An "I"-shape beam is subjected to bending. The loading condition and the dimension of its cross-section are shown in Figure A2-1. P=100 KN 10mm 30mm 2m Neutral axis 30mm B 10 mm C Figure A2-1 Determine the reaction forces at connections A and B. Draw the shear force and bending moment diagrams and determine the values of the maximum bending moment that the beam experiences. A (a) (b) 1m 10 mm 50 mm

For the beam illustrated in the figure, find the locations and magnitudes of the maximum tensile bending stress due to M and the maximum shear stress due to V. Parameters are a = 290 mm, b= 135 mm, c = 20 mm, h = 39 mm, and F = 4300 N. a mm FN bmm C mm hmm The moment of inertia is 6.673x105 mm4 The maximum tensile bending stress due to Mis The maximum shear stress due to Vis 0 MPa. * MPa.

Draw the complete shearing force and bending moment diagram for the beam shown in figure (2). 1200 N 96 N/m A 3.0 m 1.2 m RC Beam RB

How can I find: The bending moment relative to both the z and y axis Mz on the cross section as N.mm The second moment area relative to both the z and y axis as mm4

B P = 10 KN L = 2.5 m 1.4 What is the value of the bending moment at x = 1.5 m?

Given the beam shown below, determine the shear force and bending moment at point C. Given the dimensions a = 2 m, b = 5.9 m and c = 2 m, and the load intensities e = 10 kN/m and f = 2 kN/m. e kN/m f kN/m am bm cm A B D Shear force (observe the up on the left, down on the right positive sign convention): SFc = Number Units (tolerance 0.2 kN) Bending moment (observe the sagging positive sign convention): BMc = Number Units (tolerance 1 kN*m)

The beam shown in Figure 2 is loaded in the xy and xz planes.(a) Find the y and z components of the reactions at the supports.(b) Plot the shear and bending moment diagrams.

Please derive the following formulas of the following cases presented in the picture. These are for the maximum bending moments and maximum shear.

Given the beam shown below (E=200GPa, I=180x106 mm4, 80mmx300mm), do the following: a. Draw the shear force and bending moment diagrams b. Find the magnitude and location of the maximum tensile bending stress c. Using superposition, find the elastic curve and then the deflection of the beam at B, C, and D 8kN 4kN A B 4m 3m 3m

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