A 75 mm × 150 mm beam carries a uniform load wo over the entire span of 1.2 m. Square notches 25 mm deep are provided at the bottom of the beam at the supports. Calculate the safe value of wo based on shear alone.
Allowable shear parallel to grain = 1.40 MPa
Allowable shear normal to grain = 1.85 MPa
Influence line is the graphical representation of the response function of the structure as the downward unit load moves across the structure. The ordinate of the influence line show the magnitude and character of the function.
The most common response functions of our interest are support reaction, shear at a section, bending moment at a section, and force in truss member.
With the aid of influence diagram, we can...
determine the position of the load to cause maximum response in the function.
For the continuous beam shown in Fig. P-853, determine the moment over the supports. Also draw the shear diagram and compute the maximum positive bending moment. (Hint: Take advantage of symmetry.)