A single vertical force P is applied to a short steel post as shown.P is eccentrically loading the beam at a distance 2.5"P = 150 kDetermine the Total Stress at points A, B and C15"3"determine the strain at each pointknowing E = 29,000 ksi5 in.Hint, the moment value is NOT at the top. You will have either draw the momentdiagram or take a FBD at the section. Also, the support is a FIXED. This is a cantileverbeam. If you are drawing the V & M diagram, think of it like this

o, = Eɛ, Here. E is the young's modulus and 6, is the strain at A Substitute 29x10 psi for E and…

A single vertical force P is applied to a short steel post as shown. P is eccentrically loading the beam at a distance 2.5" P = 150 k Determine the Total Stress at points A, B and C 15" 3" determine the strain at each point knowing E = 29,000 ksi 5 in

A single vertical force P is applied to a short steel post as shown. P is eccentrically loading the beam at a distance 2.5" P = 150 k Determine the Total Stress at points A, B and C 15" 3" determine the strain at each point knowing E = 29,000 ksi 5 in

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 7.2.17P: A simply supported beam is subjected to point load P at mid-span. The normal stress on an element at...

See similar textbooks

Related questions

Q: Two bars are used to support a load P. When unloaded, AB is 5 in. long, AC is 8 in. long, and the…

Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…

A: Answer: (a) Average normal strain = 0.0833 in./in. (b) Circumfential strain = 0.0833 in./in.

Q: 4. The control linkage of an airplane consists of a rigid member DBC and a flexible cable AB. A…

Q: Part of a control linkage for an airplane consists of a rigid member CBD and a flexible cable AB.…

A: To find (a) The normal strain in cable AB initially when member CBD rotates by 0.3°. (b) The…

Q: 6. Determine the lateral strain, in mm/mm, in the 5 mm diameter aluminum T6 rod when P = 8 kN. Use L…

A: Given:P=8 KNL=400 mmν=0.35E=70 GPa

Q: A 150mm x 250 mm simply supported wood beam is reinforced with a steel plate of width attached at…

A: Given: To determine the width b of the steel plate.

Q: 7.5-1 A rectangular steel plate with thickness 1 = 16 mm is subjected to uniform normal stresses o,…

A: The stresses in the plate can be calculated using the following equations- εx=σxE-μσyEεy=σyE-μσxE…

Q: Two hard rubber blocks [G = 367 kPa] are used in an antivibration mount to support a small machine,…

A: Given Data LOad =948 N a=20 mm b=50 mm c=80 mm Two shearing surface SHear area =2bc=2(20)(50)=2000

Q: copper shaft of 50 mm diameter enclosed within a steel tube 15 mm thick. This composite bar is…

A: sol: given, L=400mm dc=50mm inner diameter of steel tube,(ds)i=50mm outer…

Q: The following piece is originally rectangular Determine the average normal strain that occurs along…

A: Consider the diagram of the given figure with proper dimensions as shown below, From the diagram…

Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…

A: INTRODUCTION: As we know, strain is always the change in body dimension to the original body…

Q: Tube with 100 mm long and 20 mm diameter. If the axial load is 30or .applied to it. Determine the…

Q: A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the…

Q: 10 ksi, oy -4 ksi, and o, = 8 ksi. Using E = The normal stresses at a point in a steel member are o,…

A: Answer: The normal strain along z is (0.2138 × 10-3) in/in.

