6. In Fig. 6, a 1.5 m long cantilever beam with a circular cross section (R = 100 mm) and two symmetrically positioned longitudinal holes is loaded by a concentrated force P at its tip. The material is a titanium alloy with a 600 MPa maximum allowed working stress when bent. Find the maximum permitted vertical force P value. 1.5m 8 Radius-R-100 mm dius of hole -

6. In Fig. 6, a 1.5 m long cantilever beam with a circular cross section (R = 100 mm) and two symmetrically positioned longitudinal holes is loaded by a concentrated force P at its tip. The material is a titanium alloy with a 600 MPa maximum allowed working stress when bent. Find the maximum permitted vertical force P value. 1.5m 8 Radius-R-100 mm dius of hole -

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: An aluminum alloy [E = 73 GPa; v = 0.33; a= 23.0 x 10-6/°C] plate is subjected to a tensile load P.…

Q: Punch Aluminum =4 mm d-20 mm

A: Given that t=4 mmd= 20 mmUltimate shear stress = 280 Mpa

Q: 904. To avoid interference, a link in a certain machine is de- signed so that its cross-sectional…

Q: A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of…

A: Given:Outside diameter of pipe, D=240 mmWall thickness=10 mmInside diameter of pipe, d=240-2×10…

Q: The normal and shear stresses acting on element A are 6,650 psi, 17,600 psi, and 2,700 psi (see part…

Q: A 2-m long steel rod, 10-mm in diameter, is carrying a load of 20 kN. (a) what is the axial stress…

A: This question is related to the Strength of material. In this question we calculate axial stress and…

Q: small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this…

A: Calculating the reactions:

Q: A copper bar (d = 20 mm, E= 120 GPa) is loaded by a compressive load of 15 kN. The maximum shear…

Q: An aluminum alloy [E = 69 GPa; v = 0.33; a = 23.0 x 10-6/°C] plate is subjected to a tensile load P.…

Q: A bar obtained by bonding together pieces of steel (E = 29 x 106 psi) and brass (E = 15 106 psi) has…

A: Given : Es = 29 X 106 psi Eb = 15 X 106 psi M = 40 kip-in. This is a problem of Solid mechanics…

Q: 50mm (for BC), find the average normal stress in each road and the total deformation of road AB and…

Q: PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the…

Q: A 500mm ferromagnetic Iron ball weighs W = 64.4 lbs was allowed to free fall where a strong magnet…

A: FV = (W-Fd ) = (64.4 - 4.7) = 59.7lbf FH = Fm = 32.2lbf

Q: Two cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that the…

Q: A rigid plate C is used to transfer a 20-kip load P to a steel (E = 30,000 ksi) rod A and to an…

A: Detailed solution is provided below :

Q: A small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: A circular aluminum alloy [E = 70 GPa; a = 22.5 × 10-6/°C; v = 0.33] pipe has an outside diameter of…

Q: 1.4 Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly…

Q: A small aluminum alloy [E = 62 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: Q.1. A. For a hollow steel tube with an inside diameter of 120 mm and outside diameter of 138,…

Q: An aluminum tube with the hexagonal cross-section shown is 2.5 ft long and has a constant wall in.…

A: Given data- An aluminium tube with hexagonal cross section Length (L) = 2.5 ft Constant Wall…

Q: For the beam geometry shown, determine the following: a. Cracking moment b. Has the beam section…

A: Mapp = Applied moment = 34KN .mfc'=Concrete strength=28MPaAs=Area of steel=1935m*m2n=Modular ratio=9…

Q: A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of…

A: Given: Modulus of elasticity =E Coefficient of thermal expansion Outside diameter Thickness Length…

Q: A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of…

Q: 9. A titanium T-bar having cross-sectional dimensions shown in Fig.9 is 320mm long and cantilevered…

Q: The side plating of an aluminium alloy deckhouse 2.28 m high is subjected to an average longitudinal…

A: Given- Height h= 2.28 m average longitudinal compressive stress = 30.9 MN/m². E = 69500 MN/m².…

Q: hollow titanium [G= 46 GPa] shaft has an outside diameter of D = 56 mm an tress in the shaft must be…

Q: A small aluminum alloy [E = 71 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: A small aluminum alloy [E = 79 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: small aluminum alloy [E = 74 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: A circular aluminum alloy [E = 70 GPa; a = 22.5 × 10-6/°C; v = 0.33] pipe has an outside diameter of…

A: Given data E = 70 GPA α = 22.5 × 10-6 /°C μ = 0.33 Drop temperature (∆T) = -43° C Length of…

Q: Answer: P = %3D Save for Later Using multiple attempts will impact your score. 5% score reduction…

Q: A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of…

Q: A small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this…

A: Given, There is a simply supported beam. Our aim is to determine the Load (P) value. So let's…

Q: A small aluminum alloy [E = 61 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: A small aluminum alloy [E = 76 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: A solid aluminum (E = 70 GPa] rod (1) is connected to a solid bronze (E = 93 GPa] rod (2) at flange…

Q: P ЗР Strain gage- d 1.1,1,P.. E H

Q: A small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this…

Q: A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of…

Q: What is the applied load P

Q: A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v=0.33] pipe has an outside diameter of…

Q: A small aluminum alloy [E = 80 GPa] tee shape is used as a simply supported beam as shown. For this…

Concept explainers

British Gravitational Bg System Of Units

Measuring is the comparison of a particular physical quantity with its reference value. A unit is a fixed physical quantity. The length is a physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with. 

