A steel bar with a thickness 5 mm is to carry a load of 2000 N. Using the direct method, determine the deflection at each node and the average stress in each part. Divide the bar into three parts. (E=200 GPa)

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Q: BP4: A simply supported beam of constant El and length L is supporting a distributed load omega w…

A: The given beam is as shown below,   To determine deflection at C by Castilagino's method we will…

Q: A simply supported beam having constant EI throughout its geometry is loaded with 3P and P at point…

A: When a beam is subjected to a load, it will face reaction forces at the support and it tends to…

Q: The rigid beam is supported by a pin at C and an A992 steel guy wire AB of length 6 ft. If the wire…

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Q: An axial member consisting of two polymer bars is supported at C as shown. Bar (1) has a…

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Q: Question 4: Use the moment-area method to determine the slope and deflection at point B for the…

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Q: The maximum deflection & in a simply supported beam of length L carrying a concentrated load P at…

A: Since the load is acting at the midpoint which is symmetric from both ends, We can directly write…

Q: A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.75 in. and a wall thickness…

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Q: 13.13 A horizontal steel girder of uniform section, 15 m long, is supported at its extremities and…

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Q: Check Deflection condition for the following loading condition of the Steel beam in accordance with…

A: Given data: The uniform distributed imposed load is wi = 5 kN/m. The length of the beam is L = 10…

Q: Q 04: A jib crane consists of a rigid beam BC supported by an elastic rod AB and hinged at C.…

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Q: From the given figure shown, determine the deflection at the mid-span [in terms of /EI). Assume…

A: For solution refer below images.

Q: A wooden beam 5 m long, simply supported at its ends and it is carrying a point load of 8 kN at its…

A: Given data: Length of the beam, L=5 m. Beam is simply supported at it's ends with a concentrated…

Q: A long, slender structural aluminum [E = 69 GPa] flanged shape is used as al = 9.2-m-long column.…

A: GIVEN :- E=69GPaL=9.2 mbf=102mmd=122 mmtf=8mmtw=6mmH=(d+2tf)=(122+2x8)=138mmb=(bf-tw2)=(102-62)=48…

Q: - A rectangular plate simply supported along its edges and subjected to a uniform of intensity po:…

A: Givenuniform load =Pob=2aw=0.01013

Q: A 3.5-m long column with rectangular cross section of 4 cm x 3 cm is under an axial compressive load…

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Q: Question 4 Members of the truss shown in Figure 4 consists of sections of Aluminium pipe with…

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Q: 1: An aluminum alloy (E = 70 GPa) bar of circular cross section consists of uniform and pered…

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Q: A spring wire with diameter of 6 mm in a circular arc shape was initially set on the horizontal…

A: Given values, Radius of the arc(R)=80mm, angle of arc(θ)=60 deg, Modulus of Elasticity(E)=200GPa,…

Q: The length of the rectangular arm, which is fixed at both ends, is L= 9 m, and the cross section is…

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Q: 3. The rigid bar BDE is supported by two links AB and CD. Link AB is made ol steel (E=200 GPa) and…

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Q: A force tangent to 1.75 feet diameter pulley is 5200 N and is mounted on a 2 inches shaft. Determine…

A: NOTE: The value of modulus of rigidity should be G=83×106 kPa. Given: The tangent force on the…

Q: Determine the vertical deflection at joint B of the truss shown in Fig. P7.17 if members AB and BE…

A: Consider the free body diagram of the virtual truss as follows: External reactions for the…

Q: 2. Link BD is made of brass ( E = 103 GPa ) and has a cross-sectional area of 258 mm?. Link CE is…

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Q: The solid 37 mm diameter steel [E = 200 GPa] shaft supports two belt pulleys. Assume that the…

A: (a) To find: The shaft deflection at pulley A. Given: The diameter of steel shaft is d=37 m. The…

Q: The tube is used as a 16 ft long column. Consider E = 29,000 ksi and allowable stress (oy) = 20 ksi.…

A: Given, Young modulus, E=29000ksiOutside diameter, do=5inInside diameter, di=4inEccentricity,…

