Problem 1: A simply supported beam carries two concentrated loads and two uniformly distributed loads as indicated in figure below
Calculate the support reaction at B and E and demonstrate the independent check used to ensure your calculated values are correct
Draw shear force diagram for the above beam approximately to scale showing all values at points A, B, C, D and E.
Draw the bending moment diagram for the above beam approximately to scale showing all values at points A, B, C, D and E also the location and size of the maximum moment.
Problem 2:
For the simply supported beam shown in Figure,
Determine the reactions at A and B
Draw shear force diagram for the beam approximately to scale showing all values at significant points.
Draw the bending moment diagram for the above beam approximately to scale showing all values at significant points, also the location and size of the maximum moment.
Problem 3:
For the truss shown below all the vertical members are 3.0 meter long and all horizontal members are 1.5 meter long.
Calculate the support reactions at A and B for the truss
On a neat sketch show the magnitude and direction of the horizontal and vertical components of the reaction forces calculated in "I" above
Using method of joins or method of sections, calculate the forces in the members a, b, c, d, e, f and g. For non-zero forces, state whether the member is in tension or compression.
Problem 4:
The pin-jointed truss shown in figure has a hinge support at A and a roller support at E. Three 4 kN forces are suspended at joints H, G and F respectively, and two horizontal forces of 2 kN each are applied at joints B and C as shown.
Calculate the support reaction components at A and E
Calculate the magnitude and sense of the member forces DE, DF and EF using joint resolution
Calculate the magnitude and sense of the member forces BC, BG and HG using the method of sections
Problem 5:
Refer to section shown in Figure below, and answer the following
Determine the location ? ( distance from bottom side of the cross section to neutral axes) for the horizontal principle axis X - X
Calculate I_xx and I_yy
Calculate r_xx and r_yy
CalculateZ_yy
Calculate Z_xx for top flange