Reference no: EM13867599

QUESTION 1

Figure 1 shows a beam assembly.

(a) Draw and label the free body diagram for the beam.

(b) Calculate the support reaction forces at A and B. Draw the shear force and bending moment diagrams.

(c) If the beam's cross sectional area has a dimension of 150 mm x 150 mm, calculate the largest bending stress in the beam.

QUESTION 2

A test specimen is loaded in tension (tensile test). The specimen has a diameter of 10 mm and an initial gauge length (L_o) of 150 mm. Table 1 below is the load - gauge length data obtain from the tension test.

Table 1:  Load - gauge length data

Load (kN)	Gauge Length, (mm)
0	150.00
5	150.03
10	150.06
15	150.09
20	150.12
25	150.20
30	150.62
35.3	152.00
35.6	153.00
31.9	155.30

a) Using the data in the table, calculate the engineering stress and engineering strain for each load. Tabulate your result according to the table below:

Load (kN)	Gauge Length, (mm)	Engineering stress (MPa)	Engineering strain

b) Using the engineering stress and engineering strain data calculated previously, plot a stress  strain diagram on a graph paper.

c) From the stress - strain diagram plotted, calculate the stiffness of the material being tested.

d) Using the stress - strain diagram, determine the yield strength using the 0.2% offset method.