Q: The normal stresses at a point in a steel member are σx = 8 ksi, σy = -4 ksi, and σz = 10 ksi. Using…

Q: sions of the tee shape are b- 22 mm, d- 33 mm, and t 4 mm. After loads are app rmal strain of 410 He…

A: To find : calculate applied load P. Given; Eal=77 GPa cross section dimension of beam at different…

Q: Determine the lateral strain, in mm/mm, in the 5 mm diameter aluminum T6 rod when P = 8 kN. Use L =…

A: Given:-P=8 kNL=400 mmE=70 GPa=70×109 Pav=0.35To find:-Lateral strain

Q: PROBLEM 1: If the applied force P causes the rigid arm ABC to rotate clockwise about pin A through…

A: Given: The rotation of arm ABC, θ = 0.04o

Q: 40 60 A circle of 200 mm dia. is drawn on a mild steel plate before it is subjected to two mutually…

A: Given, d = Diameter of the circle = 200 mm σx= Normal stress in horizontal direction = 160 MPa σy=…

Q: 2.31 The normal stresses at a point in a steel member are dx = 8 ksi, ay = -4 ksi, and ₂ = 10 ksi.…

Q: Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB. 800…

A: Given Data : CB is rigid member having length L= 800mm AB is flexible cable distance AC = 600mm…

Q: 1. A 1.5-m long circular cross-sectioned bar with r = 1 cm is under a combination of bending moment…

A: DISCLAIMER FOR MULTIPART FROM BARTLEBYSince you have posted a question with multiple sub-parts, we…

Q: A steel cable is used to support an elevator cage at the bottom of a 1900-ft-deep mineshaft. A…

A: Given Data: ◆ The uniform normal strain in the cable due to weight of the cage: εuniform = 240…

Q: A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the…

Q: 1. The following state of strain has been determined on the surface of a cast-iron machine part: =-…

Q: The strain components ɛx = 520 µE, ɛ, = 800 µɛ, and yxy = -350 µrad are given for a point on the…

Q: The normal stresses at a point in a steel member are o, = 8 ksi, a, = -4 ksi, and a, = 10 ksi. Using…

A: Given Data: Poisson's ratio, v=0.3 Elastic modulus, E=29x103 ksi

Q: 3) An eccentric force P is applied as shown in Fig. 2 to a steel bar of 25 x 90-mm cross section.…

Q: Tube with 100 mm long and 20 mm diameter. If the axial load is 300ON is applied to it. Determine the…

Q: b) Define volumetric strain. Prove that the volumetric strain fora rectangular bar subjected to an…

Q: The tensile member shown, 60 mm x 90 mm in cross section is subjected to a load P=300 kN. The plane…

A: Given Data: The width of the cross-section is, b=60 mm. The depth of the cross-section is, d=90 mm.…

Q: 3. The tensile member shown, 60 mm x 90 mm in cross section is subjected to a load P=300 kN. The…

A: Given Data: The cross-section is 60 mm×90 mm. The load is P=300 kN. The free-body diagram of the…

Q: H.W.2: The load P produces an axial strain of -1,800 ue in post (2). Determine the axial strain in…

Q: The assembly shown below is subjected to the load P applied at 30°. The cylindrical pins at A, B, C,…

Q: A 60˚ strain rosette measures the following strain at a point on the aluminum skin ofan airplane. ϵ0…

A: Solution:

Q: If the load P= 60N on the beam causes the end C to be displaced 10 mm downward: a) determine the…

A: Given-Data:- P=60N Assuming the length BD=4m To-Find:- a) Normal Strain in BD b) Shear Stress in…

Q: 12. A single strain gage is cemented to solid 96-mm-diameter aluminum shaft at an angle B = 20° with…

Q: The plate shown in Figure is fixed connected along with AB and held in the horizontal guides at its…

A: When the plate is deformed then in that case the diagonal AC becomes AC'. Then from the pythagoreous…

Q: The 60o strain rosette is mounted on a beam. The following readings are obtained for each gage: ϵa =…

A: Write the given data:

Q: A thin rectangular plate is uniformly deformed, as shown. Determine the shear strain yy at P. Assume…

A: Given data: a=1350 mmb=850 mmc=1 mmd=1 mm Need to determine the shear strain.

Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…

A: Given data Initial Diameter = d = 1.95 inFinal Diameter = D =2.05 in

Q: 6. Determine the lateral strain, in mm/mm, in the 5 mm diameter aluminum T6 rod when P = 8 kN. Use L…

Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…

A: Find the strain along diameter and circumferential .

