50 mm 150 mm -2 m 2 m -2 m Probs. 6–102/103

Q: Determine the vertical displacement of end B of the frame. Consider only bending strain energy. The…

A: Write the given data: Write the properties of the steel A-36

Q: The steel shaft is subjected to the two loads. If the journal bearings at A and B do not exert an…

A: Given data as per question Allowable bending stress = 180 MPa. Free body diagram of the system

Q: Beam cross section is shown below. If a resultant shear force, V acting at the beam cross section is…

A:

Q: The eye hook has the dimensions shown. If it supports a cable loading of 800 lb, determine the…

A: Draw the free-body diagram of the hook.

Q: Determine the resultant internal normal force, shear force, and bending moment at point C in the…

A: The free body diagram of the beam is shown below: From the diagram the sum of vertical forces are…

Q: Determine the minimum depth h of the beam to the nearest multiples of 5 mm that will safely support…

A:

Q: e tapered beam supports a uniform distributed load w. If it is made from a plate and has a constant…

A: we have to determine the maximum stress

Q: F7-3. Determine the internal normal force, shear force, and bending moment at point C in the beam.…

A: Draw the FBD of the given problem. Apply equilibrium condition. Determine the moment about point B.

Q: 11-71. If the reaction of the ballast on the railway tie can be assumed uniformly distributed over…

A:

Q: If d = 450 mm, determine the absolute maximum bending stress in the overhanging beam.

A: Given data Uniformly distributed load = 8KN/m Depth of the beam d = 450mm Point load at the over…

Q: 11-53. An A36 stel strip has an allowable bending stress of 165 MP. If it is rolled up, determine…

A: Write down the given data. Here b= width of the steel sheet, t = thickness of the steel. Now write…

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: The shaft is supported by a thrust bearing at A and journal bearing at D. If the shaft has the cross…

A: Given data: Inner radius, r = 25 mm Outer radius, R = 40 mm Therefore, Inner diameter, d = 50 mm…

Q: 7–25. Determine the maximum shear stress in the T-beam at section C. Show the result on a volume…

A:

Q: I1-63. The shaft is supported by smooth journal bearings at A and B that only exert vertical…

A:

Q: F7-1. Determine the internal normal force, shear force, and bending moment at point C in the beam.…

A: Determine reactions at A and B

Q: The overhang beam is subjected to the uniform distributed load having an intensity of w = 50…

A: The maximum shear force acting in the span AB is 150 KN

Q: F7-2. Determine the internal normal force, shear force, and bending moment at point Cin the beam.…

A: Shear force at any section is the summation of all shear forces acting on either side of that…

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: F6-18. If the beam is subjected to a bending moment of M = 10 kN m, determine the maximum bending…

A:

Q: F6-16. If the beam is subjected to a bending moment of M = 50 kN m, sketch the bending stress…

A: The bending stress distribution over the beam cross section.

Q: F6-17. If the beam is subjected to a bending moment of M = 50 kN m, determine the maximum bending…

A: Find the maximum bending stress.

Q: The shaft is supported by smooth journal bearings at A and B that only exert vertical reactions on…

A: Given data: Diameter of the shaft, d = 90 mm Let, RA = Vertical reaction at A RB = Vertical reaction…

Q: Determine the resultant internal normal force, shear force, and bending moment at point C in the…

A: Free-body diagram of the beam is given as,   On using equilibrium of force in a vertical direction,…

Q: I1-65. The shaft is supported by a thrust bearing at A and journal bearing at D. If the shaft has…

A: Given data To determine the absolute maximum bending stress in the shaft for the given loading

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

A: According to the question length of the beam is in such a manner that maximum bending strength in…

Q: HW. Determine the maximum bending stress location along the beam. at ang 200 m 700 N/m Iso 500 N.m…

A:

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

A: Given, Lenth of cantilever beam = L The radius of beam cross-section at the fixed end of the beam=…

Q: The beam is made from three boards nailed together as shown. If the moment acting on the cross…

A: To find-: (a) The maximum bending stress in the beam. (b) Sketch a three-dimensional view of the…

Q: The tapered beam supports the concentrated force P at its center. Determine the absolute maximum…

A: The free-body diagram of the tapered beam is,

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

A: Given data:  Bending stress in the beam, σb,max=10 MPa Determine the largest uniform intensity, w

Q: Determine the maximum bending stress in the handle of the cable cutter at section a–a. A force of 45…

A: To find out the Moment about a-a axis ∑.M=0M-45(5+4cos25°)=0M=394.14 lb-in

Q: The bar has a thickness of 0.5 in. and is subjected to a moment of 600 lb # ft. Determine the…

A: Given: r=0.3 inh=2 inw=6 int=0.5 inM=600 lb.ft

Q: The Douglas Fir beam is reinforced with A-36 steel straps at its sides. Determine the maximum stress…

A: The modulus of elasticity of A-36 steel and wood are taken as,   Es=200×109 PaEw=13.1×109 Pa   The…

Q: The timber beam has a width of 6 in. Determine its height h so that it simultaneously reaches its…

A: given: b=6 in σall=1.50 ksiτall=50 psi To determine: h at maximum stress the maximum load P

Q: I1-47. The beam is made from three boards nailed together as shown. If the moment acting on the…

A: The moment acting on the cross section of the beam is M=650 N·m.

Q: 6-54. The beam is made from three boards nailed together as shown. If the moment acting on the cross…

A: The centroid is the center of the unshaped body which made from a shaped body. It is the point at…

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: 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: Determine the maximum tensile and compressive bending stress in the beam if it is subjected to a…

A: To find out the centroid…

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…

A:

Q: 7-8. Determine the internal shear force and moment acting at point Cin the beam. 900 lb - ft 500…

A: 500lb/ft uniformly distributed load can be converted in to single load as , 500×12 =6000lbs finding…

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

A:

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

A: Given Data: The load acting on the beam is 12 kN and 20 kN. The free-body diagram of the beam  can…

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

A: given beam has square cross section of side a=9incantilever beam as shown below

Q: F6-15. If the beam is subjected to a bending moment of M = 20 kN m, determine the maximum bending…

A: Find the maximum bending stress.

Q: 6-54. The beam is made from three boards nailed together as shown. If the moment acting on the cross…

A: The centroid distance of the entire beam is, Moment of inertia of the complete beam is, The…

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.