Complete solution 2PSteel:A= 500 mm?, = 120 MPaTimber:1.8 Find the maximum allowable value of P for the column. The cross-sectional4P A= 2000 mm²σ.-12 MPaareas and working stresses (a,) are shown in the figure.Concrete:A = 8000 mm?o,- 16 MPaFIG. P1.8

Given Take the last column only Stress = 120 MPa Area, A = 500 mm2 Find Load, P

Answered: 1.8 Find the maximum allowable value of…

1.8 Find the maximum allowable value of P for the column. The cross-sectional areas and working stresses (a.) are shown in the figure.

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 7.2.4P: .4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the...

See similar textbooks

Related questions

Q: Q1/A steel bar ABCD (4m) long is subjected to forces as shown in Figure. Find the stresses in each…

Q: 4. The lap joint is connected by three 20-mm-diameter rivets. Assuming that the axial load P=50 kN…

A: a.Shear stress in rivet:ss=PAs=50×1000π4×20×20×3=53 MPa

Q: 4- find Pmax that can be applied if B Talt(tension ) = 100 MN/m² 8 m 6 m Talt(comp) = 80 MN/m2 A=30…

Q: For the state of plane stress shown in Figure-1. below; a) Draw Mohr's circle, b) Find the maximum…

A: Given Data: The stress in the x-direction is, σx=-20 MPa. The stress in the y-direction is, σy=90…

Q: 1. Member AC shown in Fig. is subjected to a vertical force of 3 kN. Determine the position x of…

A: Given: The value of the applied load is 3 kN. Average compressive stress at smooth support C equal…

Q: 450 kN and 100 kN forces were applied to the recessed beam shown in the figure. Find the stresses at…

Q: A rod is composed of copper and steel section rigidly bolted in the wall as shown in the figure. If…

Q: A force of 120 lb is applied to the edge of the member shown in the figure below. Neglect the weight…

A: given: P=120 lb Solution: Maximum bending moment is given as : Mmax=P×4.5=120×4.5=540 lb-in

Q: A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as…

A: GIVEN DATA A COMPOSITE ROD AXIALLY LOADED GIVEN WE HAVE TO FIND STRESS IN EACH ROD Load P=3800lb…

Q: 1. In the figure shown, determine the diameter of the rod C if the allowable stress 86.60 MPa.…

Q: In figure shown, the allowable normal stress is 3.5 ksi, allowable shear stress is 1.2 ksi. Ift =…

A: (a) Draw the free-body diagram of joint A.

Q: For the beam shown in the figure, the allowable bearing stress for the material under the supports…

A: Draw a free body diagram for the problem. Equate the net moment about A to zero for static…

Q: An aluminium rod is attached between a steel rod and a bronze rod as shown in Figure-3. The axial…

Q: 1- The principal stresses or a point in the section of a member are 50 MPa or 20 MPa both tensile.…

A: To find : The normal and shear stress. Given : The principal stresses are σ1=50 MPa. σ2=20 MPa.…

Q: Q2: A rigid platform weighing 53.5 kN is supported by three equally spaced rods. The arrangement is…

A: Given that, Weight of platform, W=53.5 kN,Temperature rise, ∆T=55.5 °C, Consider the properties as…

Q: 4- Determine the stress when Temperature change from 20 C° to 60 C° . steel aluminum 20 kN 200 mm…

Q: 1. Three vertical rods AB, CD, and EF supports s load of 36 kN. Each of the rods AB and CD has a 200…

A: When an external force is applied to any body the body gets deformed. This deformation is resisted…

Q: The stress in a wire of diameter 2 mm if a load of 100 gm is applied to a wire.

Q: 1 MPa 2- For the state of stress as shown below 2 MPa a) Find principal stresses З МРа b) Draw…

A: Given:σx=3 MPaσy=1 MPaζxy=2 MPa

Q: 3. A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as…

Q: Eight steel cables (with equal distance to each other) are supporting a circular heavy moulding of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. Three vertical rods AB, CD, and EF supports a load of 36 kN. Each of the rods AB und CD has a 200…

A: When an external force is applied to any body, the body gets deformed. This deformation is resisted…

Q: As shown in the figure below, three steel wires, each 0.05 in² in area, are used to lift a load W =…

A: L1 = 64.98 ft L2 = 64.99 ft L3 = 65.00 ft A = area of each wire = 0.05 in2 W = 1300 lb It is…

Q: 2. From the system shown in the figure, obtain the forces and the average axial stress on each bar…

Q: 1. As shown in the figure, three wires with different areas and modulus of elasticity are used to…

A: When wires are drawn, they tend to extend in the longitudinal direction. This elongation depends on…

Q: For the truss shown in Figure The cross sectional area of each member is 1000 mm² Find the stresses…

Q: Q2 A steel bar of cross-sectional area 200 mm² is loaded as shown in Fig. Find the change in length…

Q: What is the absolute maximum shear stress in [MPa] of the generalised plane stress shown with Oz =…

Q: Q2-A wall bracket as shown in figure below, is subjected to a pull load of P=45KN at 60° to the…

A: Stress: When a component or a part is subjected to any external force, a resisting force will be…

Q: The figure shows 16-mm diameter bolts used to hold two steel plates by fitting inside a cylindrical…

Q: according to the given and show them on the stress element.

