you are analyzing the maximum stress of a rectangular cross-section beam supported at both ends with a single load in the middle. The base is varied by a factor of 5 by what factor does the max stress vary to keep all other parameters constant.

you are analyzing the maximum stress of a rectangular cross-section beam supported at both ends with a single load in the middle. The base is varied by a factor of 5 by what factor does the max stress vary to keep all other parameters constant.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.4P: A steel cable with a nominal diameter of 25 mm (see Table 2-1) is used in a construction yard to...

See similar textbooks

Related questions

Q: Refrigerant-134a, at 1.5 MPa, 90 °C, is to be cooled by air to a state of 1 enters at 110 kPa, 25 °C…

A: For refrigerant-For air-

Q: Question 1 (a) Water is the working fluid in a Rankine cycle. Superheated vapor enters the turbine…

A: The steam enters the turbine at .The condenser pressure is .The efficiency of turbine is .The…

Q: 10. Find the total deflection of the gear tooth contact point where F₂ is applied. Be sure to…

Q: Find the reaction forces & cables forces & cables total length

A: Find the reaction forces & cables forces & cables total length.

Q: For the vertical rod as shown, find the deflection at A and the stress distribution. Use E-100 MPa…

Q: A couple acts on a beam as shown below. (Figure 3)lf x = 1.50 m, h 0.45 m, and F = 930 N, what is…

Q: 1.42 As shown in the right Figure, a small-diameter water pipe passes through the 6-in.-thick…

Q: the crown to be ρc. What is the ratio of the crown's apparent weight (in water) Wapparent apparent…

Q: *4-23. Replace the loading on the frame by a single resultant force. Specify where its line of…

Q: 4-12. A force of 80 N acts on the handle of the paper cutter at A. Determine the moment created by…

A: F=80 Nθ=60°

Q: 3) Determine the resultant force and specify where it acts on the beam measured from A.

A: Given:Find:the resultant force and its location from point A.

Q: result of an hydrostatic pressure experi

A: Overview a hydrostatic pressure experiment typically involves providing a detailed analysis of the…

Q: Four stress elements are shown below. All members have the same value for E (Young’s Modulus) and ν…

A: Youngs modulus (E) is same.poissions ratio (v) And different axial loads and different poissions…

Q: Find the transfer function from force u to posi- tion y Y

A: Given:To find:Transfer function .

Q: 4-22. Determine the magnitude and direction of force F and its placement d on the beam so that the…

A: Determine the magnitude and direction of force F and its placement d on the beam so that the loading…

Q: Water flows at a rate of 2.4 ft³/s in an old, rusty 7.8-in.-diameter pipe that has a relative…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: or the case of a parabolic trajectory, what is the relationship between the flight and the true…

A: To explain the relation between flight path angle and true anomaly

Q: Saturated air at 40°F (4.4°C) is first preheated and then saturated adiabatically. This saturated…

Q: A puck weighs 9 lb and rests on the center of the frictionless surface of the ramp supported in…

A: Given:To Find:(a) Normal force the ramp exerts on the puck.(b) Tension in each of the two ropes.

Q: 4. Determine the composition range in which the Tl-Pb alloy at 350°C is (a) fully liquid, (b) fully…

Q: BFW - Pump 4 7 BEWS [Boiler] known: Qin Skam Turbine Ⓒmp = 5.10⁰ kg/ 45/ Ⓒ Bock work ratio Mix ©…

Q: 1. A space shuttle orbiter is subjected to thrusts from five of the engines of its reaction control…

A: Fifth thrust force = 850 NSystem of forces acting on the aircraft as shown in the given figure.

Q: An aluminum stepped shaft (E For P1= 100 lb, P2 = 128 lb, L; L1= 2.5 in, L2= 2.0 in, L3 = 1.0 in,…

A: The young modulus of the aluminum shaft, The forces,The length of the section CD, The diameter of…

Q: Need help understanding how to tackle this textbook problem: Steam turbine operates under steady…

A: The schematic diagram of the steam turbine along with its energy and mass interactions between the…

Q: Q2) 3-40 The gage pressure of the air in the tank shown in Fig. P3 40 is measured to be 65 kPa.…

Q: The uniform slender rod shown in (Figure 1) has a mass of 8.0 kg. Figure 200 mm 600 mm- ▾ Part A If…

Q: A 6-kg uniform cylinder can roll without sliding on a horizontal surface and is attached by a pin at…

A: GivenMass of the cylinder = 6 kgMass of the bar = 4 kgLength of the bar = 12 mm = 0.012 mSpring…

Q: Calculate μ, Cv, K, and Pr for oxygen at 100, 300, and 1000 K, and 1 atm. Compare your calculated…

Q: A particle moves in a circuler patu and starts from rest as shown. The acceleration along. the path…

A: Given:To find:(a) Position of the particle after 2 s.(b) Velocity of the particle after 2 s.(c)…

Q: P11.33 A propped cantilever beam is loaded as shown in Figure P11.33. Assume that EI = 24 × 106…

A: The free-body diagram of the given beam with the load is shown below.