Question

6. In Fig. 6, a 1.5 m long cantilever beam with a circular cross section (R = 100 mm) and two symmetrically positioned
longitudinal holes is loaded by a concentrated force P at its tip. The material is a titanium alloy with a 600 MPa
maximum allowed working stress when bent. Find the maximum permitted vertical force P value.
1.5 m
Radius= R = 100 mm
Radius of hole =

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

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step by step

Solved in 7 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A small aluminum alloy [E= 77 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 160 mm. The cross- sectional dimensions of the tee shape are b= 22 mm, d = 33 mm, and t= 4 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 410 uɛ is measured from a strain gage located at c = 10 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? %3D %3D %3D 3P Strain gage E Answer:
A 5.2-m-long aluminum tube (1) is to be connected to a 2.2-m-long bronze pipe (2) at B. When put in place, however, a gap of 9 mm exists between the two members, as shown. Aluminum tube (1) has an elastic modulus of 69 GPa and a cross-sectional area of 1980 mm2. Bronze pipe (2) has an elastic modulus of 93 GPa and a cross-sectional area of 3970 mm2. If bolts are inserted in the flanges and tightened so that the gap at B is closed, determine: (a) the normal stresses ?1, ?2 produced in each of the members. (b) the displacement (change in length of material (2), up is positive) uB of flange B with respect to support A. 5.2 m 2.2 m Answers: (a) 0₁ = (b) Ug = C (1) B (2) -95.40 1.126 9 mm MPa, 0₂ = mm. -47.58 MPa
a steel tube sandwiched between two rods, one of aluminum and the other of bronze, and as shown in Fig. 110 - P. The axial loads indicated. Calculate the maximum value of P so that the stress does not exceed in aluminum, MPa 80, in steel 150 MPa, and in bronze 100 MPa.
A circular aluminum alloy [E = 70 GPa; a = 22.5 × 10-6/°C; v = 0.33] pipe has an outside diameter of 215 mm, a wall thickness of 12 mm, and a length of 4.3 m. The pipe supports a compressive load of 695 kN. After the temperature of the pipe drops 43°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer: (a) ō = i AD = i mm mm
A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of 270 mm, a wall thickness of 15 mm, and a length of 5.5 m. The pipe supports a compressive load of 635 kN. After the temperature of the pipe drops 45°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer: (a) 8 = i AD= i mm mm
A 5 mm thick hollow steel rectangular tube must carry a tensile load of 200 kN. If the stress is limited to 100 MPa, which of the following sections can carry the given load. *
A hollow titanium [G = 43 GPa] shaft has an outside diameter of D = 46 mm and a wall thickness of t = 1.23 mm. The maximum shear stress in the shaft must be limited to 118 MPa. Determine: (a) the maximum power P that can be transmitted by the shaft if the rotation speed must be limited to 22 Hz. (b) the magnitude of the angle of twist in a 830-mm length of the shaft when 17 kW is being transmitted at 9 Hz. Answers: (a) P = (b) = i kW. O
A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of 185 mm, a wall thickness of 5 mm, and a length of 5.0 m. The pipe supports a compressive load of 675 kN. After the temperature of the pipe drops 39°C, determine:(a) the axial deformation of the pipe.(b) the change in diameter of the pipe.
TWO SOLID CYLINDRICAL RODS ARE JOINED AT B AND LOADED AS SHOWN. ROD AB IS MADE OF STEEL (E = 210 GPa) AND ROD BC OF BRASS (E = 108 GPa). DETERMINE (A) THE TOTAL DEFORMATION OF THE COMPOSITE ROD ABC, (B) THE DEFLECTION OF POINT B. 40 KN 400 mm 600 mm A B C 30 mm 50 KN 50 mm
A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v=0.33] pipe has an outside diameter of 225 mm, a wall thickness of 15 mm, and a length of 5.0m. The pipe supports a compressive load of 670 kN. After the temperature of the pipe drops 48°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer: (a) 8 = mm AD= i mm
The solid shaft, made of three different materials, carries the two torques shown. (a) Calculate the maximum shear stress in each material. (b) Find the angle of rotation of the free end of the shaft. The shear moduli are 28 GPa for the aluminum, 83 GPa for steel and 35 GPa for bronze. Aluminum 100 mm -3 m- 4 kN.m Steel 75 mm -2 m 1.5 kN - m Bronze |--15m-l
1/2 Problem 1: Two solid cylindrical rods AB and BC are welded together at B and loaded as shown in. If the stress must not exceed 14OMPA in either rod, determine the smallest allowable value of the diameter of rod AB and ВС. 300mm B 40 kN 250mm - d2 30 kN