Q: C 800 mm 18 mm dia. Rectangular bar B D 16 mm thick 25 mm 400 mm A F - F -800 mm

A: Given Data The force given is: 24 kN The height of the complee member is: 1200 mm The thickness of…

Q: Q1/ Find the value of P for the joint shown in the figure if the allowable shear stress is 100 MPa…

Q: A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as…

Q: The pinned members shown in figure carry the loads P and 2P. All bars have cross-sectional area A.…

Q: A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as…

A: The Answer is Below

Q: For the assembly, find the stress in each rod if the temperature rises 30°C after a load W 120 kN is…

Q: A tractor weighing 80 kN was lifted by 3 cables as shown in the figure. Calculate the stress on the…

A: Given: W=Mg = 80 kN The given system will have four forces to be in equilibrium. The equilibrium…

Q: Vertical load is applied to point B of a 10 mm radius cylindrical bar as shown in the figure.…

Q: 1. Find the tensile stress in MPa in member AB shown in the figure. All connection bars have square…

Q: 2. The L-shaped rod of 50-mm diameter is subjected to the two loadings at its end as shown in FIGURE…

Q: The cross section of a concrete pier that is loaded uniformly in compression is shown in the figure.…

A: Given data: Load acting on the cross section= 2500kips The given cross section is divided into three…

Q: 1.16 The 1000-kg uniform bar AB is suspended from two cables AC and BD, each with cross-sectional…

A: Determine the tension in the rod BD.

Q: Find the hoop stress acting on a cylinder with the following information:

A: To find Hoop stress Acting on cylinder

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

Q: Q2/ for the system shown in figure find the shear stress in the bolts in (A) and (B) knowing that…

Q: In the figure, the nut is tightened by applying 450 N to a lug wrench. Show the stresses on the…

Q: For the figure shown, if the tensile force in member AB is 38 kN and the ........ allowable stress…

A: Given:TAB=38 KNσallow=120 MPa

Q: Q1) The block of weight W in the figure below hangs from the pin at A. The bars AB and AC are pinned…

Concept explainers

Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.

Question

Complete solution

2P
Steel:
A= 500 mm?
, = 120 MPa
Timber:
1.8 Find the maximum allowable value of P for the column. The cross-sectional
4P A= 2000 mm²
σ.-12 MPa
areas and working stresses (a,) are shown in the figure.
Concrete:
A = 8000 mm?
o,- 16 MPa
FIG. P1.8

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 1 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 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?
A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
A cylinder filled with oil is under pressure from a piston, as shown in the figure. The diameter d of the piston is 1,80 in. and the compressive force F is 3500 lb. The maximum allowable shear stress t^^, in the wall of the cylinder is 5500 psi. What is the minimum permissible thickness t„± of the cylinder wall? (Sec figure
A rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity E = 3,7 MPa and Poisson's ratio v = 0.48. (a) Determine the maximum stress and strain in the ball, (b) If the strain must be limited to 0.425, Find the minimum required wall thickness of the ball.
: A hollow, pressurized sphere having a radius r = 4.8 in, and wall thickness t = 0.4 in. is lowered into a lake (see figure). The compressed air in the tank is at a pressure of 24 psi (gage pressure when the tank: is out of the water). At what depth D0will the wall of the tank be subjected to a compressive stress of 90 psi?
A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
Two bars AC and BC of the same material support a vertical load P (see figure). The length L of the horizontal bar is fixed, but the angle fl can be varied by moving support A vertically and changing the length of bar AC to correspond with the new position of support A. The allowable stresses in the bars are the same in tension and compression. When the angle ft is reduced, bar AC becomes shorter, but the cross-sectional areas of both bars increase because the axial forces are larger. The opposite effects occur if the angle 0 is increased. Thus, the weight of the structure (which is proportional to the volume) depends upon the angle ft. Determine the angle ft so that the structure has minimum weight without exceeding the allowable stresses in the bars. Note: The weights of the bars are very small compared to the force P and may be disregarded.
The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.
.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°.
-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. a
- A specimen used in a coupon test has norm al stress ??. = 15 MPa (see figure). Using Mohr’s circle, find the state of stress on the element oriented at angle ? = 20° and show the full stress state on a sketch of a properly oriented element.
Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?