Q: When an axial load is applied to the ends of the bar shown, where L₁ = 30 in. and L₂ = 80 in., the…

A: Given data: L1 = 30 in and L2 = 80 in Total Elongation = 0.1 in Normal strain in segment (1) =…

Q: The specification of a cylindrical vessel are as follows: D = 350 mm %3D t = 12 mm P = 4.5 MPa…

Q: The normal stresses at a point in a steel member are σx = 8 ksi, σy = -4 ksi, and σz = 10 ksi. Using…

Q: Assume that a 20mmø rivet joins the plates that are each 110mm wide. The allowable stresses are 120…

Question

A single vertical force P is applied to a short steel post as shown.
P is eccentrically loading the beam at a distance 2.5"
P = 150 k
Determine the Total Stress at points A, B and C
15"
3"
determine the strain at each point
knowing E = 29,000 ksi
5 in.
Hint, the moment value is NOT at the top. You will have either draw the moment
diagram or take a FBD at the section. Also, the support is a FIXED. This is a cantilever
beam. If you are drawing the V & M diagram, think of it like this

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 7 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

A 4.75-in, outside diameter polyethylene pipe designed to carry chemical waste is placed in a trench and bent around a quarter-circular 90° bend (see figure). The bent section of the pipe is 52 ft long. Determine the maximum compressive strain If the normal strain cannot exceed 6.1 × 10-3 , what is the maximum diameter of the pipe? If d = 4.75 in., what is the minimum acceptable length of the bent section of the pipe?
A prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial centroidal load P = 10 kips. Determine the complete state of stress acting on an inclined section pq that is cut through the bar at an angle W = 35", and show the stresses on a properly oriented stress element.
.4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the stresses on an inclined section through the element at an angle ? = 45°.
A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.
The normal stress on an elastomeric rubber pad in a test machine is av= — 100 psi (sec figure). Assume E = 312 psi and shear modulus G = 105 psi. (a) Calculate the strains in the pad in the .y, \\ and - directions, (b) Calculate the unit volume change of the rubber
A cube of cast iron with sides of length a = 4.0 in. (see figure) is tested in a laboratory under triaxialsire.ss. Gages mounted on the testing machine show that the compressive strains in the material arc a = -225 X l06and,ay = 37.5 X l0_. Determine the following quantities: (a) the norm al stresses i. r,.. and acting on the x, y, and z faces of the cube; (b) the maximum shear stress r in the material; (C) the change ..W in the volume of the cube: (d) the strain energy U stored in the cube; (e) the maximum value of s when the change in volume must be limited to O.O28%; and (f) the required value of when the strain energy must be 38 in.-lb. (Assume £ = 14,000 ksi and v = 0.25.)
A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
Solve the preceding problem if the norm al and shear stresses acting on the element are sx = 2100 kPa, sy= 300 kPa, and txy= -560 kPa, and the seam is oriented at an angle of 22.5° to the clement.
A simply supported beam is subjected to point load P at mid-span. The normal stress on an element at mid-span is known to be ??x= 1.5 ksi. Determine the element stresses lilt is rotated through angle ? = 450• Show these stresses on a sketch of an element oriented at that angle.
A short column with a wide-flange shape is subjected to a compressive load that produces a resultant force P = 55 kN acting at the midpoint of one flange (see figure). Determine the maximum tensile and compressive stresses asand o^., respectively, in the column, Locate the neutral axis under this loading condition. Recompute maximum tensile and compressive stresses if a 120 mm X 10 mm cover plate is added to one flange as shown.
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?
1 A rectangular steel plate with thickness t = 5/8 in. is subjected to uniform normal stresses a and ., as shown in the figure. Strain gages A and B. oriented in the x and v directions. respectively, arc attached to the plate. The gage readings give normal strains = 0.00065 (elongation) and £. = 0.00040 (elongation). Knowing that E = 30 X 106 psi and v = 0.3, determine the stresses c7 and a, and the change .11 in the thickness of the plate.