statics

determine the required length of the cord AC so that the 8 kg lamp is sudpended. The undeformed length of the spring AB is I' ab = 0.4m, and the spring has a stiffness of Kab = 300 N/m.

Timber Design

Problem 1005
A timber beam 6 in. by 10 in. is reinforced only at the bottom by a steel plate as shown in Fig. P-1005. Determine the concentrated load that can be applied at the center of a simply supported span 18 ft long if n = 20, fs ≤ 18 ksi and fw ≤ 1200 psi. Show that the neutral axis is 7.1 in. below the top and that INA = 1160 in.4.

Moment Area theorem problem. please help

I've been trying to solve the following question for 2 days now and i can't seem to be able to. can someone help me please ?

For the beam shown in Figure 3, the support at A is fully fixed. The beam is tapered however you may consider it to be a beam of 3 varying sections.

Take:
Beam A to B as having 3 times the I value of beam D to end, Beam B to D as having 1.5 times the I value of beam D to end and Beam D to end is 310 UB 46.2 with I = 100 x 106 mm4. Tip: this may be easier to solve using superposition.

I need help on this question about direct stress, strain and dimensional change in a component

The under carriage strut of an aircraft in development is to be manufactured from
tube and has an internal diameter (25mm) and external diameter (32mm). It is
connected to the wheel stub axle assembly using a clevis pin arrangement (See
figure 1). The strut and clevis pin are all manufactured from the same grade of
steel which has a Modulus of Elasticity (E) of 210GPa and a Shear Modulus (G) of 80Gpa

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