Q: For this problem, Block D v =16 cm / s to the left & a = 30 cm/ (s ^2) to the right in the…

A: The velocity of point D is The acceleration of point D is

Q: -22.5 ft- 10.8 kips B 35 ft 10.8 kips с 12 ft Using the method of joints, determine the force in…

Q: Complete and submit the Matlab code provided below that finds the maximum of the function f(z) = 12x…

A: Given:To find:MATLAB code to find the maximum of the function, f(x).

Q: 2. Suppose you wish to use a spinning cylinder to create lift for an aircraft. A cylinder of radius…

Q: 1) A shaft, mounted in bearings at A and D, holds pulleys at B and C. All forces shown represent…

Q: 4-142. Replace the loading acting on the frame by an equivalent resultant force and specify where…

A: Here we will apply the force equilibrium equation to get the resultant force and moment balancing to…

Q: Lire 0.5 m 2.5m 1 of 1 Part A Determine the magnitude of the moment of the force F = {50i- 21 j-…

A: Force vector F = co-ordinates of A : (0 , 2 , 0)co-ordinates of B : (3.5 , 2.5 , 0)co-ordinates of D…

Q: A right angled member is attached at its ends and subjected to two distributed forces along both…

Q: Consider the beam in the figure below. Take w = 4 kip/ft and P = 12 kip. Point E is just to the left…

A: The distributed load is .The point load is

Q: 5. What is the degree of freedom if the number of independent equations are 5 and the number of…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Problem 3 A spring-loaded piston-cylinder device contains 1 kg of carbon dioxide that is initially…

A: Assume CO2 acts as ideal gas for analysis.Consider ideal gas equation. ......…

Q: Two thick walls are separated by a vacuum gap of thickness L. A cylinder of diameter D runs between…

A: Given:To find:(a) Derive the expression for the shape factor.(b) Determine the value of the shape…

Q: 12. The composite bar in the figure is stress-free before the axial loads PI and P2 are applied.…

A: FBD of each material :where δal is shortening length δst is lengthening lengthδbr is also…

Q: Can you show me how to read that psychometric chart, please!

Q: You need to produce a Ci-Ni alloy having minimum yield strength of 20,000psi, a minimum tensile…

A: Required properties for Cu-Ni alloy:Minimum yield strength (σy) = 20,000 psiMinimum tensile strength…

Q: on the plate by a wrench. Specify the magnitude of the force and couple moment for the wrench and…

Q: A gas mixture consists of 1 kg of N2 and 1.5kg of He. Determine: Mass fractions (m) of: 1. N2: 2.…

A: Given Mass of N2= 1kgMass of He= 1.5 kg

Q: Consider a forced vortex in water (density is p = 1000 kg m-³), where the velocity components are…

Q: Given P=30kN. Using the Method of Joint, determine the force in Member FG (in kN). (positive…

A: According to the given dataP=30kNThe free-body diagram is drawn belowWe need to findForce in the…

Q: In the crane shown, assume that the horizontal arm of the crane weighs 200 kg/m. If a counterweight…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

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: Write the expression to find out the maximum stress of a rectangular cross-section beam:

