The bar is subjected to a moment of M = 60 Nm. Determine the smallest radius r of the fillets so that an allowable bending stress of σallow = 240 MPa is not exceeded.

Q: If the beam is subjected to a bending moment of M = 20 kN # m, determine the maximum bending stress…

A: Given data: *The bending moment on the beam is M=20×103 N. The figure below represents the I section…

Q: The aluminum machine part is subjected to a moment of M = 75 N.m. (i) Determine the bending stress…

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Q: Determine the moment M that will produce a maximum stress of 70 MPa on the cross-section. 12 mm -75…

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Q: If the beam is made of material having an allowable tensile and compressive stress of (sallow)t =…

A: Given data as per the question  Allowable tensile stress =125 MPa   Allowable compressive stress…

Q: If the maximum bending stress at section a–a is not allowed to exceed sallow= 150 MPa, determine the…

A: Given: The maximum bending stress allowed in beam at section a-a, σ = 150 MPa The thickness of the…

Q: The steel shaft has a diameter of 2 in. It is supported on smooth journal bearings A and B, which…

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Q: If the beam is subjected to a bending moment M = 50 kN-m, determine a.) the maximum bending stress…

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Q: The box beam is subjected to a moment of M = 15 kip # ft. Determine the maximum bending stress in…

A: Understand the below figure for the cross section of the beam. Apply the Right hand thumb rule for…

Q: The beam is subjected to a moment M=18.1 kN-m. Determine the bending stress at point D given a=70 mm…

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Q: Determine the absolute maximum bending stress in the 80-mm-diameter shaft which is subjected to the…

A: the reaction forces are shown in the figure given below. balancing forces in vertical direction  Ay…

Q: Determine the absolute maximum bending stress in the beam, assuming that the support at B exerts a…

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Q: Determine the absolute maximum bending stress in the 1.5-in.-diameter shaft. The shaft is supported…

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Q: An L2 steel strap having a thickness of 0.125 in. and a width of 2 in. is bent into a circular arc…

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Q: If the beam is subjected to a bending moment of M = 50 kN # m, sketch the bending stress…

A: According to the given diagram, the cross-section is triangular and the centroid of a triangle is…

Q: If the beam has a square cross section of 9 in. on each side, determine the absolute maximum bending…

A: Determine the maximum moment about A point Mmax=1200(16 ft)+800(8 ft)4ft=19200+25600=44800…

Q: The curved member is subjected to the moment of M = 50 kN # m. Determine the percentage error…

A: Draw the diagram of the curved beam with the proper specification. Here, ri is the radius of the…

Q: If the beam is subjected to a bending moment of M = 50 kN # m, determine the maximum bending stress…

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Q: The composite beam consists of a wood core and two plates of steel. If the allowable bending stress…

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Q: The member has a circular cross section. If the allowable bending stress is sallow = 100 MPa,…

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Q: Determine the length of the cantilevered beam so that the maximum bending stress in the beam is…

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Q: The axle of the freight car is subjected to a wheel loading of 20 kip. If it is supported by two…

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Q: The shaft is supported by a smooth thrust bearing at A and smooth journal bearing at C. If d = 3…

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Q: If the allowable tensile and compressive stress for the beam are (sallow)t = 2 ksi and (sallow)c = 3…

A: The data given is, Tensile stress, σallowt=2 ksi Compressive stress, σallowc=3 ksi Maximum moment =…

Q: If the beam is subjected to a moment of M = 100 kN # m, determine the bending stress at points A, B,…

A: Given: The bending moment, M = 100 kN.m   The Centroid of the cross-section,

Q: 13. If the beam is subjected to a bending moment of M = 50 kN. m, determine the maximum bendir…

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Q: The cantilevered beam has a circular cross section. If it supports a force P at its end, determine…

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Q: For the given cross-section, if the width b = 6.6 in., the height h = 8.4 in., and the internal…

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Q: If the beam is subjected to an internal moment of a 100 kN.m, determine the bending stress developed…

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Q: I1-62. The shaft is supported by smooth journal bearings at A and B that only exert vertical…

A: Given: Dimeter of the shaft is 90 mm. Uniform distributed load is 12 kN/m.

Q: If the beam is subjected to a moment of M = 45 kN # m, determine the maximum bending stress in the…

A: Given Data: The radius of the circular part is R = 50 mm. The bending moment is M = 45 kN-m. The…

Q: RII-I. The chair is supported by an arm that is hinged so it rotates about the vertical axis at A.…

A: Given data: Load on the chair, P =900 N Dimensions are given in the figure Determine Maximum…

Q: Determine the bending stress at corners A and B. What is the orientation of the neutral axis?

A: Moment about Y axis,MY=55(45)  KN-m⇒MY=44 KN-mMoment about Z axis,MZ=55(35)  KN-m⇒MY=33 KN-mMoment…

Q: I1-93. If the allowable bending stress is auon =6 MPa, determine the minimum dimension d of the…

A: The free body diagram of system is given below,   The expression that can be obtained by taking the…

Q: I1-94. The beam has a rectangular cross section as shown. Determine the largest intensity w of the…

A: Given: σmax=10 MPa TO determine: The largest intensity  w of the UDL

Q: The aluminum strut has a cross-sectional area in the form of a cross. It is subjected to the Moment…

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Q: Determine the variation of the radius r of the cantilevered beam that supports the uniform…

A: MOI, I=π4r4 Moment =wx2/2 To calculate the bending stress Apply flexural formulae…

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Q: F6-13. If the beam is subjected to a bending moment of M = 5 kN m, determine the bending stress…

A: The bending stress developed at point A is 1.98 MPa.

Q: maximum tensile and compressive bending stress in the beam if it is subjected to a moment M = 6…

A: Detailed solution given below.

Q: QI/ If the beam is subjected to an internal moment of M = 40 kN . m, determine the resultant force…

A: Write the given data with suitable variables. M=40 kNm

Q: The strut has a square cross section a by a and is subjected to the bending moment M applied at an…

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Q: If the beam in Prob. 6–28 has a rectangular cross section with a width b and a height h, determine…

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Q: Determine the smallest allowable diameter of the shaft which is subjected to the concentrated…

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Q: If the allowable bending stress is sallow = 150 MPa, determine the maximum intensity w of the…

A: given:allowable bending stress σal=150MPa

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.