-3 m- 4 m 20 kN

Q: Il-75. The boat has a weight of 11.5 kN and a center of gravity at G. If it rests on the trailer at…

A: Given data are,

Q: The wooden section of the beam is reinforced with two steel plates as shown. If the beam is…

A: Given data as per question Ew = 10 GPa  Est = 200 GPa. Free body diagram of the composite section

Q: The pin is used to connect the three links together. Due to wear, the load is distributed over the…

A: Draw the diagram. Write the expression of weight distribution on the system. Similarly, find the…

Q: I1-50. Determine the maximum tensile and compressive bending stress in the beam if it is subjected…

A: Given data: Moment , M = 6 kNm   Considering cross sectional view of the given figure.

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 bar has a thickness of 1 in. and the allowable bending stress is sallow= 30 ksi. Determine the…

A:

Q: The Douglas Fir beam is reinforced with A-992 steel straps at its sides. Determine the maximum…

A: The given problems is of composite beams with two different materials. One method to solve such…

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

A:

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: Determine the internal shear in kip at the distance 14 ft. from point A (it is the point between…

A:

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

A: Free body diagram of the beam is given as, On using equilibrium of forces in a horizontal…

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

A: Given data: Diameter of the shaft , d = 1.5 in.   Let, Y = distance between neutral fibre and…

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

A:

Q: F6-14. Determine the bending stress devekoped at corners A and B.What is the orientation of the…

A:

Q: Determine the total axial and bending strain energy in the A992 structural steel W8 * 58 beam.

A: Given, The load on the beam and the free body diagram is shown below.

Q: The composite beam is made of steel (A) bonded to brass (B) and has the cross section shown. If it…

A: Given data: Moment applied, M= 6.5 KN.m Young's modulus of brass, Ebr = 100 GPa Young's modulus of…

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: Q3/ The member has a brass core bonded to a steel casing. If a couple moment of 9 kN.m is applied at…

A: Given:M=9 KN.mEbr=100 GPaEst=200 GPaB=140 mmH=140 mmb=100 mmh=100 mm

Q: An A-36 steel strap having a thickness of 10 mm and a width of 20 mm is bent into a circular arc of…

A: Given, T = 10 mm width = 20 mm  radius of curvature (r)= 10 m The Young's modulus of A36 steel is…

Q: Determine the slope of the beam at the pin support A. Consider only bending strain energy. EI is…

A: Assuming the reaction force on A and B is RA and RB then applying force balance on beam, RA+RB=0…

Q: I1-73. The axle of the freight car is subjected to wheel koadings of 100 kN. If it is supported by…

A: Here maximum bending stress can be given as MI=σmaxrσmax=MI×rNow her we will find M=?I=?d=?Let…

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 smallest allowable diameter of the shaft. The shaft is supported by a thrust bearing…

A: Given data Allowable bending stress, σ = 22 ksi. Draw the free-body diagram of the shaft. Apply…

Q: Q5/ If the beam has a square cross section of 9 in. on each side, determine the absolute maximum…

A:

Q: I1-54. If the beam is subjected to an internal moment of M - 30KN - m, determine the maximum bending…

A: Calculate the moment of inertia of the given section: I=I1+I2+I3 Calculate the moment of inertia of…

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

A: The free body diagram of the horizontal beam is as follows: Calculate the moment at the y-y…

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

A: The bearings at A and C will be replaced by two vertical reactions because there is vertical load…

Q: Determine the total axial and bending strain energy in the A992 steel beam. A = 2850 mm2, I =…

A: Calculate the total vertical load due to the applied uniformly variable load i.e. the UVL. V=12wmaxL…

Q: The beam has the rectangular cross section shown. If w = 1 kN>m, determine the maximum bending…

A: Draw the F.B.D of the beam. For the equilibrium of the beam. For the equilibrium of the beam in…

Q: F6-20. Determine the bending stress developed at corners A and B.What is the orientation of the…

A:

Q: Determine the slope of the beam at the pin support A. Consider only bending strain energy. EI is…

A: For solving these types of questions use conjugate beam method, as it is very easy to solve these…

Q: *11-76. Determine the absolute maximum bending stress in the tubular shaft if de - 160mm and d. -…

A: →Given data,The inner diameter of the tubular shaft is, di=160 mm=0.16 m.The outer diameter of the…

Q: Determine the absolute maximum bending stress in the 2-in.-diameter shaft. There is a journal…

A: Given data: Diameter of shaft = 2 in  To determine: Absolute maximum bending stress Before…

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: Determine the bending strain energy in the A992 steel beam. I = 156 in4.

A: The value of modulus of elasticity of the material is U=29×103 ksi. The moment of inertia of the…

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: I1-62. 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: The 65-mm-diameter steel shaft is subjected to the two loads. If the journal bearings at A and B do…

A: Drawing the free body diagram of the beam, RA+RB=4 cos30°+4 cos30°RA+RB=6.928  .....(1)Taking…

Q: 12-15. Determine the shear stress at points C and D located on the web af the beam. so kNim -L8 m-…

A: Given: A simple supported beam I cross section To find the shear stress at point C and D

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: For the beam and loading shown, determine the maximum nor- mal stress due to bending on a transverse…

A: Using the entire beam as a free body  ∑MB=0-4.8A+(3.6)(216)+(1.6)(150)+(0.8)(150)=0A=237 KN

Q: *11-84. Determine, to the nearest millimeter, the smallest allowable diameter of the shaft which is…

A: givenallowable bending stress σallow=150MPa

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.