Compression Member

Problem 920 | Additional Centroidal Load to Eliminate Tensile Stress Anywhere Over the Cross Section

Problem 920
A compressive load P = 100 kN is applied, as shown in Fig. 9-8a, at a point 70 mm to the left and 30 mm above the centroid of a rectangular section for which h = 300 mm and b = 250 mm. What additional load, acting normal to the cross section at its centroid, will eliminate tensile stress anywhere over the cross section?
 

920-eccentrically-loaded-rectangular-section.jpg

 

Problem 919 | Additional Axial Compression Load for the Section to Carry No Tensile Stress

Problem 919
From the data in Prob. 918, what additional load applied at the centroid is necessary so that no tensile stress will exist anywhere on the cross-section?
 

Solution 919

Problem 918 | Stress at Each Corner of Eccentrically Loaded Rectangular Section

Problem 918
A compressive load P = 12 kips is applied, as in Fig. 9-8a, at a point 1 in. to the right and 2 in. above the centroid of a rectangular section for which h = 10 in. and b = 6 in. Compute the stress at each corner and the location of the neutral axis. Illustrate the answers with a sketch.
 

figure_9-8a_eccentrically_loaded_column.jpg

 

Eccentrically Loaded Short Compression Member

Consider the cross-section below. A compressive load P is applied at any point (ex, ey) with respect to the principal axes x and y. The moment of P about these axes are respectively
 

$M_x = Pe_y$     and     $M_y = Pe_x$

 

figure_9-9a_eccentrically_loaded_section.jpg

 

Influence Lines for Trusses

Example
For the Pratt truss shown below, draw the influence diagram for members JK, DK, and DE.
 

il-truss-given-pratt-6panels.gif

 

Problem 001-mm | Method of Members

Problem 001-mm
The structure shown in Fig F-001(MM) is pinned together at points A, B, and C and held in equilibrium by the cable CD. A load of 12,000 lb is acting at the midpoint of member AB, and a load of 8000 lb is applied at point C. Determine the reaction at A, the internal force in member BC, and the tension on cable CD.
 

Structure with cable and three-force member

 

Problem 001-mj | Method of Joints

Problem
Find the force acting in all members of the truss shown in Figure T-01.
 

001-3m-truss-given.gif

 

Analysis of Structures

There are many kinds of structure. This section will limit to those that are pin-connected. Two types of pin-connected structures will be covered here; pin-connected trusses and pin-connected frames. In the actual structure, the joints may be welded, riveted, or bolted to a gusset plate at the joint. However as long as the center-line of the member coincide at the joint, the assumption of a pinned joint maybe used.
 

Problem 309 | Equilibrium of Concurrent Force System

Problem 309
A cylinder weighing 400 lb is held against a smooth incline by means of the weightless rod AB in Fig. P-309. Determine the forces P and N exerted on the cylinder by the rod and the incline.
 

Problem 308 | Equilibrium of Concurrent Force System

Problem 308
The cable and boom shown in Fig. P-308 support a load of 600 lb. Determine the tensile force T in the cable and the compressive for C in the boom.
 

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