VIEW

Step 2: Find out the factor by which the max stress vary to keep all other parameters constant:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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 seesaw weighing 3 lb/ft of length is occupied by two children, each weighing 90 lb (see figure). The center of gravity of each child is 8 ft from the fulcrum. The board is 19 ft long, 8 in. wide, and 1.5 in. thick. What is the maximum bending stress in the board?
A round bar of 10 mm diameter is made of aluminum alloy 7075-T6 (see figure). When the bar is stretched by axial forces P, its diameter decreases by 0.0 16 mm. Find the magnitude of the load P. Obtain the material properties from Appendix 1.
A large precast concrete panel for a warehouse is raised using two sets of cables at two lift lines, as shown in the figure part a. Cable 1 has a length L1 = 22 Ft, cable 2 has a length L2= 10 ft, and the distance along the panel between lift points Band D is d = 14 ft (see figure part b). The total weight of the panel is W = 85 kips. Assuming the cable lift Forces F at each lift line are about equal, use the simplified model of one half of the panel in figure part b to perform your analysis for the lift position shown. Find the required cross-sectional area AC of the cable if its breaking stress is 91 ksi and a factor of safety of 4 with respect to failure is desired.
A steel cable with a nominal diameter of 25 mm (see Table 2-1) is used in a construction yard to lift a bridge section weighing 38 kN. as shown in the figure. The cable has an effective modulus of elasticity E = 140 GPa. (a) If the cable is 14 m long, how much will it stretch when the load is picked up? (b) If the cable is rated for a maximum load of 70 kN, that is the factor of safety with respect to failure of the cable?
you are analyzing the maximum stress of a rectangular cross-section beam supported at both ends with a single load in the middle The length is varied by a factor of 1.58 by what factor does the height vary to keep all other parameters constant
700N M-150UNm 2m 3m For the above dlagram, given that F, - 450 N. 0-45 degrees and d-5 m calculate the following (neglect the depth of the beam). Note that there is a pin support at A and a roller support at B. The magnitude of the horizontal component of the reaction force at A, Rar. Please provide the answer in Newtons and report to three significant figures. Please Include the unit ("N") within your answer (eg. If the calculated answer was 55.562 Newtons please Input: 55.6 N). Answer: The magnitude of the vertical component of the reaction force at A, Rar. Please provide the answer in Newtons and report to three significant figures. Please include the unit ("N") within your answer (eg. If the calculated answer was 55.562 Newtons please Input: 55.6 N). Answer: The magnitude of the horizontal component of the reaction force at B. Re. Please provide the answer in Newtons and report to three significant figures. Please Include the unit ("N") within your answer (eg. If the calculated…
A steel beam of I cross-section is simply supported on a span of 4m. Find the safe uniformly distributed load the beam can carry if the tensile stress is not to exceed 26 N/mm2. Also find the maximum compressive stress.
Read the question carefully and give me right solution according to the question.. Please answer all. Don't miss anything. Figure 5 shows a rigid horizontal beam ABCE which is supported by a pair of rectangular bars CD at C. The cross-sectional size of each of the rectangular bar is 37.5 × 12.5 mm. Modulus of elasticity of the bar is E=80 GPa. Vertical loads of 17.5 kN and 35 kN act at points B and E, respectively.Compute:i) Vertical displacement of point Bii) Vertical displacement of point EIf it is given that the allowable displacement of point C is 1 mm, determine the minimum thickness of rectangular bar CD required. The width of the rectangular bar should be kept unchanged at 37.5 mm.
The beam supports the triangular distributed load shown below with Wmax = 900 lb/ft. The reactions at A and B are vertical. (Figure 1) Figure AT PORCE 6 ft D 6 ft C 6 ft W IB TODAY E 4.5 ft 4.5 ft Part A Determine the magnitude of the resultant internal normal force on the cross section at point D. Express your answer in kilopounds to three significant figures. ND= Submit Part B Vp= Submit Part C ΠΙΑΣΦΗΜ Mp= Avec Submit Request Answer Determine the magnitude of the resultant internal shear force on the cross section at point D. Express your answer in kilopounds to three significant figures. ΠΙΑΣΦΩΤ Request Answer n Request Answer vec 1 → C vec S S ? Determine the magnitude of the resultant internal bending moment on the cross section at point D. Express your answer in kilopound-feet to three significant figures. [Γ]ΑΣΦ [4 O I ? kip ? kip kip.ft
Mechanics of Deformable Bodies Please write the complete solutions and Legibly. Thumbs up will given! A W 310 X 52 steel beam is subjected to a point load P = 56 kN and a transverse load V = 15kN at B. The beam has length L = 2 m. See the table for beam properties. (Assume that the structure behaves linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified. (Do not use rounded intermediate values in your calculations) (a) Calculate the principal normal stresses and the maximum shear stress on element D located on the web right below the top flange and near the fixed support. Neglect the weight of the beam. (Enter your answers in MPa. For the normal stresses, use the deformation sign convention. For the shear stress, enter the magnitude.) σ1 = MPa σ2 = MPa τmax =…
You are required to size member FI of the truss shown at right using Western lumber with the following properties:• Yield stress in compression: 2100 psi• Yield stress in tension: 1300 psi• Modulus of elasticity 1700 ksi.Use a factor of safety of 2.0. For the selected section:c. Calculate the stress and the strain in member FId. Calculate the deflection of member FI; specify if elongation or shortening.
Consider a 2-meter simply supported beam with a circular cross section. The beam is subjected to a point load of 1000N at its center. What is the minimum diameter (in meters) of the beam necessary for the normal stress to remain below 10MPa?