60 mm B 30 mm 7 mm 50 mm

Q: 7-87. The triangular plate is fixed at its base, and its apex A is given a horizontal displacement…

A: Write the given data:

Q: If P = 60 kN, determine the total strain energy stored in the truss. Each member has a…

A: We can determine the normal force in each member by applying the method of joints. once we have…

Q: Determine the maximum force P and the corresponding maximum total strain energy stored in the truss…

A: Given data as per question

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: The rod has a circular cross-section with a moment of inertia I. If a vertical force P is applied at…

A: Given data: The moment of inertia of the rod is I. The modulus of elasticity of the rod is E.…

Q: A rod has a radius of 10 mm. If it is subjected to an axial load of 15 N such that the axial strain…

A:

Q: 14-22. The bolt has a diameter of 10 mm, and the arm AB has a rectangular cross section that is 12…

A:

Q: Determine the bending strain energy in the 2-in.- diameter A-36 steel rod.

A:

Q: 14-22. The bolt has a diameter of 10 mm, and the arm AB has a rectangular cross section that is 12…

A:

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: *RI4-8. A strain gauge forms an angle of 45° with the axis of the 50-mm diameter shaft. If it gives…

A: Write the expression of the polar moment of inertia.

Q: A rod has a radius of 10 mm. If it is subjected to an axial load of 15 N such that the axial strain…

A: Given: The radius of the rod is R=10 mm The axial load on the rod is FX=15 N The axial strain in the…

Q: The shaft has a radius of 15 mm with shear modulus of elasticity of 75 GPa. Determine the normal and…

A:

Q: 7-78. If a load applied to the bar AC causes point A to be displaced to the right by an amount AL,…

A: Assumption made : Displacement is much smaller than L Draw a sketch after extension of bar AC

Q: The fiber AB has a length L and orientation u. If its ends A and B undergo very small displacements…

A: Given Length of the fiber L To find The normal strain

Q: The steel shaft has a radius of 15 mm. Determine the torque T in the shaft if the two strain gages,…

A: Write the given data:

Q: The strain gage is placed on the surface of the steel boiler as shown. If it is 0.5 in. long,…

A: Given data: Surface of the steel boiler l = 0.5 in. Elongation of gauge, Δl = 0.2 x 10-3 in. Boiler…

Q: Determine the torsional strain energy in the A-36 steel shaft. The shaft has a radius of 40 mm.

A: Draw the schematic diagram for the above problem.

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: The strain at point A on the pressure-vessel wall has components Px = 480(10-6), Py = 720(10-6), gxy…

A: Given: The normal strain in the vertical plane is PX=480×10-6. The normal strain in the horizontal…

Q: F7-25. When force P is applied to the rigid arm ABC, point B displaces vertically downward through a…

A: The normal strain of the wire CD = change in the length of wired CD/Initial length of CD. The given…

Q: 7-77. The wire AB is unstretched when e-45°. If a load is applied to the bar AC, which causes e to…

A: Given data: The angle of wire is θ = 47°. The unstretched length of wire is, Increased in length of…

Q: A rod has a radius of 10 mm. If it is subjected to an axial load of 15 N such that the axial strain…

A:

Q: A single strain gage, placed in the vertical plane on the outer surface and at an angle 60° to the…

A: The force and moment on the strain gage can be shown as follows,

Q: The stress–strain diagram for a titanium alloy can be approximated by the two straight lines. If a…

A: Given data: Dimensions of the rectangular cross-section of the strut, b = 2 in and h = 3 in So, the…

Q: Determine the maximum force P and the corresponding maximum total strain energy that can be stored…

A:

Q: Determine the maximum force P and the corre- sponding maximum total strain energy that can be stored…

A:

Q: he center portion of the rubber balloon has a diameter of d 100 mm. If the air lessure within it…

A: Given data : original diameter=100 mmfinal diameter=125 mm

Q: The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5…

A: The diagram of the triangular plate is given as,       The distance OA is written as,…

Q: If the elongation of wire BC is 0.2 mm after the force P is applied, determine the magnitude of P.…

A: Given Data: The length of wire is l = 300 mm. The diameter of wire is d = 3 mm. The elongation in…

Q: The bar DA is rigid and is originally held in the horizontal position when the weight W is supported…

A: First, draw the free body diagram of the system: Use the proportion to evaluate the value of δED:…

Q: 1.The force applied at the handle of the rigid lever causes the lever to rotate clockwise about the…

A: Draw the diagram in that the lever is rotated by 2 degrees clockwise.

Q: Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB. If…

A: Given data εAB=0.004 mm/mm

Q: The bar is made of an aluminum alloy having a stress–strain diagram that can be approximated by the…

A: Given Data: The maximum strain in the top and bottom fiber is εmax=0.05. The stress corresponding…

Q: The A-36 steel pipe is subjected to the axial loading of 60 kN. Determine the change in volume of…

A: Given data: Axial load subjected on the pipe, P = 60 kN. The inner diameter of the pipe, di = 30…

Q: The bar has a cross-sectional area of 0.5 in2 and is made of a material that has a stress-strain…

A: Given Data: The force at C is FC = 5 kip. The force at B is FB = 8 kip. The length of AB is LAB = 5…

Q: The A-36 steel bar consists of two segments, one of a circular cross-section of radius r, and one of…

A: The expression for the strain energy in the square segment is given as, Us=P2L2AE Here, P is the…

Q: The plexiglass bar has a stress–strain curve that can be approximated by the straight-line segments…

A: From the given stress-strain curve for Plexiglas bar:  Failure point in Tension: σft=60 MPa and…

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: The steel shaft has a radius of 50mm. Determine the torque (T) applied to the shaft if the two…

A: Modulus of elasticity represents the property of the material and also represents the relationship…

Q: The material distorts into the dashed position shown. Determine the average normal strains Px, Py…

A: Find out the normal strain in x-direction εx=A'F'-AFAF=150-150150=0 Find out the normal strain in…

Q: The two wires are connectec at A. If the force P causes point A to be dsplaced horizontally 2 mm,…

A: To determine the normal strain in each wire.

Q: at A has coordinates (0, 0). If a load P acts on the ring at 3 becomes EAB = 0.02 in/in., and the…

A: data providedthe length of  rod AB LAB = 5 in the length of rod Ac ,LAC = 8 in The normal…

Q: The rod has a circular cross section. If it is made of an elastic perfectly plastic material,…

A: Draw the cross section of the rod showing half-section in tension and half-section in compression.

Q: Determine the maximum force P and thecorresponding maximum total strain energy stored in thetruss…

A: The given area of cross-section of each member is The required properties of the A-36 steel are:

Q: 2. If the load P on the beam causes the end C to be displaced 10 mm downward, determine the normal…

A:

Q: The rod has a circular cross-section with a polar moment of inertia J and moment of inertia I. If a…

A: GIVEN: the rod has circular cross section with a polar moment of inertia J and moment of inertia I

Q: The rod has a circular cross section. If it is made of an elastic perfectly plastic material,…

A: The shape factor of the round bar is independent of the radius of the cross-section.

Q: 7-71. An air-filled rubber ball has a diameter of 150 mm. If the air pressure within it is increased…

A: The initial diameter of the ball is, Di=150 mm The final diameter of the ball is, Df=175 mm

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.