12 kN/m A 6 m- 3 m Probs. 9–30/31

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: Determine the slope at A of the shaft. EI is constant.

A: Draw the free-body diagram.

Q: The W8 * 48 cantilevered beam is made of A-36 steel and is subjected to the loading shown. Determine…

A: Given data Cantilever beam of A-36 steel and W8 * 48 cross section. Point load P = 1.2 kip…

Q: Locate the centroid x̄ of the area.

A: Given data:   *The equation of the curve is y=4-1/16 x2. The small vertical element of area is given…

Q: The A992 structural steel beam has a moment of inertia of I = 125(106) mm4. Determine the slope at…

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

A:

Q: Determine the vertical displacement of point C. EI is constant. Use the method of virtual work.…

A: Deflection at point C is determined by virtual work as given

Q: The beam is made of oak, for which Eo = 11 GPa. Determine the slope and displacement at point A.

A:

Q: Determine the slope at B of the beam made from A992 steel and having a moment of inertia of I = 53.8…

A: Let's first draw the free body diagram to show the reactions at supports,

Q: Determine the shape factor for the wide-lange beam.

A: The shape factor is dimensionless and depends upon the shape and is used to enhance the efficiency…

Q: Determine the shear centre of the circular arc section as shown in fig. 9-24. 0 k e 1cm Fig. 9-24…

A: Find, Shear center (e).

Q: Determine the slope and displacement at point A. EI is constant. Use the principle of virtual work.…

A: Now draw the free body diagram for the above problem and apply the dummy moment at point A.

Q: *12-36. The beam is constructed from four boards which are nailed together. If the nails are on both…

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

Q: Determine the vertical displacement of section A. Fp=0.5qL EI В A L |-

A: The calculation for the virtual moment, Calculate the reaction at the fixed point. Calculate the…

Q: Determine the equations of the elastic curve for the shaft using the x, and x2 coordinates. Take El…

A:

Q: M= 50 kN • m, determine the maximum bending stress in Fl1-11. If the beam is subjected to a bending…

A:

Q: The A992 steel beam has a moment of inertia of I = 125(106) mm4. Determine the slope at A.

A: The moment of inertia of the beam is I = 125 x 106 mm4. The moment acting on point A is M' = 18…

Q: 600 N/m The shaft is supported by a smooth thrust bearing at A and a smooth journal bearing at B.…

A:

Q: How can we determine the Slope and Displacement by the moment area method?

A: Slope and displacement by moment area method: It is a highly effective method to determine the slope…

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: The engine's platform has a rectangular foundation cross-section of 15 x 4 m. The height of the…

A: Write the dimensions of rectangular foundation after considering the clearance. b=15+20.75=16.5…

Q: E 1.0m- W₁ -2.0m- Situation 3: W₁ = 4 kN - m

A: Given that: W1 = distributed force = 4 kN/m It is required to determine the maximum deflection of…

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

A:

Q: Determine the slope and displacement at point C. EI is constant.

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

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: 10-136* For the shaded composite area shown in Fig. P10- 136, determine The mixed second moment Iy…

A: Given: To find the mixed section moment Ixy for the above section

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 displacement at point C and the slope at B. EI is constant.

A: First, draw the free-body diagram of the beam. As there is only one reaction at point 'B' along the…

Q: R12-7. The beam supports a vertical shear of V = 35KN. Determine the resultant force this develops…

A: V = 35 kN Moment of inertia about a centroidal axis, from tables I = 5.9584 x 10-5 m4 t = 12 mm Area…

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: Determine the slope at A of the 2014-T6 aluminum shaft having a diameter of 100 mm.

A: Given: The modulus of elasticity for aluminum shaft, E = 72 GPa  The diameter of the shaft, d = 100…

Q: Determine the slope at A of the 2014-T6 aluminum shaft having a diameter of 100 mm.

A: Consider the free body diagram is given as, The real moment function on the shaft is Mx1. Take the…

Q: Determine the equations of the elastic curve for the shaft using the x1 and x2 coordinates. Take El…

A: Given: The moment in the end 'C', Mo=900 N-m

Q: Determine the displacement at point C and the slope at B. EI is constant.

A: Given: Load acting at point C is P which is L2 distance from the points A and B Drawing the free…

Q: 5 ENim 4Nim D -2 m 2 m -2 m- -2 m-

A: Shear force diagram represents shear force at every section of the beam. Shear force at any…

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: *11-72. The reactikın of the ballast on the milway tie can be assumed uniformly distributed over its…

A: Apply condition of equilibrium to find the udl load ∑Fy=075+75-w(2.4)=0w=150/2.4=62.5 KN/m

Q: 11-89. A kog that is 06 m in diameter is to be cut into a rectangular section for use as a simply…

A: The radius of the circle is r=0.3 m By using the Pythagoras theorem 2r2=b2+h2h=4r2-b2 Now the area…

Q: Determine angles Cable to main tain W=8ON quilibrium. A. smooth R 140

A:

Q: In each case, draw the estimated elastic curve: 4 m- 8 kN.m 2 kN/m 8 kN 4 kN

A:

Q: 1. The engine's platform has a rectangular foundation cross-section of 15 x 4 m. The height of the…

A: Write the dimension of the rectangular foundation after considering clearance. b=15+20.75=16.5…

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.