shear and moment diagrams

Example 03
The propped beam shown in Fig. P -706 is loaded by decreasing triangular load varying from w_o from the simple end to zero at the fixed end. Find the support reactions and sketch the shear and moment diagrams
 

Problem 511
A simply supported rectangular beam, 2 in wide by 4 in deep, carries a uniformly distributed load of 80 lb/ft over its entire length. What is the maximum length of the beam if the flexural stress is limited to 3000 psi?
 

Problem 510
A 50-mm diameter bar is used as a simply supported beam 3 m long. Determine the largest uniformly distributed load that can be applied over the right two-thirds of the beam if the flexural stress is limited to 50 MPa.
 

Problem 509
A section used in aircraft is constructed of tubes connected by thin webs as shown in Fig. P-509. Each tube has a cross-sectional area of 0.20 in². If the average stress in the tubes is no to exceed 10 ksi, determine the total uniformly distributed load that can be supported in a simple span 12 ft long. Neglect the effect of the webs.
 

Problem 508
Determine the minimum height h of the beam shown in Fig. P-508 if the flexural stress is not to exceed 20 MPa.
 

Problem 428
Beam loaded as shown in Fig. P-428.

Problem 426
Cantilever beam acted upon by a uniformly distributed load and a couple as shown in Fig. P-426.