Q: A steel column is of length 8m and diameter 600 mm with both ends hinged. Determine the crippling…

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Q: QUESTION 3: the cross-sectional area 20 mm² and made of red brass C83400 copper alloy. If P=200 N,…

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Q: The solid 32 mm diameter steel [E = 200 GPa] shaft supports two belt pulleys. Assume that the…

A: To Find : The shaft deflection at pulley A and C. Given :  The load P and Q are P=850N ,Q=1000N.…

Q: 20 kN 10 kN.m 4 m 2 m

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Q: concept checkpoints The solid aluminum rod 4 has a diameter of 16 mm. The plastic tube outside…

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Q: Determine the vertical and horizontal deflec- tions of the end B due to load P of the thin curved…

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Q: ind the critical buckling load if the length of the 10 cm cectioned bar with both ends is 4 m? E =…

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Q: A beam is supported by the hollow column of length 10 m, external diameter 7.5 cm and thickness 12…

A: Given data as per question Length of column = 10m =10000 mm External diameter = 7.5 cm =75 mm…

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Q: A steel (E = 200 GPa) column of length L = 3.2 m is anchored to a concrete foundation and supports a…

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Q: Determine the largest load P that can be applied to the structure shown below. All members are made…

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Q: 6. The timber beam has a cross-sectional area of 2000 mm? and its modulus of elasticity is 12 GPa.…

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Q: ind the deflection at D relative to point A of the copper bar. Assume the material behaves…

A: Given:E=15*103ksi

Q: 4) If the beam of question 2) is a cantilever of a W18 x 130 steel wide-flange with the support at…

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Q: A hollow steel [E= 30,000 ksi] tube (1) with an outside diameter of 2.75 in. and a wall thickness of…

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Q: Find the length of the part 1 and 2 of the steel bar if the total deflection under the forces shown…

A: Given data, δT = Total deflection = 0.5 cm = 0.005 m E = Modulus of rigidity of the bar = 200 x109…

Q: P Ib w lb/ft w lb/ft B. - 6 ft- - 6 ft- 4 ft-

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Q: A. Explain briefly what you understand by the following terms I) strut II) column B. Distinguish…

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Q: (Situation no. 2) For the beam supporting the loads shown with E= 200000 Mpa and I=1x10^8 mm^4. (4)…

A: Given data, Young's modulus, E = 2×105 MPa = 2×105×106 Pa Moment of inertia, I =  1×108 mm4 =…

Q: The beam shown is made from 6 × 6 × 1/4 inch rectangular steel structural tubing. If load P = 650 lb…

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Q: A concentrated load Q= 94.18N is applied to the rigid cantilever frame as shown in fig. The vertical…

A: Given, Concentrated load, Q=94.18 N EI=3×108 N.m2

Q: QI) The rigid bar is supported by the pin-connected rod CB that has a cross sectional area of 40 mm2…

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Q: What is the magnitude of the maximum deflection (mm to 1 decimal place) of an aluminum diving board…

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Q: A. Using Euler formula, determine if the column fails by elastic or inelastic buckling if a W10x22…

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Q: 2. The rigid bar is supported by the pin-connected rod CB that has a cross-sectional area of 14 mm²…

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Q: A long, slender structural aluminum [E = 69 GPa] flanged shape is used as a L = 9.2-m-long column.…

A: Due to application of force P the pole might get deformed in three different ways. Ether it will…

Q: Qq Determine the deflection at point C for the beam shown in Figure 1. Use E= 1.2 MN.m². 15 kN 12…

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Q: Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area…

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Q: An axial member consisting of two polymer bars is supported at C as shown. Bar (1) has a…

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Q: he steel wire AE has A = 22.5 mm and E = 200 GPa. Aluminum block CD has A %3D = 70 GPa. Under the…

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Q: A hollow circular column of 200 mm external and 160 mm internal diameter is subject to an axial…

A: given data; external diameter(d1)=200mminternal diameter(d2)=160mmcompressive load…

Q: Bronze [E= 100 GPa] links (1) and (2) support rigid beam ABC. Link (1) has a cross-sectional area of…

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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.