5. The rigid beam rests on two short posts AC and BD as shown. Post AC is made from steel with E = 200 GPa and BD from aluminum with E = 70 GPa. The diameters of posts AC and BD are 25 mm and 40 mm, respectively. Determine the vertical displacement of point F on AB. 100 kN

5. The rigid beam rests on two short posts AC and BD as shown. Post AC is made from steel with E = 200 GPa and BD from aluminum with E = 70 GPa. The diameters of posts AC and BD are 25 mm and 40 mm, respectively. Determine the vertical displacement of point F on AB. 100 kN

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Determine the second moment of area (lyy) about the centroidal y-axis for a solid homogeneous beam…

Q: A built-up beam is constructed by welding two channels separated by a distance b = 1.25 in to two (5…

Q: A cantilevered beam of length L = 5 m is fixed at A. It has a moment of M = 35.0 kN⋅m applied at B…

Q: A symmetrical Inverted T section has the following specifications : Width of the web (W) = 100…

Q: For the given cantilever beam, determine the internal forces at 4 feet from the left end (point A).

Q: IV. Determine the maximum deflection of the of the following beams. 30k 12 ft 24 f = 1500 in*, E =…

A: Since you have asked multiple questions only the first question is solved for you. If you want any…

Q: A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions…

Q: Determine the height h above the base of the centroid of the cross-sectional area of the beam.…

Q: Determine the internal resisting forces and moment trans- mitted by section aa in 500 lb 300 Ib 8…

Q: A simply supported wood beam with a span of L = 15 ft supports a uniformly distributed load of w =…

A: According to the given dataL=15 inw=610 lb /ftWe need to findWidth of the cross-section(b)

Q: The structure shown below is hinged to fixed supports at A and C. The bars are each 4 in. by 4 in.…

Q: A beam is subjected to equal 19.1 kip-ft bending moments. Assume ty = t2 = ty= 1 in., d = 10 in, by=…

Q: The cross section of a bearing block is shown in the figure by the shaded area. Calculate the moment…

Q: 2. The cross-sectional dimensions of the beam shown in Figure are a = = 5.0 in., b = 6.0 in., d =…

A: The given shape can be split into five basic shapes as shown below. For the ease of the calculation,…

Q: The rectangular cross section ABCD shown below has a circular cutout of diameter d = 25.0 mm through…

Q: A cantilever beam is subjected to loading as shown where w = 2.8 kN/m, P = 9.4 kN, LAB = 2.3 m and…

Q: The beam in Fig. a is fixed supported to the wall at A and pin connected to a 12-in.-diameter rod…

A: Given data: The diameter of rod, d = 12 in. The modulus of elasticity is, E = 29×103 The moment of…

Q: Determine the second moment of area (Iyy) about the centroidal y-axis for a solid homogeneous beam…

Q: The couple M=126 kip-in. acts in a vertical plane and is applied to a beam oriented as shown.…

A: M = 126 kipTo find out :-The stress at point A

Q: 3. A shaft composed of segments AC, CD and DB is fastened to rigid walls and loaded as shown. For…

A: Solution:(a) Free Body Diagram (FBD) of the Composite ShaftFirst, let's understand the torques at…

Q: A beam is subjected to equal bending moments of M₂ = 39 kip-ft. The cross-sectional dimensions are…

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

Q: An 8-m cantilever beam has a uniformly distributed load of 12 kN.m throughout its entire length and…

Q: A beam is subjected to equal 12.1 kip-ft bending moments. Assume t = t2 = tw= 2 in., d = 12 in., b1…

A: Answer: (a) Y = 5.5 in. ; Iz = 683.33 in4 ;. Sz = 105.1282 in3. (b) Bending stress at point H is…

Q: Determine the magnitude of the moment MC for the cantilever beam, where P = 37 kips, w = 7 kips/ft,…

Q: 8

A: Step 1:Step 2:

Q: The beam is made of four aluminium plates welded together as shown in Figure 1. Knowing that E = 65…

Q: A beam is subjected to equal 14.3 kip-ft bending moments. Assume t₁ = t₂=tw 2 in., d = 14 in., b₁ =…

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

Q: w(kN/m) A Li(m) B L2(m) C

Q: The cross section of a bearing block is shown in the figure by the shaded area. Calculate the moment…

A: The above diagram consist of three simple figures : 1. Rectangle 2. Circle 3. semi-circle

Q: Beam ABC is subjected to the loading shown, where PB = 75.0 kN. The measurement corresponding to the…

A: To findDraw a free-body diagram.Determine the maximum shear force in beam ABC.GivenLoad, Length,

Q: Determine the magnitude of the vertical force C, for the simply supported beam, where w=7 kips/ft,…

Q: A built-up beam is constructed by welding two channels separated by a distance b = 1.25 in to two (5…

Q: The cross section of a wood beam carries a bending moment M of magnitude 20R lb.-in. acting at 100…

A: The bending moment is M=20R lb·in=20×993 lb·in=19860 lb·in The moment of inertia in the y direction…

Q: Situation 1| Simply Supported Beam ABCDE below carries multiple loads as shown. A built-up section…

Q: A beam is subjected to equal bending moments of M₂ = 49 kip.ft. The cross-sectional dimensions are…

Q: A simply supported beam of span 3.0 m has a cross-section 120 mm x 180mm. If the permissible stress…

A: The length of the beam is given as, L=3m The width of the beam cross-section is, b=120mm The height…

Q: The cross section of a bearing block is shown in the figure by the shaded area. Calculate the moment…

A: Given data: b=30 inh=6 inr=4 inR=8 in Need to determine the moment of inertia about the a-a axis.

