18 kN-m 18 kN-m D -3m-C 4 m -4 m 3 m-

Q: 12-83. The W250 × 22 cantilevered beam is made of A-36 steel and is subjected to the loading shown.…

A: The free body diagram of the loaded beam is shown below:

Q: The W14 * 43 simply supported beam is made of A992 steel and is subjected to the loading shown.…

A: Write the given data: Write the properties of A992 steel

Q: Draw the influence lines for the vertical reactions at supports A and E and the reaction moment at…

A: First, make a FBD of the diagram as shown below.

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

A: Draw the free-body diagram.

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

A: The diagram of the support and load is represented below, The sum of the vertical forces on the…

Q: F12-2. Determine the slope and deflection of end A of the cantilevered beam. E = 200 GPa and I =…

A:

Q: Part A- woa Determine the slope of the beam at c = a is assuming EI w = 6wo-

A:

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

A: Find Reactions at A and B by resolving UVL into point loads.

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: The column is constructed from high-strength concrete and eight A992 steel reinforcing rods. If the…

A:

Q: 600 N 800 N 1m 2 m 900 N. m 600 N 800 N Im 2 m 900 N. m 600 N 800 N 1m 1m 2m

A: Explaining the correct free-body diagram (FBD) of the beam.

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

A:

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

A:

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

A: Draw the free body diagram and calculate the reactions: Use static equilibrium conditions to…

Q: Determine the maximum height h from which an 80-lb weight can be dropped onto the end of the A-36…

A: Write the expression for  Static deflection due to point load acting at the end.

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

A: Properties: Let us consider a 1 kN concentrated weight is applied at the point D. Consider the free…

Q: Compute the slope at C. 45 kip-ft B C 21 -12- -9- 1272.13/EI 4860/EI 310/EI O 454.78

A: The Answer is below

Q: Determine the slope at A of the W14 * 26 beam made from A992 steel.

A: For W14x26 beam, I=245 in4=0.0118 ft4 (from the standard data of Wide flange beams) and for A992…

Q: Determine the vertical reaction at Ain kN for the beam shown below, where: L1=3 m L2=2 m Lg-2 m 91-2…

A:

Q: Determine the vertical displacement of point C of the A992 steel beam. I = 80(106) mm4.

A: Given: The moment of inertia of the beam, I = 80x10^6 mm^4 The modulus of elasticity for A992 steel,…

Q: |160 kN W310 × 74 c For the beam and loading shown, determine the slope at end A. Use E = 200 GPa.…

A:

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: Determine the slope u at point B of the steel beam as shown. Take E = 200 GPa, I = 60(106) mm4.

A: given cantilever beam ABCpoint load acting on free end P=3kN=3000Nlength of beam…

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: The A992 steel bars are pin connected at B and C. If they each have a diameter of 30 mm, determine…

A: Now Draw the free body diagram for the above problem. Write the expression for energy stored in…

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: Determine the slope at A. EI is constant.

A: FMBA = -WL2/12 FMAB = WL2/12 Slope deflection equation :  MBA = FMBA + 2EI/L (2QB +QA - 3Δ/L) Δ = 0;…

Q: Determine the slope at points B and C of the beam shown. Take E = 29(103) ksi and I = 600 in4.

A: The beam is given as,

Q: Determine the slope of end C of the overhang beam. EI is constant.

A:

Q: Determine the slope at point C on the shaft in Fig.a. EI is constant.

A: Given Data: The bending moment diagram between point D-C is linear. The slope of point D is zero,…

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

A: Given data: load = wo Total length of beam = L EI=constant Determine the slope of the shaft

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 slope at A and the maximum deflection of the beam. EI is constant.

A: Given: EI is constant To determine: The slope at A  The maximum deflection of the beam

Q: A 40-lb weight is dropped from a height of h = 2 ft onto the center of the cantilevered A992 steel…

A: Given data: Weight dropped, P = 40 lb. Height, h = 2 ft. = 24 in. Length upto which load is…

Q: The load on a cantilever beam AB has a triangulardistribution with maximum intensity q0 (seefigure).…

A: Given    Load = qo Length = L Find   Angle of rotation   Deflection

Q: Determine the maximum deflection of the solid circular shaft. The shaft is made of steel having E =…

A: Given data as per the question Diameter of shaft =100 mm Value of E =200 Gpa

Q: 6 kN - 2 m- 1 m B

A: To calculate the deflection and slope at point B, we must first obtain the elastic curve equation…

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: The wires each have a diameter of 1 2 in., length of 2 ft, and are made from 304 stainless steel. If…

A: Given diameter of wire d=0.5 inch length of wire l=2 feet Material of wire 304 stainless steel…

Q: The W10 * 15 cantilevered beam is made of A-36 steel and is subjected to the loading shown.…

A: Given Data: The loads acting on the beam area 4 kip and 6 kips. The beam is W 10×15 cantilevered…

Q: Using IPE shape, design the beam shown. Neglect Vy. F= 13AN, L= Im, o1 = 120MP.. M. B L.

A: For solution refer below images.

Q: A beam made from A992 steel is subjected to an internal moment of M3D0.060 MN.m, determine the…

A: given internal moment, M=0.06MNm=0.06×109Nmm

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.