*7–12. Use the moment-area theorems and determine the slope at A and displacement at C. El is constant. 7–13. Solve Prob. 7–12 using the conjugate-beam method. Probs. 7–12/13 6 kN 1.5 m- В -3 m- 3 m

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: 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: 7-87. Draw the shear and moment diagrams for the beam. 4 kN/m 2 kN/m 3 m 1.5 m Prob. 7-87

A:

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

A:

Q: 6.43-6.56 Construct the shear force and bending moment diagrams for the beam shown by the area…

A: According to the details provided in the question, we need to calculate we need to calculate SFD…

Q: The shaft is supported by a journal bearing at A, which exerts only vertical reactions on the shaft,…

A: Given Applied load = 80 lb To find Bending moment diagram Deflection curve with respect to the shaft…

Q: *11-16. A reinforced concrete pier is used to support the stringers for a bridge deck. Draw the…

A: Given , Free body diagram of the beam ( bading diagram) Taking moment about point 'A'Rb x…

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

A:

Q: *11-40. The beam is used to support a uniform kad along CD due to the 6-kN weight of the crate. Aba,…

A: Given data: *The uniform load along the length CD is 6 kN weight of the crate. *The reaction at…

Q: For the cantilevered beam shown, what are the boundary conditions at x L? P L A -EIv" (L) =-P, Elv"…

A:

Q: 7-10. Determine the slope at B and the maximum displacement of the beam. Use the moment-area…

A: Draw the free body diagram for the given beam . Apply the condition of equilibrium ,ΣFv=0     ,…

Q: 11-23. Draw the shear and moment diagrams for the beam. 18 kN/m| 12 kN/m -3 m-

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

Q: The beam is used to support a dead load of 0.6 k/ft, a live load of 2 k/ft and a concentrated live…

A: Given data are, Live load= 2 k/ft Dead load= 0.6 k/ft Generated live load= 8 k Now, draw the FBD of…

Q: •12-45. The beam is subjected to the load shown. Determine the displacement at x = 7 m and the slope…

A:

Q: Determine the absolute maximum bending stress in the beam. Each segment has a rectangular cross…

A: At B there is a hinged joint. So here section 1 is AB and section 2 is BC.

Q: 5 kN 60 mm B -150 mm 400 mm

A: A beam is defined as a structural member subjected to transverse shear load during its…

Q: 7-7. Determine the resultant internal loadings in the beam at cross sections through points D and E.…

A: Answer : In the given figure we can observe that end A is having roller support while end C is…

Q: F16-6. Determine the slope of the simply supported beam at A. E = 200 GPa and I= 39.9(10 m. 20 kN 10…

A: Given data: The moment of inertia, I = 39.9×10-6 m4. The modulus of elasticity, E = 200 GPa Due to…

Q: 11-38. The compound beam is fixed at A, pin connected at B, and supported by a roller at C. Draw the…

A: Draw the free body diagram: Find the reactions: Since the beam is pin jointed at the point B…

Q: The overhang beam is made of 2014-T6 aluminum. If the 75-kg block has a speed of = 3 m>s at h =…

A: Modulus of elasticity (E) for 2014-T6 aluminium = 72.4 GPa h = 0.75 m v = 3 m/s m = 75 kg L = AB = 4…

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: 11-101. The steel shaft is subjected to the two loads. If the journal bearings at A and B do not…

A: The free-body diagram of the beam will be as follows,

Q: *11-8. Draw the shear and moment diagrams for the beam. Hint The 100-kN load must be replaced by…

A: →The free body diagram of the beam M=100*0.25=25kNmNow taking moment about point 'B'…

Q: Use the moment-area theorems and determine the slope at A and displacement at C. EI is constant.

A: Given data: Simply supported beam with the above-mentioned loading condition   To determine: θA and…

Q: I1-14. Draw the shear and moment diagrams for the beam. 30 kN/m 45 kN-m -1.5m- -15 m- -15 m- Prob.…

A: Draw the free body diagram of the beam: Calculate the reactions: Consider moment equilibrium about…

Q: Analyze the propped beam loaded as shown below: use either double integration or area moment method.…

A:

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: 7-10. The beam supports the distributed load shown. Determine the resultant internal loadings acting…

A: Given Data: The triangular load varies from w1 = 4 kN/m to w2 =0. The span of the beam is L = 6 m.…

Q: The 80-lb weight is dropped from rest at a height h = 4 ft onto the end of the A-36 steel W6 * 12…

A: To find-: The maximum bending stress developed in the beam. Given-: The weight of the body is W=80…

Q: 7-63. Draw the shcar and moment diagrams for the beam. 4 kip /n 12 f- 12 ft- Prob. 7-63

A: A pin support will exert both horizontal and vertical components of reaction. A roller support will…

Q: 11-25. Draw the shear and moment diagrams for the simply supported beam. 45 kN /m -2 m-

A: Given Data: The triangular load varies from w1= 0 to w2= 45 kN/m over a span of l = 4 m. The…

Q: Determine the slope and displacement at point C. EI is constant. Use the method of virtual work.

A: If a particle is in equilibrium under the action of a number of forces, the total work done by the…

Q: 5 kN 3000 N m -1 m- -1m- 1m-

A:

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: *11-48. The beam is made from three boards nailed together as shown. If the moment acting on the…

A: M = 600 N m

Q: 7-76. Draw the shear and moment diagrams for the beam 15 kN 10 kN/m 20 kN · m А -2 m -1 m 1 m 2 m

A:

Q: 11-66. Determine the absolute muximum bending stress in the 40-mm-diameter shaft which is subjected…

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

Q: *7-48. Draw the shear and moment diagrams for the cantilevered beam. 100 lb 800 lb ft A C В 5 ft 5…

A:

Q: 11-35. A short link at Bis used to conect beams AB and BC to form the compound beam. Draw the shear…

A: Draw the F.B.D of the given beam.

Q: Bar ABC has a rectangular cross section of 300 mm by 100 mm. Attached rod DB has a diameter of 20…

A: Given Cross-section height = 300 mm Cross-section width = 100 mm Diameter = 20 mm To find Slope in A…

Q: *11-20. The smooth pin is supported by two leaves A and B and subjected to a compressive load of 0.4…

A: Draw the diagram of a loaded smooth pin,     Apply force equilibrium in a vertical direction and…

Q: F7-5. Determine the internal normal force, shear force, and bending moment at point C in the beam. 5…

A:

Q: 11-31. Draw the shear and moment diagrams for the overhang beam. 18 KN 6 KN M- 10 KN m

A: Let the reaction forces at A and B are RA,HA&RB  respectively.

Q: Determine the absolute maximum bending stress in tension and also in compression in the beam, and…

A:

Q: Determine the deflection at the end B of the clamped A-36 steel strip. The spring has a stiffness of…

A: Stiffness = 2 N/mm Load = 50 N width = 5 mm height = 10 mm

Q: *7-48. Draw the shear and moment diagrans for the beam. 1.5 KN/m 2 m 3 in sp Prob. 7-48

A:

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.