Q: 3. If w-30 kN/m and L=10m, the cross section is made-up of two I-beams shown, determine the…

A: The greatest bowing second happens in a pillar, when the shear force at that segment is zero or…

Q: The cross-sectional area of a wide-flange I-beam has the dimensions shown. Obtain a close…

Q: Q2 Determine the second moment of area (lyy) about the centroidal y-axis for a solid homogeneous…

A: Given data b = 125 mm = 0.125 m d = 275 mm = 0.275 m To determine Iyy about the centroidal y-axis…

Q: QUESTION 1 A beam of T cross section (flange 200mm x 12mm and web 320mm x 12mm) is loaded as shown.…

Q: use the method of sections. - Members AF, BG, and FG. Draw Free-BODY diagram

A: Use the method of sections.Find - forces in members of AF, BG, and FG.

Q: The shear stress and the polar moment of inertia are inversely proportional.

A: For solution refer below images.

Q: Chapter 8, Reserve Problem 045 (GO Tutorial) A beam having a tee-shaped cross section is subjected…

A: Let us consider the two rectangles 1 and 2 on the cross sectiona of the T section as shown in the…

Q: The beam is subjected to a moment of 15 kip # ft. Determine the percentage of this moment that is…

A: y=∑yA∑A=0.515+581+9.53115+81+31=4.437…

Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

5. The rigid beam rests on two short posts AC and BD as shown. Post AC is made from steel with E =
200 GPa and BD from aluminum with E = 70 GPa. The diameters of posts AC and BD are 25 mm and 40
mm, respectively. Determine the vertical displacement of point F on AB.
100 kN
200 mm
400 mm-
B
F
300 mm
C
D

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

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

The rigid beam shown in is held by two vertical rods at A and C.If a 60 KN load is applied at B what is the displacement of this point (B) . Aluminum L- 3m A- 500 mm E- 70 GPa Steel L- 4 m A= 300 mm E- 200 GPa 3.5 m 2.5 m
Question 3 a. b. Calculate the second moment area of the section shown about an axis Y - Y through the centroid. 100 2.23. 120 mm 20 mm 20mm X ➜ [20mm Calculate the radius of curvature of the neutral axis when a bending moment of 25 KNm is acting on the section. E= 206 GPa
The cross section of a bearing block is shown in the figure by the shaded area. Calculate the moment of inertia of the section about its base a-a. Assume b = 30 in., h = 6 in., r = 4 in, R = 8 in. Answer: la-a= i b R in.4 h a
Problem 3: Draw the free body, shear, and moment diagrams for the axle of a freight car subjected of a wheel loading of 20 kip. It is supported by two journal bearings at C and D. The diameter is 5.5 in. Determine the maximum bending stress developed in the axle. 10 in. 20 kip 60 in. B D 10 in. 20 kip
If the beam is subjected to an internal moment of 1200 kN.m as shown in the figure, solve to determine (a) the location of the centroid; where y and z axes are principal axes of the cross-section. (b) the principal moment of inertia about y and z axes. (c) the orientation of the neutral axes. (d) the value of flexural stresses at the four corner points. Also mention the points of maximum compressive and tensile stresses.
STRENGTH OF MATERIALS
Problem 4: Determine the minimum height h of the beam shown in Fig. if the flexural stress exceed 20 MPa. 5 KN I= bh² 2 m mg. 2.5 kN/m ↑ Rislo 80 mm 1m ↓ 3m R₂
The figure shows an angle beam composed of two bars with thickness 69 mm. Locate the centroid (Y-bar, in mm.), d = 21 mm. from the topmost. Given: A = 447 mm. B = 402 mm. Id A * * B
. A horizontal beam with a rectangular cross section (2 inch x 6 inch) is loaded as shown with P1= 5 kipsand P2 = 10 kips. Determine the maximum normal stress in the beam
A beam is subjected to equal 21.7 kip-ft bending moments. Assume t₁ =t₂ = tw- 3 in., d = 15 in., b₁ = 6 in., and b₂ =8 in. The cross- sectional dimensions of the beam are illustrated. Determine: (a) the distance y to the centroid (measured from the bottom), the moment of inertial₂ about the z axis, and the controlling section modulus S₂ about the z axis. (b) the bending stress at point H (positive if tension, negative if compression). (c) the bending stress ok at point K(positive if tension, negative if compression). (d) the maximum bending stress max produced in the cross section (positive if tension, negative if compression). M Answers: (a) y = (b) 6μ = 6.978 (c) OK (c) omax = = i M in., I₂ = X i psi. psi. psi. 41 1₂ 2886.59 b₁ b₂ Cross section H K in.4, S₂ = i in.³.
A simply supported wood beam with a span of L = 11 ft supports a uniformly distributed load of w = 840 lb/ft. The allowable bending stress of the wood is 1400 psi. If the aspect ratio of the solid rectangular wood beam is specified as h/b = 1.5, determine the minimum width b that can be used for the beam. O 5.54 in. O 7.03 in. O 6.62 in. O 8.58 in. O 4.15 in. L h
Q4: 125 mm 25 mm 25 mm 12 kN 8 kN/m 75 mm B 75 mm 4 m 2 m a) If d = 420mm, determine the absolute maximum bending stress in the beam.