steel beam is simply supported at both ends and laterally loaded to bend it plastically, as shown in Figure Q3a(i). The cross section is hollow, and the beam dimensions are illustrated in Figure Qa (ii). Find the value of load P, Shape Factor, and Length of Plastic Lp when the critical section is in fully plastic condition if the steel acts elastic-perfectly plastic with a Yield Stress of 200 MPa.

Q: The AB rigid beam in the figure rests on AC and BD supports. The length of the AC support is LAC =…

A: Part 1) The equivalent load for a uniformly varying load w kNm acting over a beam span of L m is…

Q: A simply supported beam of a total length lis shown in Figure Q5, where point A supported by a pin…

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Q: Q.6. A circular bar AB with ends fixed against rotation has a hole extending for half of its length…

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Q: Considering the symmetry on a bridge (Figure-a), the model is shown in Figure-b. A downward point…

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Q: Q 2 : The cantilever beam in Figure carries a triangular load. The intensity of which varies at the…

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Q: |(a) Square Beam AB having the circular hollow cross-section as shown in Figure Q1a and it is loaded…

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Q: 31. A beam is simply supported and carries the load shown in Figure P3–31. Specify suitable…

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Q: (a) A steel cantilever beam with a 1-in-diameter round cross section and length of 10 in is loaded…

A: Stresses are developed in machine elements due to applied load. Machine design involves ensuring…

Q: (a) Figure Q6(a) shows an example of pressure vessel with radius of r, and yield stress Oy. Suppose…

A: For solution refer below images.

Q: P4.9 In Figure P4.9, rigid beam AB is subjected to a distributed load that increases linearly from…

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Q: a) Determine the 2nd moment of area of this cross-section in Figure Q4(b)?

A: To find second moment of inertia of the cross section = ?

Q: A cantilever beam supports a 30kN point-load at position B and 25kN at position C. The beam is 10…

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Q: (a) A steel cantilever beam with a 1-in-diameter round cross section and length of 10 in is loaded…

A: A machine member is subjected to various forces. Depending on these forces and points of loading the…

Q: ircular tube of aluminum is subjected to torsion by torques T applied at the ends (see figure). The…

A: Given:L=27 indi=1.2 indo=1.6 inθ=3.157°T=51,662 in

Q: A cantilever beam, a UPN 300 section, is subjected to its own weight and a point load at B. Find the…

A: Given data, Allowable stress, σallow =125MPa To find:- Load, P=? The section of the beam is UPN 300…

Q: The simply supported beam AB as shown in Figure Q3(a) has a uniform load of intensity, w - 15 kN/m…

A: Given we have w=15 KN/mINA=3.6 X 106 mm4RA=RB (symmetric loading)⇒RA+RB=15(0.6+1.8)⇒ZRA=1.5 X…

Q: MACHINE DESIGN 1 ELEMENT 2" dia 20 150 PROBLEM: The shaft in the figure is rigidly attached to the…

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Q: 7. Calculate the displacement at the free end of the inclined beam shown in Figure P3.7.Repeat the…

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Q: The notched beam in Fig Q3 is subject to a transverse load of 9.05KN and a couple of 1200Nm applied…

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Q: A thin beam with a solid rectangular cross-section is loaded as shown in Figure Q7 below. W W L/3…

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Q: Consider the beam shown in sketch below, hinge supported at point A and roller supported at point D.…

A: Considering the cross-section of the beam The web is denoted as 1 and flange is denoted as 2

Q: 2.51. A bar of thickness 1 in. has a symmetric step change in width from 2 in. to 1.5 in. through a…

A: Given that  Thickness of the bar = 1in Change in width= 2in to 1.5in  Bending moment = 4000lb Fillet…

Q: A solid structure of rectangular cross-section is simply supported, as shown in Figure Q2. The…

A: Given: The elastic modulus, E = 200 GPa The dimension of cross-section of beam, x = 100 mm = 0.1 m

Q: A simply supported composite beam 2 m long carries a uniformly distributed load of intensity q = 2.3…

A: (a) To Find :  The maximum bending σw and σs. Given :  The uniformly distributed load intensity is :…

Q: A circular bar AB with ends fixed against rotation has a hole extending for half of its length (see…

A: Given:-d1=2.5ind2=3inL=50inTo find:-Distance x

Q: f a total length ll is shown in Figure Q5, where point A is supported by a pin connection and point…

A: GIVEN:l1l=0.65P=mg

Q: A thin-walled cylindrical pressure vessel of a radius r is subjected simultaneously to internal gas…

A: Given                   Force, F = 190 kN Internal pressure p = 12 MPa    Inner diameter, d = 200 mm…

Q: A simply supported beam of a total length l is shown in Figure Q5, where point A is supported by a…

A: Calculated the shear force and bending moment distributions produced in the simply support beam by…

Q: A steel beam ABC carries a uniformly distributed load of w (kN/m) over the unsupported length BC, as…

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Q: (b) A stepped shaft ACB shown in Figure Q6(b) having solid circular cross sections with two…

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Q: A Simply Supported beam of 4 m span is in the form of hollow square bar (120x120 mm) as shown in…

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Q: A thin-walled cylindrical pressure vessel of radius r is subjected simultaneously to internal gas…

A: Answer: (a) The magnitude of the force F is 1131 kN. (b) The required thickness of the vessel is…

Q: 3. For a single element beam as shown in figure below, its equivalent nodal load matrix should be W

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Q: The composite beam in the figure is made of timber with an elasticity modulus of 10 GPa and steel…

A: Composite beam of timber ans steel.

Q: In shaft assembly shown in Figure 1, 1 = 200 mm, a = 160 mm, b = 180 mm, the force P = 1000 N/cm.…

A: Given: l=200 mma=160 mmb=180 mmP=1000 N/cm The free-body diagram of the beam is given as, The area…

Q: Q) A simply supported beam shown is loaded as shown in figurel-1. It has the cross section as shown…

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Q: A steel beam ABC carries a concentrated load of P (kN) at B and C, as shown in Figure Q3(a). The…

A: Drawing the free body diagram as shown below, ∑Fy=0VA+VB=2P∑MA=0 P×10+P×15=VB×10VB=2.5P, VA=-0.5P…

Q: A thin-walled cylindrical pressure vessel of radius r is subjected simultaneously to internal gas…

A: Given data F=190 kNP=12 MPad=200 mm Here, F is the force, P is the pressure and d is the inner…

Q: 7. A hollow circular tube of metal is subjected to twisting by torques T applied at the ends (see…

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Q: The Cantilever beam in Fig. 5, has a circular cross section (diameter 100 mm) (a)find the shear…

A: Given data, d = Diameter of the circular cross-section = 100 mm w = Intensity of the uniform load =…

Q: The beam shown in Figure Q3 (b) and (c) is made of steel with Young's Modulus of 200GPa and Yield…

A: Bending stress is the typical stress that an object experiences when it is subjected to a heavy load…

Q: How high should the height h of the beam cross-section be at least so that the stresses that will…

A: find reaction ant A and B. then draw S.F.D. and B.M.D. and find out maximum bending moment and…

Q: 3. For a single element beam as shown in figure below, its equivalent nodal load matrix should be W…

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Q: (a) Square Beam AB having the circular hollow cross-section as shown in Figure Qla and it is loaded…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A simply supported beam of a total length ?l is shown in Figure Q5, where point A is supported by a…

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Q: A torsional moment T = 5,382 Nm and a load P = 55,253 N are applied at the same time to a circular…

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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.