. 7 - The surface of an airplane wing is subjected to...Ch. 7 - At a point on the web of a girder on an overhead...Ch. 7 - -26 A rectangular plate of dimensions 125 mm × 75...Ch. 7 - -27 A square plate with side dimension of 2 in. is...Ch. 7 - The stresses acting on an element are x= 750 psi,...Ch. 7 - Repeat the preceding problem using sx= 5.5 MPa....Ch. 7 - An element in plane stress is subjected to...Ch. 7 - -4. - An element in plane stress is subjected to...Ch. 7 - An element in plane stress is subjected to...Ch. 7 - The stresses acting on element A in the web of a...Ch. 7 - The normal and shear stresses acting on element A...Ch. 7 - An element in plane stress from the fuselage of an...Ch. 7 - -9The stresses acting on element B in the web of a...Ch. 7 - The normal and shear stresses acting on element B...Ch. 7 - ‘7.3-11 The stresses on an element are sx= -300...Ch. 7 - - 7.3-12 A simply supported beam is subjected to...Ch. 7 - A shear wall in a reinforced concrete building is...Ch. 7 - The state of stress on an element along the...Ch. 7 - -15 Repeat the preceding problem using ??. = - 750...Ch. 7 - A propeller shaft subjected to combined torsion...Ch. 7 - 3-17 The stresses at a point along a beam...Ch. 7 - -18 through 7.3-22 An element in plane stress (see...Ch. 7 - -18 through 7.3-22 An element in plane stress (see...Ch. 7 - -18 through 7.3-22 An element in plane stress (see...Ch. 7 - -18 through 7.3-22 An element in plane stress (see...Ch. 7 - -18 through 7.3-22 An element in plane stress (see...Ch. 7 - At a point on the web of a girder on a gantry...Ch. 7 - The stresses acting on a stress element on the arm...Ch. 7 - The stresses at a point on the down tube of a...Ch. 7 - An element in plane stress on the surface of an...Ch. 7 - A simply supported wood beam is subjected to point...Ch. 7 - A simply supported wood beam is subjected to point...Ch. 7 - Prob. 7.4.1PCh. 7 - .4-2 An element in uniaxial stress is subjected to...Ch. 7 - An element on the gusset plate in Problem 7.2-23...Ch. 7 - An element on the top surface of the fuel tanker...Ch. 7 - An element on the top surface of the fuel tanker...Ch. 7 - An element in biaxial stress is subjected to...Ch. 7 - • - 7.4-7 An element on the surface of a drive...Ch. 7 - - A specimen used in a coupon test has norm al...Ch. 7 - A specimen used in a coupon test is shown in the...Ch. 7 - The rotor shaft of a helicopter (see figure part...Ch. 7 - An element in pure shear is subjected to stresses...Ch. 7 - An clement in plane stress is subjected to...Ch. 7 - Prob. 7.4.13PCh. 7 - An clement in plane stress is subjected to...Ch. 7 - An clement in plane stress is subjected to...Ch. 7 - An clement in plane stress is subjected to...Ch. 7 - Prob. 7.4.17PCh. 7 - -18 through 7.4-25 An clement in plane stress is...Ch. 7 - -18 through 7.4-25 An clement in plane stress is...Ch. 7 - Prob. 7.4.20PCh. 7 - -18 through 7.4-25 An clement in plane stress is...Ch. 7 - Through 7.4-25 An clement in plane stress is...Ch. 7 - -18 through 7.4-25 An clement in plane stress is...Ch. 7 - through 7.4-25 An clement in plane stress is...Ch. 7 - -18 through 7.4-25 An clement in plane stress is...Ch. 7 - 1 A rectangular steel plate with thickness t = 5/8...Ch. 7 - Solve the preceding problem if the thickness of...Ch. 7 - The state of stress on an element of material is...Ch. 7 - An element of a material is subjected to plane...Ch. 7 - Assume that the normal strains x and y , for an...Ch. 7 - A cast-iron plate in biaxial stress is subjected...Ch. 7 - Solve the preceding problem for a steel plate with...Ch. 7 - • - 3 A rectangular plate in biaxial stress (see...Ch. 7 - Solve the preceding problem for an aluminum plate...Ch. 7 - A brass cube of 48 mm on each edge is comp ressed...Ch. 7 - 7.5-11 in. cube of concrete (E = 4.5 X 106 psi. v...Ch. 7 - -12 A square plate of a width h and thickness t is...Ch. 7 - Solve the preceding problem for an aluminum plate...Ch. 7 - A circle of a diameter d = 200 mm is etched on a...Ch. 7 - The normal stress on an elastomeric rubber pad in...Ch. 7 - A rubber sheet in biaxial stress is subjected to...Ch. 7 - An element of aluminum is subjected to tri-axial...Ch. 7 - An element of aluminum is subjected to tri- axial...Ch. 7 - -3 An element of aluminum in the form of a...Ch. 7 - Solve the preceding problem if the element is...Ch. 7 - A cube of cast iron with sides of length a = 4.0...Ch. 7 - Solve the preceding problem if the cube is granite...Ch. 7 - An element of aluminum is subjected to iriaxial...Ch. 7 - Prob. 7.6.8PCh. 7 - A rubber cylinder R of length L and cross-...Ch. 7 - A block R of rubber is confined between plane...Ch. 7 - -11 A rubber cube R of a side L = 3 in. and cross-...Ch. 7 - A copper bar with a square cross section is...Ch. 7 - A solid spherical ball of magnesium alloy (E = 6.5...Ch. 7 - A solid steel sphere (E = 210 GPa, v = 0.3) is...Ch. 7 - Prob. 7.6.15PCh. 7 - An element of material in plain strain has the...Ch. 7 - An clement of material in plain strain has the...Ch. 7 - An element of material in plain strain is...Ch. 7 - An element of material in plain strain is...Ch. 7 - A thin rectangular plate in biaxial stress is...Ch. 7 - Prob. 7.7.6PCh. 7 - A thin square plate in biaxial stress