Three-Hinged Arch

Situation
The three-hinged arch shown below is loaded with symmetrically placed concentrated loads as shown in the figure below.
 

2015-may-design-three-hinged-arch-given.png

 

The loads are as follows:
$$P_1 = 90 ~ \text{kN} \qquad P_2 = 240 ~ \text{kN}$$
 

The dimensions are:
$$H = 8 ~ \text{m} \qquad S = 4 ~ \text{kN}$$
 

Calculate the following:
 

1.   The horizontal reaction at A.

A.   0 C.   330 kN
B.   285 kN D.   436 kN

2.   The total reaction at B.

A.   0 C.   330 kN
B.   285 kN D.   436 kN

3.   The vertical reaction at C.

A.   0 C.   330 kN
B.   285 kN D.   436 kN

 

Problem 447 - Compound Truss Formed Into Three-Hinged Arch

Problem 447
The truss are joined as shown in Figure P-447 to form a three-hinged arch. Determine the horizontal and vertical components of the hinge force at B and then determine the type and magnitude of force in bars BD and BE.
 

447-compound-truss.gif

 

Problem 446 - Compound Truss Formed Into Three-Hinged Arch

Problem 446
A three-hinged arch is composed of two trusses hinged together at D in Figure P-446. Compute the components of the reaction at A and find the forces acting in bars AB and AC.
 

446-compound-truss.gif

 

 
 
Subscribe to RSS - Three-Hinged Arch