6 kN/m 50 kN 6 m

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: If the beam is subjected to a bending moment of M = 20 kN # m, determine the maximum bending stress…

A: Given data: *The bending moment on the beam is M=20×103 N. The figure below represents the I section…

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

A: The properties of W10×15 are given as, The static deflection at mid-point is written as,

Q: The beam is made of phenolic, a structural plastic, that has the stress–strain curve shown. If a…

A: Given data To determine the magnitude of uniformly distributed load in the section for not to…

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

A: Given data: *The moment of inertia of the steel beam is I=80×10^4 mm4. *The young’s modulus of the…

Q: The bending moment acting on the triangular cross section of a beam is 3.6 kN m. Determine the…

A:

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: Determine the torsional strain energy in the A992 steel shaft. The shaft has a radius of 50 mm.

A: Free body diagram of shaft . Radius of shaft=50 mm , d=100 mm=0.1 mdivide the shaft into two…

Q: The beam is made of elastic perfectly plastic material for which sY = 345 MPa. Determine the maximum…

A: Given data: The yield strength is SY=345 MPa. Determine the moment of inertia about neutral axis:…

Q: The steel beam is supported on two springs, each having a stiffness of k = 8 MN>m. Determine the…

A: Given Data: The uniform distributed load is: w=2 kN/m. The moment of inertia of the beam is: I=5 X…

Q: snip

A: From the given data;

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: If the beam is subjected to an internal moment of M=30 kN.m, determine the maximum bending stress in…

A: Bending stress distribution

Q: The composite beam consists of a wood core and two plates of steel. If the allowable bending stress…

A:

Q: Determine the torsional strain energy in the A992 steel shaft. The shaft has a radius of 40 mm.

A: Draw the side view of the shaft. Let AB be the segment 1, BC be the segment 2, and CD be the…

Q: Determine the equations of the elastic curve using the coordinates x1 and x2. What is the slope at C…

A: Beam deflect in two ways, one linear and second is angular. Displacement is called Deflection and…

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

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

A:

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: A 40-lb weight is dropped from a height of h = 2 ft. A 40-lb weight is dropped from a height of h =…

A: Here firstly we convert this problem into a static problem and then calculate the impact  bending…

Q: W A C В 1 /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: 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 minimum height h(mm) of the cross section of the beam loaded as shown. The maximum…

A:

Q: The composite beam consists of a wood core and two plates of steel. If the allowable bending stress…

A: Mmax Composite beam consist of wooden core and covered with two plates. Bending stress of wood,…

Q: The A992 steel beam shown in Fig. a is a W10 * 39. Determine the maximum bending stress in the beam…

A: Modulus of elasticity (E)  A992 steel beam = 2987 ksi = 20.594 GPa ho = 2 in W = 1.5 kip W10 * 39…

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: Q7) The member has a brass core bonded to a steel casing. If a couple moment of 10 kN.m is applied…

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: Determine the bending strain energy in the beam. EI is constant.

A: Given: The bending moment of the simply supported beam is M0  and L is the length of the beam, where…

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

A:

Q: The composite beam consists of a wood core and two plates of steel. If the allowable bending stress…

A: Given data  Allowable bending stress for wood, 20MPa Allowable bending stress for steel, 130MPa…

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

A:

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 bending strain energy in the beam. EI is constant.

A: there are two type of load acting on the body, first due to uniform loading second due to weight…

Q: The stepped bar has a thickness of 10 mm. Determine the maximum moment that can be applied to its…

A: Given data: The thickness of the stepped bar is t = 10 mm. The allowable bending stress is…

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: FII-9. If the beam is subjected to a bending moment of M = 20 kN - m, determine the maximum bending…

A: Calculate the centroid in the y-axis of the beam is as follows:…

Q: 5. A beam has the cross-section shown and 10 mm V (N) it is subjected to loading as shown by the…

A: Answer: (a) The maximum shear stress is 41.14 MPa. (b) The maximum bending stress is 13063.063 MPa.…

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: 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 beam AB supports a load which varies an intensity of w1 = 6 N/m to w2 = 12 N/m.

A:

Q: Determine the total strain energy in the steel assembly. Consider the axial strain energy in the two…

A: From the above given FBDThe load is located at the middle of the beamso both the supporting…

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: 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: The white spruce beam is reinforced with A-992 steel straps at its center and sides. Determine the…

A: The Young’s modulus of white spruce wood is 1.4×106 psi. The Young’s modulus of structural steel is…

Q: Determine the bending stress at point A on the cross section a-a of the beam shown in Sec.: F Fig.…

A:

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

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.