The beam in Figure has an internal hinge at the point B along the length of the beam. a) Discuss the stability of the beam b) Sketch the force diagram of the beam c) Calculate the values of the reactive forces d) Develop the shear force equation along each segment of the beam and plot the dimension force diagram on a graph paper e) Develop the bending moment equation along each segment of the beam and plot the dimen bending moment diagram on a graph paper 200 kN 20 kN/m ¦ a ! b A Ia 10 m B ¦ b 10 m 5 m Figure 1

subject: Statics of Rigid Bodies show your solution  a. What is the force at Cb. What is the force at B

3: Analysis the structure shown in figure, El is constant W=20 KN/m P-40 KN B4 4m

Solve this

A rigid plate C is used to transfer a 20-kip load P to a steel (E = 30,000 ksi) rod A and to an aluminum alloy (E = 10,000 ksi) pipe B as shown. The supports at the top of the rod and the bottom of the pipe are rigid, and the materials were unstressed before the load was applied. The cross-sectional areas of rods A and pipe B are 0.80 in2 and 3.00 in2 respectively. Determine The normal stress in rod A in ksi, The normal stress in pipe B in ksi and The displacement of plate C in inches.  Note: Draw the Free Body Diagram, include the units/dimensions, use the proper formula and round-off all the answers and final answers to 5 decimal places.

For the loaded beam shown below , Estimate the Reaction Values of supports

The force system acting on the machine part is equivalent to the single force R=475i+50j acting at O. (a)Find the value of P. (b)What is the value of the y-component of P? (c)Find the value of b. (d)What is the value of x-component of P?

The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and has a cross-sectional area of 519 mm2; link CE is made of steel (E = 200 GPa) and has a cross-sectional area of 619 mm?. For the 41 kN force shown, determine the deflection of B (mm) *deflection should have a negative sign if compression and positive if tension. Also, your final answer should have two decimal places 04 m 0.3 m E 0.4 m 0.2 m

Using the force (flexibility/compatibility) method, analyse the structure in the figure below: A B ΕΙ C

The picture shows a truss subjected to a load P at joint C. Considering that the two bars have the same length, crosssection area A and modulus of elasticity E: a. Compute the internal forces in bars BC and CD. Indicate if they are in compression or tension. b. Calculate the total deformation of the bars BC and CD. c. Compute the displacement of joint C. d. Determine the principal stresses in the bar BC and their angles of orientation (principal planes) with respect to the x-axis shown in the picture. Is there a shear stress in this plane? e. Indicate the maximum shear stress in the bar BC. What is the angle of orientation with respect to the principal plane