is subjected...Ch. 7 - Prob. 7.7.8PCh. 7 - An clement of material subjected to plane strain...Ch. 7 - Solve the preceding problem for the following...Ch. 7 - The strains for an element of material in plane...Ch. 7 - Solve the preceding problem for the following...Ch. 7 - An clement of material in plane strain (see...Ch. 7 - Solve the preceding problem for the following...Ch. 7 - A brass plate with a modulus of elastici ty E = 16...Ch. 7 - Solve the preceding problem if the plate is made...Ch. 7 - An element in plane stress is subjected to...Ch. 7 - Prob. 7.7.18PCh. 7 - During a test of an airplane wing, the strain gage...Ch. 7 - A strain rosette (see figure) mounted on the...Ch. 7 - A solid circular bar with a diameter of d = 1.25...Ch. 7 - A cantilever beam with a rectangular cross section...Ch. 7 - Solve the preceding problem if the cross-...Ch. 7 - A 600 strain rosette, or delta rosette, consists...Ch. 7 - On the surface of a structural component in a...Ch. 7 - - 7.2-26 The strains on the surface of an...Ch. 7 - Solve Problem 7.7-9 by using Mohr’s circle for...Ch. 7 - 7.7-28 Solve Problem 7.7-10 by using Mohr’s circle...Ch. 7 - Solve Problem 7.7-11 by using Mohr’s circle for...Ch. 7 - Solve Problem 7.7-12 by using Mohr’s circle for...Ch. 7 - Solve Problem 7.7-13 by using Mohr’s circle for...Ch. 7 - Prob. 7.7.32P
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
- Solve the preceding problem for sx= 11 MPa and ??y= -20 MPa (see figure).arrow_forwardProblem # 2 U ruct ang ulaw- Ahaped block with dimensions: H=7e, 2 mm is Subjected to the length ald the wihth Increased L=127 mm, W's 127 mm, force along, is lengh. compressive decreased bu la. 7 mm by 2-54 mm : Modulus of elastíci ty for block = E = \0 × lo psi. Solve for: a) modulus of rigidity a change im height Poisson's ratio seytarrow_forwarda) A notched rectangular bar as shown in figure, subjected to a axial loading of 300 kN and the maximum stress of 1300 MPa. Find out the thickness (t) and width (w) of the plate if width is taken as 3.75 times of thickness and also find the fillet radius(r) Take theoretical stress concentration factor as 2.5. Also find out actual stress concentration factor if the notch Sensitivity is 0.7. b) State the reason for the following. (i) Providing a number of small notches rather than a long one --- (ii) Crack initiation ---- (iii) Crack propagation ---arrow_forward
- DOLII UA 13. A light elastic cord of length lo = 5.0 m and stiffness k 50 N/m is inside a fixed box with a small portion of length xo 20 cm left out of a hole on a wall of the box as shown in the figure. If the cord is pulled out of the box, a frictional force F = 25 N acts on the cord. How much work has to be done in slowly pulling out the entire length of the cord? Ans: Fllo-Ko) + E(1-M/%6) =132.25 J ealination 0 with the Answer is also mentioned in picture containing the question. Kindly check the answer before submitting the solution. do not just substitute values in expression provided in answer. Detailed solution is expected.arrow_forwardA rigid rod ABCD is supported by wires BE, CG and pretension cord that wraps over a frictionless pulley as shown in Figure Q3. Wire BE is made from steel (Est = 210 GPa) and wire CG is made from aluminium (Eat = 70 GPa). The diameter of wires BE and CG are 30 mm, respectively. If the tension of the cord connected to the rigid rod at point D is 50kN, determine, a) Internal force in each wire, BE and CG. b) Average normal strain in each wire, BE and CG c) Displacement of point D. 300 mm 250 mm 420 mm 350 mm 350 mm firin P=50kN 130°arrow_forwardSolve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa, modulus 210 GPa. and Poisson's ratio 0.29arrow_forward
- Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .arrow_forwardRepeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.arrow_forwardSolve the preceding problem for the following data:P = 160 kN,JV = 200 tN,L = 2 m,b = 95 mm, h = 300 mm, and d = 200 mmarrow_forward
- A punch for making a slotted hole in ID cards is shown in the figure part a. Assume that the hole produced by the punch can be described as a rectangle (12 mm X 3 mm) with two half circles (r = 1.5 mm) on the left and the right sides. If P = 10 N and the thickness of the ID card is 1 mm, what is the average shear stress in the card?arrow_forwardA tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?arrow_forwardThe 100 mm diameter steel bar is bored to 50 mm diameter over half its length as shown in Figure Q2. Under an axially applied torque, T the depth of plastic penetration in the hollow shaft section is 20 mm. The shear yield stress of the tube material is given as 280 MPa. a) Find the magnitude of torque applied to the shaft b) Show the state of condition (elastic, partial plasticity or fully plastic) in the solid shaft c) Calculate the depth of plastic penetration in the solid shaft, if any d) Sketch the shearing stress distribution in the solid and hollow shafts 100 mm 50 mm Figure Q2arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Stresses Due to Fluctuating Loads Introduction - Design Against Fluctuating Loads - Machine Design 1; Author: Ekeeda;https://www.youtube.com/watch?v=3FBmQXfP_eE;License: Standard Youtube License